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Gaussian states and Gaussian transformations represent an interesting counterpart to two-level photonic systems in the field of quantum information processing. On the theoretical side, Gaussian states are easily described using first and second moments of the quadrature operators; from the experimental point of view, Gaussian operations can be implemented using linear optics and optical parametric amplifiers. The biggest advantage compared to two-level photonic systems, is deterministic generation of entangled states in parametric amplifiers and highly efficient homodyne detection. In this presentation, we propose new protocols for manipulation of entanglement of Gaussian states. Firstly, we study entanglement concentration of split single-mode squeezed vacuum states by photon subtraction enhanced by local coherent displacements. These states can be obtained by mixing a single-mode squeezed vacuum state with vacuum on a beam splitter and are, therefore, generated more easily than two-mode squeezed vacuum states. We show that performing local coherent displacements prior to photon subtraction can lead to an enhancement of the output entanglement. This is seen in weak-squeezing approximation where destructive quantum interference of dominant Fock states occurs, while for arbitrarily squeezed input states, we analyze a realistic scenario, including limited transmittance of tap-off beam splitters and limited efficiency of heralding detectors. Next, motivated by results obtained for bipartite Gaussian states, we study symmetrization of multipartite Gaussian states by local Gaussian operations. Namely, we analyze strategies based on addition of correlated noise and on quantum non-demolition interaction. We use fidelity of assisted quantum teleportation as a figure of merit to characterize entanglement of the state before and after the symmetrization procedure. Analyzing the teleportation protocol and considering more general transformations of multipartite Gaussian states, we show that the fidelity can be improved significantly.

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Chiral symmetry breaking and confinement effects on dilepton and photon produ...

Slides used in presentation at:
“New perspectives on Photons and Dileptons in Ultrarelativistic Heavy-Ion Collisions at RHIC and LHC”, in November, 2015 @ ECT*, Trento, Italy

How to "see" a neutrino?

This document discusses various methods for detecting neutrinos. It is very difficult to detect neutrinos due to their weak interactions. The earliest detection was through inverse beta decay using a nuclear reactor. Later, the Sudbury Neutrino Observatory was able to detect neutrinos via different interactions in deuterium, providing evidence of neutrino flavor oscillations. Now, large detectors like IceCube are detecting high-energy neutrinos from astrophysical sources. Measuring the neutrino mass precisely remains challenging but various techniques using beta decay spectra provide upper limits.

Wave-packet Treatment of Neutrinos and Its Quantum-mechanical Implications

The document discusses the wave-packet treatment of neutrinos and its implications. It defines the volume occupied by a neutrino wave packet based on its probability distribution. It then introduces the concept of overlap factor to quantify how likely neutrino wave packets from a source overlap in the detector. The overlap factor depends on source intensity, neutrino energy, and geometric factors. It is estimated that the overlap could be significant for neutrinos from radioactive sources but negligible for accelerator and reactor neutrinos. For astrophysical sources like the Sun and supernovae, the overlap is expected to be overwhelming given their intense fluxes.

Pairing and Symmetries in Nuclear Matter

This document discusses nuclear pairing phenomena using a Dirac-Hartree-Fock-Bogolyubov approach. Key findings include:
1) Nuclear pairing occurs when nucleons within nuclei or neutron stars form strongly correlated pairs at short distances. This includes standard proton-proton and neutron-neutron pairing.
2) The Dirac-Hartree-Fock-Bogolyubov approach provides a relativistic description of nuclear matter using mean fields and particle-hole and particle-particle transformations.
3) Symmetries of the Dirac-Hartree-Fock-Bogolyubov Hamiltonian, including isospin symmetry, allow certain unitary transformations that can diagonalize the Hamiltonian.

A robust stabilised immersed finite element framework for complex fluid-struc...

This document summarizes a presentation on a robust stabilized immersed finite element framework for complex fluid-structure interaction. It discusses the motivation and requirements for modeling FSI problems with large deformations and topological changes. The formulation uses a cut-cell approach with subtriangulation and adaptive integration. Fluid equations are stabilized using SUPG, PSPG, and ghost penalties. Fluid-rigid body interaction is modeled using a staggered scheme with second-order accuracy. Fluid-flexible body interaction can be modeled with either second-order or first-order accuracy depending on the time integration and coupling scheme used. Several numerical examples are presented to validate the framework.

Many-body Green functions theory for electronic and optical properties of or...

Many-body Green functions theory for electronic and optical properties of organic systems
(are physicists any good at chemistry?)

NANO266 - Lecture 10 - Temperature

UCSD NANO 266 Quantum Mechanical Modelling of Materials and Nanostructures is a graduate class that provides students with a highly practical introduction to the application of first principles quantum mechanical simulations to model, understand and predict the properties of materials and nano-structures. The syllabus includes: a brief introduction to quantum mechanics and the Hartree-Fock and density functional theory (DFT) formulations; practical simulation considerations such as convergence, selection of the appropriate functional and parameters; interpretation of the results from simulations, including the limits of accuracy of each method. Several lab sessions provide students with hands-on experience in the conduct of simulations. A key aspect of the course is in the use of programming to facilitate calculations and analysis.

Wasserstein GAN

This document summarizes and compares different distances that can be used in generative adversarial networks (GANs). It introduces the Wasserstein distance, also known as the Earth Mover (EM) distance or Wasserstein-1 distance. The document shows that the Wasserstein distance is more meaningful than other distances like total variation, Kullback-Leibler divergence, and Jensen-Shannon divergence when the real and generated distributions start to differ but their support still overlap. It also demonstrates that training GANs with the Wasserstein distance provides improved stability during training compared to other distances. Several theorems and examples are provided to illustrate properties of the Wasserstein distance such as Lipschitz continuity.

Chiral symmetry breaking and confinement effects on dilepton and photon produ...

Slides used in presentation at:
“New perspectives on Photons and Dileptons in Ultrarelativistic Heavy-Ion Collisions at RHIC and LHC”, in November, 2015 @ ECT*, Trento, Italy

How to "see" a neutrino?

This document discusses various methods for detecting neutrinos. It is very difficult to detect neutrinos due to their weak interactions. The earliest detection was through inverse beta decay using a nuclear reactor. Later, the Sudbury Neutrino Observatory was able to detect neutrinos via different interactions in deuterium, providing evidence of neutrino flavor oscillations. Now, large detectors like IceCube are detecting high-energy neutrinos from astrophysical sources. Measuring the neutrino mass precisely remains challenging but various techniques using beta decay spectra provide upper limits.

Wave-packet Treatment of Neutrinos and Its Quantum-mechanical Implications

The document discusses the wave-packet treatment of neutrinos and its implications. It defines the volume occupied by a neutrino wave packet based on its probability distribution. It then introduces the concept of overlap factor to quantify how likely neutrino wave packets from a source overlap in the detector. The overlap factor depends on source intensity, neutrino energy, and geometric factors. It is estimated that the overlap could be significant for neutrinos from radioactive sources but negligible for accelerator and reactor neutrinos. For astrophysical sources like the Sun and supernovae, the overlap is expected to be overwhelming given their intense fluxes.

Pairing and Symmetries in Nuclear Matter

This document discusses nuclear pairing phenomena using a Dirac-Hartree-Fock-Bogolyubov approach. Key findings include:
1) Nuclear pairing occurs when nucleons within nuclei or neutron stars form strongly correlated pairs at short distances. This includes standard proton-proton and neutron-neutron pairing.
2) The Dirac-Hartree-Fock-Bogolyubov approach provides a relativistic description of nuclear matter using mean fields and particle-hole and particle-particle transformations.
3) Symmetries of the Dirac-Hartree-Fock-Bogolyubov Hamiltonian, including isospin symmetry, allow certain unitary transformations that can diagonalize the Hamiltonian.

A robust stabilised immersed finite element framework for complex fluid-struc...

This document summarizes a presentation on a robust stabilized immersed finite element framework for complex fluid-structure interaction. It discusses the motivation and requirements for modeling FSI problems with large deformations and topological changes. The formulation uses a cut-cell approach with subtriangulation and adaptive integration. Fluid equations are stabilized using SUPG, PSPG, and ghost penalties. Fluid-rigid body interaction is modeled using a staggered scheme with second-order accuracy. Fluid-flexible body interaction can be modeled with either second-order or first-order accuracy depending on the time integration and coupling scheme used. Several numerical examples are presented to validate the framework.

Many-body Green functions theory for electronic and optical properties of or...

Many-body Green functions theory for electronic and optical properties of organic systems
(are physicists any good at chemistry?)

NANO266 - Lecture 10 - Temperature

UCSD NANO 266 Quantum Mechanical Modelling of Materials and Nanostructures is a graduate class that provides students with a highly practical introduction to the application of first principles quantum mechanical simulations to model, understand and predict the properties of materials and nano-structures. The syllabus includes: a brief introduction to quantum mechanics and the Hartree-Fock and density functional theory (DFT) formulations; practical simulation considerations such as convergence, selection of the appropriate functional and parameters; interpretation of the results from simulations, including the limits of accuracy of each method. Several lab sessions provide students with hands-on experience in the conduct of simulations. A key aspect of the course is in the use of programming to facilitate calculations and analysis.

Wasserstein GAN

This document summarizes and compares different distances that can be used in generative adversarial networks (GANs). It introduces the Wasserstein distance, also known as the Earth Mover (EM) distance or Wasserstein-1 distance. The document shows that the Wasserstein distance is more meaningful than other distances like total variation, Kullback-Leibler divergence, and Jensen-Shannon divergence when the real and generated distributions start to differ but their support still overlap. It also demonstrates that training GANs with the Wasserstein distance provides improved stability during training compared to other distances. Several theorems and examples are provided to illustrate properties of the Wasserstein distance such as Lipschitz continuity.

NANO266 - Lecture 4 - Introduction to DFT

UCSD NANO 266 Quantum Mechanical Modelling of Materials and Nanostructures is a graduate class that provides students with a highly practical introduction to the application of first principles quantum mechanical simulations to model, understand and predict the properties of materials and nano-structures. The syllabus includes: a brief introduction to quantum mechanics and the Hartree-Fock and density functional theory (DFT) formulations; practical simulation considerations such as convergence, selection of the appropriate functional and parameters; interpretation of the results from simulations, including the limits of accuracy of each method. Several lab sessions provide students with hands-on experience in the conduct of simulations. A key aspect of the course is in the use of programming to facilitate calculations and analysis.

Real Time Spectroscopy

In this talk I will present real-time spectroscopy and different code to perform this kind of calculations.
This presentation can be download here:
http://www.attaccalite.com/wp-content/uploads/2022/03/RealTime_Lausanne_2022.odp

The gw method in quantum chemistry

Slides to the presentation 'The gw method in quantum chemistry' given at the quantum chemistry in Belgium conference January 30 2018 Brussels

NANO266 - Lecture 3 - Beyond the Hartree-Fock ApproximationUCSD NANO 266 Quantum Mechanical Modelling of Materials and Nanostructures is a graduate class that provides students with a highly practical introduction to the application of first principles quantum mechanical simulations to model, understand and predict the properties of materials and nano-structures. The syllabus includes: a brief introduction to quantum mechanics and the Hartree-Fock and density functional theory (DFT) formulations; practical simulation considerations such as convergence, selection of the appropriate functional and parameters; interpretation of the results from simulations, including the limits of accuracy of each method. Several lab sessions provide students with hands-on experience in the conduct of simulations. A key aspect of the course is in the use of programming to facilitate calculations and analysis.

Dynamic magnification factor-A Re-evaluation

This report is a re-evaluation on DMF as derived in conventional books and as we have used to derive. The report shows in details about the changes in values obtained.

Neutral Electronic Excitations: a Many-body approach to the optical absorptio...

Neutral Electronic Excitations: a Many-body approach to the optical absorption spectra.
Introduction to Bethe-Salpeter equation and linear response theory.

Detection of unknown signal

This document discusses energy detection of unknown signals in fading environments. It proposes modeling the received signal power distribution under combined slow and fast fading. This allows deriving the distribution of the detector's decision variable in closed form. Specifically:
1) It models the received signal as the sum of the signal and noise, scaled by a complex channel amplitude representing fast and slow fading.
2) It derives an expression for the sufficient statistic at the detector's output and simplifies it under assumptions of high sample numbers and independent samples.
3) It expresses the distribution of the decision variable as an integral of the distribution for a fixed SNR, averaged over the SNR distribution due to fading.
4) It provides the specific

Approximations in DFT

In this talk I will discuss different approximations in DFT: pseduo-potentials, exchange correlation functions.
The presentation can be downloaded here:
http://www.attaccalite.com/wp-content/uploads/2022/03/dft_approximations.odp

[KHBM] Application of network analysis based on cortical thickness to obsessi...

This was presented at The Biannual Meeting of Korean Society of Human Brain Mapping (KHBM), Seoul, Korea (Nov 2011). It was selected for the Excellent Oral Award.

Non-interacting and interacting Graphene in a strong uniform magnetic field

We study monolayer graphene in a uniform magnetic field in the absence and presence of interactions. In the non-interacting limit for p/q flux quanta per unit cell, the central two bands have 2q Dirac points in the Brillouin zone in the nearest-neighbor model. These touchings and their locations are guaranteed by chiral symmetry and the lattice symmetries of the honeycomb structure. If we add a staggered potential and a next nearest neighbor hopping we find their competition leads to a topological phase transition. We also study the stability of the Dirac touchings to one-body perturbations that explicitly lowers the symmetry.
In the interacting case, we study the phases in the strong magnetic field limit. We consider on-site Hubbard and nearest-neighbor Heisenberg interactions. In the continuum limit, the theory has been studied before [1]. It has been found that there are four competing phases namely, ferromagnetic, antiferromagnetic, charge density wave, and Kekulé distorted phases. We find phase diagrams for q=3,4,5,6,9,12 where some of the phases found in the continuum limit are co-existent in the lattice limit with some phases not present in the continuum limit.
[1] M. Kharitonov PRB 85, 155439 (2012)
*NSF DMR-1306897
NSF DMR-1611161
US-Israel BSF 2016130

MARM_chiral

The document describes a protocol for using theoretical calculations and UV-visible circular dichroism (CD) spectroscopy to assign the absolute configuration of chiral molecules. Quantum chemical calculations are used to optimize molecular geometries, calculate electronic transitions, and predict CD spectra. Multiple conformations are considered. The predicted CD spectra are compared to experimental spectra to assign absolute configuration. The method provides a reliable way to assign configuration without destructive experiments and can complement other physical methods.

Complex Dynamics and Statistics in Hamiltonian 1-D Lattices - Tassos Bountis

Complex Dynamics and Statistics in Hamiltonian 1-D Lattices - Tassos Bountis Lake Como School of Advanced Studies

This document provides an outline for a lecture on complex dynamics in Hamiltonian systems. Some key points:
1) Simple periodic orbits called nonlinear normal modes exist and can destabilize, leading to weak or strong chaos depending on their properties.
2) Dynamical indicators like Lyapunov exponents and the Generalized Alignment Index (GALI) can identify regions of order and chaos. The Lyapunov spectrum indicates when orbits explore the same chaotic region.
3) GALI rapidly detects chaos as deviation vectors become aligned, and identifies quasiperiodic motion by vectors remaining independent. It distinguishes weak and strong chaos based on exponential decay rates.Quantum chaos of generic systems - Marko Robnik

This document summarizes research on quantum chaos, including the principle of uniform semiclassical condensation of Wigner functions, spectral statistics in mixed systems, and dynamical localization of chaotic eigenstates. It discusses how in the semiclassical limit, Wigner functions condense uniformly on classical invariant components. For mixed systems, the spectrum can be seen as a superposition of regular and chaotic level sequences. Localization effects can be observed if the Heisenberg time is shorter than the classical diffusion time. The document presents an analytical formula called BRB that describes the transition between Poisson and random matrix statistics. An example is given of applying this to analyze the level spacing distribution for a billiard system.

Non-linear optics by means of dynamical Berry phase

This document discusses nonlinear optics and the dynamical Berry phase. It introduces nonlinear optics and summarizes early experiments. It then discusses how the Berry phase is related to nonlinear optical effects like second harmonic generation (SHG). Computational methods are presented for calculating SHG and other nonlinear optical properties from first principles using time-dependent density functional theory and the dynamical Berry phase. Examples of applying these methods to study SHG in semiconductors are provided.

Semi-empirical Monte Carlo optical-gain modelling of Nuclear Imaging scintill...

The document describes a semi-empirical Monte Carlo model to estimate the optical gain (DOG) of single crystal scintillators excited by gamma rays. The model divides the crystal into layers, uses EGSnrc to simulate gamma ray absorption, and combines this with an analytical model of optical photon propagation between layers. The model is validated against experimental data for LSO:Ce, GSO:Ce and YAP:Ce crystals at 140keV and 364keV. Results show the model can predict DOG values and determine an optimum crystal thickness for different gamma ray energies.

Alexei Starobinsky - Inflation: the present status

This document summarizes a presentation on inflation and the present status of inflationary cosmology. It discusses the key epochs in the early universe, including inflation, and how inflation solved issues with prior models. Observational evidence for inflation is presented, including measurements of the primordial power spectrum and constraints on the tensor-to-scalar ratio. Simple single-field inflation models are shown to match observations. The document also discusses the generation of primordial perturbations from quantum fluctuations during inflation and how this provides the seeds for structure formation.

1 s2.0-s0022460 x00931079-main

This document describes a new rotor balancing method that uses an optimization technique called genetic algorithm to calculate correction masses without requiring test runs. It introduces the new method and compares it to the traditional influence coefficient method. The new method calculates theoretical unbalance responses and measures original unbalance vibrations to optimize the correction masses using genetic algorithm in order to minimize residual vibrations at selected speeds and locations. Both simulation and experimental results show the new method can effectively reduce residual vibrations.

Serie de dyson

This document reviews research on the convergence of perturbation series in quantum field theory. It discusses Dyson's argument that perturbation series in quantum electrodynamics (QED) have zero radius of convergence due to vacuum instability when the coupling constant is negative. Large-order estimates show that perturbation series coefficients grow factorially fast in quantum mechanics and field theories. Finally, it describes the method of Borel summation, which may allow extracting the exact physical quantity from a divergent perturbation series through a unique mapping.

Phase-field modeling of crystal nucleation I: Fundamentals and methods

This document summarizes phase-field modeling of homogeneous crystal nucleation using two main methods. The first method adds fluctuations (noise) to the phase-field equations of motion to mimic natural nucleation. The noise amplitude is determined by the fluctuation-dissipation theorem. This models nucleation without assuming a sharp interface or bulk properties. The second method places supercritical crystal seeds randomly in space and time to model nucleation. Quantitative results from both methods are difficult to obtain due to limitations of classical nucleation theory. The document outlines the phase-field model and equations used to simulate homogeneous nucleation and crystal growth in 2D with and without noise to demonstrate convergence with spatial and temporal discretization.

Decomposition and Denoising for moment sequences using convex optimization

This document summarizes research on using convex optimization techniques like atomic norm minimization to solve problems involving decomposing signals into sparse representations using atoms from predefined dictionaries. It discusses how atomic norm regularization provides a unified framework for problems like sparse recovery, low-rank matrix recovery, and line spectral estimation. It presents theoretical guarantees on exact recovery and convergence rates for atomic norm denoising and shows how to implement it using alternating direction methods and semidefinite programming. Experimental results demonstrate state-of-the-art performance of atomic norm techniques on line spectral estimation tasks.

Bayesian adaptive optimal estimation using a sieve prior

This document presents results on Bayesian optimal adaptive estimation using a sieve prior. It derives posterior concentration rates and risk convergence rates for models that accommodate a sieve prior. For the Gaussian white noise model, it shows the rates are adaptive optimal under global loss but a lower bound on the rate is obtained under pointwise loss, indicating the sieve prior is not optimal. Further work on posterior concentration rates under pointwise loss is suggested.

Basics Nuclear Physics concepts

The document provides an introduction to basic concepts in nuclear physics, including:
- Binding energy and the liquid drop model, which describes the saturation of nuclear forces.
- Nuclear dimensions and the different energy scales involved.
- The Fermi gas model, which treats nuclei as two fermion gases and can provide constants for binding energy formulas.
- The shell model, which incorporates a mean field potential and spin-orbit potential to reproduce shell structure in nuclei.
- Isospin, which treats protons and neutrons as states of a single particle to explain similarities in their behavior.

NANO266 - Lecture 4 - Introduction to DFTUCSD NANO 266 Quantum Mechanical Modelling of Materials and Nanostructures is a graduate class that provides students with a highly practical introduction to the application of first principles quantum mechanical simulations to model, understand and predict the properties of materials and nano-structures. The syllabus includes: a brief introduction to quantum mechanics and the Hartree-Fock and density functional theory (DFT) formulations; practical simulation considerations such as convergence, selection of the appropriate functional and parameters; interpretation of the results from simulations, including the limits of accuracy of each method. Several lab sessions provide students with hands-on experience in the conduct of simulations. A key aspect of the course is in the use of programming to facilitate calculations and analysis.

Real Time Spectroscopy

In this talk I will present real-time spectroscopy and different code to perform this kind of calculations.
This presentation can be download here:
http://www.attaccalite.com/wp-content/uploads/2022/03/RealTime_Lausanne_2022.odp

The gw method in quantum chemistry

Slides to the presentation 'The gw method in quantum chemistry' given at the quantum chemistry in Belgium conference January 30 2018 Brussels

NANO266 - Lecture 3 - Beyond the Hartree-Fock ApproximationUCSD NANO 266 Quantum Mechanical Modelling of Materials and Nanostructures is a graduate class that provides students with a highly practical introduction to the application of first principles quantum mechanical simulations to model, understand and predict the properties of materials and nano-structures. The syllabus includes: a brief introduction to quantum mechanics and the Hartree-Fock and density functional theory (DFT) formulations; practical simulation considerations such as convergence, selection of the appropriate functional and parameters; interpretation of the results from simulations, including the limits of accuracy of each method. Several lab sessions provide students with hands-on experience in the conduct of simulations. A key aspect of the course is in the use of programming to facilitate calculations and analysis.

Dynamic magnification factor-A Re-evaluation

This report is a re-evaluation on DMF as derived in conventional books and as we have used to derive. The report shows in details about the changes in values obtained.

Neutral Electronic Excitations: a Many-body approach to the optical absorptio...

Neutral Electronic Excitations: a Many-body approach to the optical absorption spectra.
Introduction to Bethe-Salpeter equation and linear response theory.

Detection of unknown signal

This document discusses energy detection of unknown signals in fading environments. It proposes modeling the received signal power distribution under combined slow and fast fading. This allows deriving the distribution of the detector's decision variable in closed form. Specifically:
1) It models the received signal as the sum of the signal and noise, scaled by a complex channel amplitude representing fast and slow fading.
2) It derives an expression for the sufficient statistic at the detector's output and simplifies it under assumptions of high sample numbers and independent samples.
3) It expresses the distribution of the decision variable as an integral of the distribution for a fixed SNR, averaged over the SNR distribution due to fading.
4) It provides the specific

Approximations in DFT

In this talk I will discuss different approximations in DFT: pseduo-potentials, exchange correlation functions.
The presentation can be downloaded here:
http://www.attaccalite.com/wp-content/uploads/2022/03/dft_approximations.odp

[KHBM] Application of network analysis based on cortical thickness to obsessi...

This was presented at The Biannual Meeting of Korean Society of Human Brain Mapping (KHBM), Seoul, Korea (Nov 2011). It was selected for the Excellent Oral Award.

Non-interacting and interacting Graphene in a strong uniform magnetic field

We study monolayer graphene in a uniform magnetic field in the absence and presence of interactions. In the non-interacting limit for p/q flux quanta per unit cell, the central two bands have 2q Dirac points in the Brillouin zone in the nearest-neighbor model. These touchings and their locations are guaranteed by chiral symmetry and the lattice symmetries of the honeycomb structure. If we add a staggered potential and a next nearest neighbor hopping we find their competition leads to a topological phase transition. We also study the stability of the Dirac touchings to one-body perturbations that explicitly lowers the symmetry.
In the interacting case, we study the phases in the strong magnetic field limit. We consider on-site Hubbard and nearest-neighbor Heisenberg interactions. In the continuum limit, the theory has been studied before [1]. It has been found that there are four competing phases namely, ferromagnetic, antiferromagnetic, charge density wave, and Kekulé distorted phases. We find phase diagrams for q=3,4,5,6,9,12 where some of the phases found in the continuum limit are co-existent in the lattice limit with some phases not present in the continuum limit.
[1] M. Kharitonov PRB 85, 155439 (2012)
*NSF DMR-1306897
NSF DMR-1611161
US-Israel BSF 2016130

MARM_chiral

The document describes a protocol for using theoretical calculations and UV-visible circular dichroism (CD) spectroscopy to assign the absolute configuration of chiral molecules. Quantum chemical calculations are used to optimize molecular geometries, calculate electronic transitions, and predict CD spectra. Multiple conformations are considered. The predicted CD spectra are compared to experimental spectra to assign absolute configuration. The method provides a reliable way to assign configuration without destructive experiments and can complement other physical methods.

Complex Dynamics and Statistics in Hamiltonian 1-D Lattices - Tassos Bountis

Complex Dynamics and Statistics in Hamiltonian 1-D Lattices - Tassos Bountis Lake Como School of Advanced Studies

This document provides an outline for a lecture on complex dynamics in Hamiltonian systems. Some key points:
1) Simple periodic orbits called nonlinear normal modes exist and can destabilize, leading to weak or strong chaos depending on their properties.
2) Dynamical indicators like Lyapunov exponents and the Generalized Alignment Index (GALI) can identify regions of order and chaos. The Lyapunov spectrum indicates when orbits explore the same chaotic region.
3) GALI rapidly detects chaos as deviation vectors become aligned, and identifies quasiperiodic motion by vectors remaining independent. It distinguishes weak and strong chaos based on exponential decay rates.Quantum chaos of generic systems - Marko Robnik

This document summarizes research on quantum chaos, including the principle of uniform semiclassical condensation of Wigner functions, spectral statistics in mixed systems, and dynamical localization of chaotic eigenstates. It discusses how in the semiclassical limit, Wigner functions condense uniformly on classical invariant components. For mixed systems, the spectrum can be seen as a superposition of regular and chaotic level sequences. Localization effects can be observed if the Heisenberg time is shorter than the classical diffusion time. The document presents an analytical formula called BRB that describes the transition between Poisson and random matrix statistics. An example is given of applying this to analyze the level spacing distribution for a billiard system.

Non-linear optics by means of dynamical Berry phase

This document discusses nonlinear optics and the dynamical Berry phase. It introduces nonlinear optics and summarizes early experiments. It then discusses how the Berry phase is related to nonlinear optical effects like second harmonic generation (SHG). Computational methods are presented for calculating SHG and other nonlinear optical properties from first principles using time-dependent density functional theory and the dynamical Berry phase. Examples of applying these methods to study SHG in semiconductors are provided.

Semi-empirical Monte Carlo optical-gain modelling of Nuclear Imaging scintill...

The document describes a semi-empirical Monte Carlo model to estimate the optical gain (DOG) of single crystal scintillators excited by gamma rays. The model divides the crystal into layers, uses EGSnrc to simulate gamma ray absorption, and combines this with an analytical model of optical photon propagation between layers. The model is validated against experimental data for LSO:Ce, GSO:Ce and YAP:Ce crystals at 140keV and 364keV. Results show the model can predict DOG values and determine an optimum crystal thickness for different gamma ray energies.

Alexei Starobinsky - Inflation: the present status

This document summarizes a presentation on inflation and the present status of inflationary cosmology. It discusses the key epochs in the early universe, including inflation, and how inflation solved issues with prior models. Observational evidence for inflation is presented, including measurements of the primordial power spectrum and constraints on the tensor-to-scalar ratio. Simple single-field inflation models are shown to match observations. The document also discusses the generation of primordial perturbations from quantum fluctuations during inflation and how this provides the seeds for structure formation.

1 s2.0-s0022460 x00931079-main

This document describes a new rotor balancing method that uses an optimization technique called genetic algorithm to calculate correction masses without requiring test runs. It introduces the new method and compares it to the traditional influence coefficient method. The new method calculates theoretical unbalance responses and measures original unbalance vibrations to optimize the correction masses using genetic algorithm in order to minimize residual vibrations at selected speeds and locations. Both simulation and experimental results show the new method can effectively reduce residual vibrations.

Serie de dyson

This document reviews research on the convergence of perturbation series in quantum field theory. It discusses Dyson's argument that perturbation series in quantum electrodynamics (QED) have zero radius of convergence due to vacuum instability when the coupling constant is negative. Large-order estimates show that perturbation series coefficients grow factorially fast in quantum mechanics and field theories. Finally, it describes the method of Borel summation, which may allow extracting the exact physical quantity from a divergent perturbation series through a unique mapping.

Phase-field modeling of crystal nucleation I: Fundamentals and methods

This document summarizes phase-field modeling of homogeneous crystal nucleation using two main methods. The first method adds fluctuations (noise) to the phase-field equations of motion to mimic natural nucleation. The noise amplitude is determined by the fluctuation-dissipation theorem. This models nucleation without assuming a sharp interface or bulk properties. The second method places supercritical crystal seeds randomly in space and time to model nucleation. Quantitative results from both methods are difficult to obtain due to limitations of classical nucleation theory. The document outlines the phase-field model and equations used to simulate homogeneous nucleation and crystal growth in 2D with and without noise to demonstrate convergence with spatial and temporal discretization.

Decomposition and Denoising for moment sequences using convex optimization

This document summarizes research on using convex optimization techniques like atomic norm minimization to solve problems involving decomposing signals into sparse representations using atoms from predefined dictionaries. It discusses how atomic norm regularization provides a unified framework for problems like sparse recovery, low-rank matrix recovery, and line spectral estimation. It presents theoretical guarantees on exact recovery and convergence rates for atomic norm denoising and shows how to implement it using alternating direction methods and semidefinite programming. Experimental results demonstrate state-of-the-art performance of atomic norm techniques on line spectral estimation tasks.

NANO266 - Lecture 4 - Introduction to DFT

NANO266 - Lecture 4 - Introduction to DFT

Real Time Spectroscopy

Real Time Spectroscopy

The gw method in quantum chemistry

The gw method in quantum chemistry

NANO266 - Lecture 3 - Beyond the Hartree-Fock Approximation

NANO266 - Lecture 3 - Beyond the Hartree-Fock Approximation

Dynamic magnification factor-A Re-evaluation

Dynamic magnification factor-A Re-evaluation

Neutral Electronic Excitations: a Many-body approach to the optical absorptio...

Neutral Electronic Excitations: a Many-body approach to the optical absorptio...

Detection of unknown signal

Detection of unknown signal

Approximations in DFT

Approximations in DFT

[KHBM] Application of network analysis based on cortical thickness to obsessi...

[KHBM] Application of network analysis based on cortical thickness to obsessi...

Non-interacting and interacting Graphene in a strong uniform magnetic field

Non-interacting and interacting Graphene in a strong uniform magnetic field

MARM_chiral

MARM_chiral

Complex Dynamics and Statistics in Hamiltonian 1-D Lattices - Tassos Bountis

Complex Dynamics and Statistics in Hamiltonian 1-D Lattices - Tassos Bountis

Quantum chaos of generic systems - Marko Robnik

Quantum chaos of generic systems - Marko Robnik

Non-linear optics by means of dynamical Berry phase

Non-linear optics by means of dynamical Berry phase

Semi-empirical Monte Carlo optical-gain modelling of Nuclear Imaging scintill...

Semi-empirical Monte Carlo optical-gain modelling of Nuclear Imaging scintill...

Alexei Starobinsky - Inflation: the present status

Alexei Starobinsky - Inflation: the present status

1 s2.0-s0022460 x00931079-main

1 s2.0-s0022460 x00931079-main

Serie de dyson

Serie de dyson

Phase-field modeling of crystal nucleation I: Fundamentals and methods

Phase-field modeling of crystal nucleation I: Fundamentals and methods

Decomposition and Denoising for moment sequences using convex optimization

Decomposition and Denoising for moment sequences using convex optimization

Bayesian adaptive optimal estimation using a sieve prior

This document presents results on Bayesian optimal adaptive estimation using a sieve prior. It derives posterior concentration rates and risk convergence rates for models that accommodate a sieve prior. For the Gaussian white noise model, it shows the rates are adaptive optimal under global loss but a lower bound on the rate is obtained under pointwise loss, indicating the sieve prior is not optimal. Further work on posterior concentration rates under pointwise loss is suggested.

Basics Nuclear Physics concepts

The document provides an introduction to basic concepts in nuclear physics, including:
- Binding energy and the liquid drop model, which describes the saturation of nuclear forces.
- Nuclear dimensions and the different energy scales involved.
- The Fermi gas model, which treats nuclei as two fermion gases and can provide constants for binding energy formulas.
- The shell model, which incorporates a mean field potential and spin-orbit potential to reproduce shell structure in nuclei.
- Isospin, which treats protons and neutrons as states of a single particle to explain similarities in their behavior.

Parity-Violating and Parity-Conserving Asymmetries in ep and eN Scattering in...

Invited workshop presentation at the Amherst Center for Fundamental Interactions at UMass Amherst. This presentation includes the official Qweak results and discussion of unofficial beam normal single spin asymmetries.

180Q_final

Experimental Measurement of Bell’s Inequality in Type I Spontaneous Parametric Downconversion
The document describes an experiment that:
1) Uses type I spontaneous parametric downconversion to generate polarization entangled photon pairs.
2) Measures the photon pairs using different polarizer angle configurations to test the CHSH version of Bell's inequality.
3) Finds a value of S=2.525±0.027, violating the CHSH inequality and contradicting local hidden variable theories.

ABC with Wasserstein distances

This document discusses using the Wasserstein distance for inference in generative models. It begins by introducing ABC methods that use a distance between samples to compare observed and simulated data. It then discusses using the Wasserstein distance as an alternative distance metric that has lower variance than the Euclidean distance. The document covers computational aspects of calculating the Wasserstein distance, asymptotic properties of minimum Wasserstein estimators, and applications to time series data.

JAISTサマースクール2016「脳を知るための理論」講義02 Synaptic Learning rules

This lecture discusses synaptic learning rules in neural networks. It introduces the basic anatomy and physiology of synapses and different coding schemes neurons use, such as rate coding and spike timing coding. It then covers several synaptic plasticity rules, including Hebbian learning, spike-timing dependent plasticity (STDP), and the Bienenstock-Cooper-Munro (BCM) rule. It also discusses modeling synapses using the conductance-based model and implementations of STDP learning through online learning rules and weight dependence mechanisms.

Introducing Zap Q-Learning

Reinforcement learning: hidden theory, and new super-fast algorithms
Lecture presented at the Center for Systems and Control (CSC@USC) and Ming Hsieh Institute for Electrical Engineering,
February 21, 2018
Stochastic Approximation algorithms are used to approximate solutions to fixed point equations that involve expectations of functions with respect to possibly unknown distributions. The most famous examples today are TD- and Q-learning algorithms. The first half of this lecture will provide an overview of stochastic approximation, with a focus on optimizing the rate of convergence. A new approach to optimize the rate of convergence leads to the new Zap Q-learning algorithm. Analysis suggests that its transient behavior is a close match to a deterministic Newton-Raphson implementation, and numerical experiments confirm super fast convergence.
Based on
@article{devmey17a,
Title = {Fastest Convergence for {Q-learning}},
Author = {Devraj, Adithya M. and Meyn, Sean P.},
Journal = {NIPS 2017 and ArXiv e-prints},
Year = 2017}

ABC based on Wasserstein distances

This document discusses using the Wasserstein distance for inference in generative models. It begins with an overview of approximate Bayesian computation (ABC) and how distances between samples are used. It then introduces the Wasserstein distance as an alternative distance that can have lower variance than the Euclidean distance. Computational aspects and asymptotics of using the Wasserstein distance are discussed. The document also covers how transport distances can handle time series data.

Bayesian modelling and computation for Raman spectroscopy

Raman spectroscopy can be used to identify molecules by the characteristic scattering of light from a laser. Each Raman-active dye label has a unique spectral signature, comprised by the locations and amplitudes of the peaks. The Raman spectrum is discretised into a multivariate observation that is highly collinear, hence it lends itself to a reduced-rank representation. We introduce a sequential Monte Carlo (SMC) algorithm to separate this signal into a series of peaks plus a smoothly-varying baseline, corrupted by additive white noise. By incorporating this representation into a Bayesian functional regression, we can quantify the relationship between dye concentration and peak intensity. We also estimate the model evidence using SMC to investigate long-range dependence between peaks. These methods have been implemented as an R package, using RcppEigen and OpenMP.

Relativistic theory of spin relaxation mechanisms in the Landau-Lifshitz equa...

The document summarizes a relativistic theory of spin relaxation mechanisms in the Landau-Lifshitz equations of spin dynamics. It presents a modified Dirac Hamiltonian approach that includes spin-orbit coupling terms arising from the electron's relativistic motion. This leads to new expressions for the intrinsic Gilbert damping parameter and magnetization dynamics that depend on the electron momentum and susceptibility tensor. It also describes how the theory preserves the conservation of total angular momentum, including the effects of exchange interactions.

DPPs everywhere: repulsive point processes for Monte Carlo integration, signa...

DPPs everywhere: repulsive point processes for Monte Carlo integration, signa...Advanced-Concepts-Team

Determinantal point processes (DPPs) are specific repulsive point processes, which were introduced in the 1970s by Macchi to model fermion beams in quantum optics. More recently, they have been studied as models and sampling tools by statisticians and machine learners. Important statistical quantities associated to DPPs have geometric and algebraic interpretations, which makes them a fun object to study and a powerful algorithmic building block.
After a quick introduction to determinantal point processes, I will discuss some of our recent statistical applications of DPPs. First, we used DPPs to sample nodes in numerical integration, resulting in Monte Carlo integration with fast convergence with respect to the number of integrand evaluations. Second, we used DPP machinery to characterize the distribution of the zeros of time-frequency transforms of white noise, a recent challenge in signal processing. Third, we turned DPPs into low-error variable selection procedures in linear regression.Birkhoff coordinates for the Toda Lattice in the limit of infinitely many par...

We study the Birkhoff coordinates (Cartesian action angle coordinates) of the Toda lattice with periodic boundary condition in the limit where the number N of the particles tends to infinity. We prove that the transformation introducing such coordinates maps analytically a complex ball of radius R/Nα (in discrete Sobolev-analytic norms) into a ball of radius R′/Nα (with R,R′>0 independent of N) if and only if α≥2. Then we consider the problem of equipartition of energy in the spirit of Fermi-Pasta-Ulam. We deduce that corresponding to initial data of size R/N2, 0<R≪1, and with only the first Fourier mode excited, the energy remains forever in a packet of Fourier modes exponentially decreasing with the wave number. Finally we consider the original FPU model and prove that energy remains localized in a similar packet of Fourier modes for times one order of magnitude longer than those covered by previous results which is the time of formation of the packet. The proof of the theorem on Birkhoff coordinates is based on a new quantitative version of a Vey type theorem by Kuksin and Perelman which could be interesting in itself.

Lecture 3 sapienza 2017

PROGRAMMA ATTIVITA’ DIDATTICA A.A. 2016/17
DOTTORATO DI RICERCA IN INGEGNERIA STRUTTURALE E GEOTECNICA
____________________________________________________________
STOCHASTIC DYNAMICS AND MONTE CARLO SIMULATION IN EARTHQUAKE ENGINEERING APPLICATIONS
Lecture Series by
Agathoklis Giaralis, Ph.D., M.ASCE., P.E. City, University of London
Visiting Professor Sapienza University of Rome

Inference in generative models using the Wasserstein distance [[INI]

Slides of my talk on this paper at the Isaac Newton Institute, Cambridge, during the scalable inference workshop, July 07

Dynamic response of structures with uncertain properties

The document discusses the dynamic response of structures with uncertain properties. It begins with an introduction discussing how stochasticity impacts dynamic response and efficient quantification of uncertainty. It then covers stochastic single degree of freedom and multiple degree of freedom damped systems. Equivalent damping factors are derived for single degree systems with random natural frequencies. The spectral function approach is also introduced for representing multiple degree of freedom stochastic systems in the frequency domain.

Robust Super-Resolution by minimizing a Gaussian-weighted L2 error norm

1. The document proposes a robust super-resolution algorithm that minimizes a Gaussian-weighted L2 error norm. This suppresses the influence of intensity outliers without requiring additional regularization.
2. The algorithm is based on maximum likelihood estimation but uses a Gaussian error norm instead of a quadratic norm. This makes the algorithm robust against outliers by reducing their influence to zero.
3. The effectiveness of the proposed algorithm is demonstrated on real infrared image sequences with severe aliasing and intensity outliers, where it outperforms other methods in handling outliers and noise.

report

This document summarizes Ryan Moodie's master's thesis on modeling the polarization behavior of photon Bose-Einstein condensates in a laser-pumped dye-filled microcavity. The model extends prior rate equation theory to include polarization by splitting photon modes into x- and y-polarized modes and introducing a molecular angular diffusion term. Numerical solutions predict multiple mode condensation and a transition from weakly to strongly polarized emission above pumping threshold. Some unusual behavior motivated further modeling, with the goal of better understanding polarization dynamics and potential hysteresis effects.

slides CIRM copulas, extremes and actuarial science

1) The document discusses probit transformation for nonparametric kernel estimation of copulas. It introduces a standard kernel estimator for copulas that is inconsistent on boundaries.
2) It then presents a "naive" probit transformation kernel copula density estimator that transforms data to standard normal using the probit function to address boundary issues.
3) It further improves upon this by introducing local log-linear and log-quadratic approximations for the transformed density, yielding two new estimators with better asymptotic properties.

Canonical analysis

This document provides an overview of canonical correlation analysis (CCA), a statistical technique used to analyze relationships between two sets of variables. CCA derives linear combinations (canonical variates) of the variables from each set that are maximally correlated. The document outlines the key components of CCA, including the fundamental equations, derivation of canonical variates and canonical correlations, interpretation of weights, loadings and cross-loadings, and assessment of the importance of canonical variates. Examples are provided to demonstrate how to apply and interpret CCA results.

Real-time electron dynamics: from non-linear response to pump and probe spect...

Real-time electron dynamics: from non-linear response to pump and probe spectroscopy

Bayesian adaptive optimal estimation using a sieve prior

Bayesian adaptive optimal estimation using a sieve prior

Basics Nuclear Physics concepts

Basics Nuclear Physics concepts

Parity-Violating and Parity-Conserving Asymmetries in ep and eN Scattering in...

Parity-Violating and Parity-Conserving Asymmetries in ep and eN Scattering in...

180Q_final

180Q_final

ABC with Wasserstein distances

ABC with Wasserstein distances

JAISTサマースクール2016「脳を知るための理論」講義02 Synaptic Learning rules

JAISTサマースクール2016「脳を知るための理論」講義02 Synaptic Learning rules

Introducing Zap Q-Learning

Introducing Zap Q-Learning

ABC based on Wasserstein distances

ABC based on Wasserstein distances

Bayesian modelling and computation for Raman spectroscopy

Bayesian modelling and computation for Raman spectroscopy

Relativistic theory of spin relaxation mechanisms in the Landau-Lifshitz equa...

Relativistic theory of spin relaxation mechanisms in the Landau-Lifshitz equa...

DPPs everywhere: repulsive point processes for Monte Carlo integration, signa...

DPPs everywhere: repulsive point processes for Monte Carlo integration, signa...

Birkhoff coordinates for the Toda Lattice in the limit of infinitely many par...

Birkhoff coordinates for the Toda Lattice in the limit of infinitely many par...

Lecture 3 sapienza 2017

Lecture 3 sapienza 2017

Inference in generative models using the Wasserstein distance [[INI]

Inference in generative models using the Wasserstein distance [[INI]

Dynamic response of structures with uncertain properties

Dynamic response of structures with uncertain properties

Robust Super-Resolution by minimizing a Gaussian-weighted L2 error norm

Robust Super-Resolution by minimizing a Gaussian-weighted L2 error norm

report

report

slides CIRM copulas, extremes and actuarial science

slides CIRM copulas, extremes and actuarial science

Canonical analysis

Canonical analysis

Real-time electron dynamics: from non-linear response to pump and probe spect...

Real-time electron dynamics: from non-linear response to pump and probe spect...

Ancilla-error-transparent swap tests in circuit quantum electrodynamics

This document discusses using Kerr-cat qubits as ancillas for performing swap tests. Kerr-cat qubits are encoded in coherent states of light and are biased towards phase flip errors. The document proposes using a Kerr-cat qubit to implement a controlled-swap gate between two other qubits via a controlled-phase beam splitter interaction. This controlled-swap gate can then be used to perform a swap test between the two qubits while inheriting the Kerr-cat qubit's noise bias towards phase flips. Performing swap tests this way could make them more robust against errors and enable applications like quantum state tomography and phase estimation.

Gaussian control and readout of levitated nanoparticles via coherent scattering

Optically levitated nanoparticles present an attractive optomechanical platform owing to their lack of clamping losses. The most promising approach to control the state of nanoparticle motion is coherent scattering of tweezer photons into a cavity mode. Originally proposed as a technique for cooling the motion of atoms and ions, this mechanism has recently been used to cool the motion of a nanoparticle to its quantum ground state for the first time. In my presentation, I will discuss how coherent scattering can be used to create and measure complex motional states of levitated nanoparticles. Coherent scattering gives us access to the same basic types of interaction as the more usual radiation-pressure interaction (of the beam-splitter and two-mode-squeezing type) allowing the same protocols to be realized. An important distinction—relevant particularly for quantum nondemolition readout of nanoparticle motion—is that coherent scattering can be accompanied by additional effects modifying the free nanoparticle evolution. I will discuss these differences and address the consequences they have for controlling and measuring nanoparticle motion in the quantum regime.

Microwave entanglement created using swap tests with biased noise

Poster presented at the 737th WE Heraeus Seminar Advances in Scalable Hardware Platforms for Quantum Computing

Controlling the motion of levitated particles by coherent scattering

Coherent scattering allows for versatile optomechanical interactions that can be used to control the motion of levitated particles. A modulated trapping beam can generate strong mechanical squeezing in both the transient and steady-state regimes. Coherent scattering also enables interactions between multiple levitated particles and is a powerful tool for levitated optomechanics applications such as force sensing and full control of particle motion.

Hybrid quantum systems

In this tutorial, I will give an overview of hybrid quantum systems and their applications in quantum technologies. I will start by reviewing their individual components, focusing primarily on the theory of superconducting circuits, cavity optomechanics, and electromechanics. Afterwards, I will discuss a few applications of hybrid systems composed of these components. In particular, I will explain how opto-electro-mechanical systems can be used to achieve frequency conversion between microwaves and light and how electromechanical systems can be used to couple mechanical motion to superconducting quantum bits.

Measurement-induced long-distance entanglement with optomechanical transducers

Although superconducting systems provide a promising platform for quantum computing, their networking poses a challenge as they cannot be interfaced to light---the medium used to send quantum signals through channels at room temperature. We show that mechanical oscillators can mediated such coupling and light can be used to measure the joint state of two distant qubits. The measurement provides information on the total spin of the two qubits such that entangled qubit states can be postselected. Entanglement generation is possible without ground-state cooling of the mechanical oscillators for systems with optomechanical cooperativity moderately larger than unity; in addition, our setup tolerates a substantial transmission loss. The approach is scalable to generation of multipartite entanglement and represents a crucial step towards quantum networks with superconducting circuits.

Quantum force sensing with optomechanical transducers

Optomechanical force sensing is an established measurement technique that can reach remarkable precision. In most applications, the system exerting the force on the mechanical oscillator is treated classically and we are not interested in any coherence between states of the system that give rise to different forces. A full quantum treatment, however, enables richer physics since measuring more such systems can lead to interference effects.
In this talk, I will show that the coherence can survive the measurement and can be used for quantum-technological applications. I will consider a model example of spin readout in superconducting qubits. Coupling two transmon qubits to mechanical oscillators and reading out the mechanical positions using a single beam of light provides information on the total spin of the qubits. It is thus possible to conditionally generate entanglement between the two qubits. The system represents a basic quantum network with superconducting circuits. The scheme has modest requirements on the system parameters; it does not require ground-state cooling or resolved-sideband regime and can work with quantum cooperativity moderately larger than unity.
Afterwards, I will consider another scheme, namely nondestructive detection of a single photon using an optomechanical transducer. The basic idea is similar to spin readout; the photon exerts a force on a mechanical oscillator and the the force is measured optically. I will argue that such a measurement is subject to a quantum limit due to backaction of the transducer on the dynamics of the photon and that this result also applies to other techniques of nondestructive photon detection, such as methods using Kerr interaction between the single photon and a meter beam. Finally, I will show numerically that measurement backaction can be evaded when the measurement rate is suitably modulated.

Quantum networks with superconducting circuits and optomechanical transducers

Connecting distant chips in a quantum network is one of biggest challenges for superconducting quantum computers. Superconducting systems operate at microwave frequencies; transmission of microwave signals through room-temperature quantum channels is impossible due to the omnipresent thermal noise. I will show how two well-known experimental techniques—parity measurements on superconducting systems and optomechanical force sensing—can be combined to generate entanglement between two superconducting qubits through a room-temperature environment. An optomechanical transducer acting as a force sensor can be used to determine the state of a superconducting qubit. A joint readout of two qubits and postselection can lead to entanglement between the qubits. From a conceptual perspective, the transducer senses force exerted by a quantum object, entering a new paradigm in force sensing. In a typical scenario, the force sensed by an optomechanical system is classical. I will argue that the coherence between different states of the qubit (which give rise to different values of the force) can be preserved during the measurement, making it an important resource for quantum communication.

Novel approaches to optomechanical transduction

Optomechanical systems offer a promising route towards frequency conversion between microwaves and light. Current theoretical and experimental efforts focus on approaches based on either optomechanically induced transparency (suffering from limited conversion bandwidth) or adiabatic passage (requiring time-dependent control). In my talk, I will present two alternative strategies for optomechanical transduction that avoid these limitations. In the first one, entanglement between two superconducting qubits is generated by using transducers as force sensors; jointly measuring the force with which the qubits act on the transducers leads to conditional generation of entanglement between the qubits. The other device uses spatially adiabatic frequency conversion in an array of optomechanical transducers, allowing for large conversion bandwidth with time-independent control.

Improved optomechanical interactions for quantum technologies

Cavity optomechanics reached remarkable success in coupling optical and mechanical degrees of freedom. The standard mechanism relies on dispersive interaction wherein a cavity mode acquires a frequency shift proportional to the mechanical displacement. Efficient coupling is, however, often impeded by large cavity decay rates or strong heating of the mechanical element by optical absorption. In this talk, I will present two strategies to circumvent this problem. In the first one, a membrane doped with an ensemble of two-level emitters or patterned with a photonic-crystal structure is used as a mechanical element. The hybridization of the cavity mode with the membrane’s internal resonance leads to a modified response, resulting in an effective narrow cavity linewidth. I will show how such systems can be described quantum mechanically and discuss how optomechanical sideband cooling can be improved by the presence of the internal resonance. Second, I will discuss optomechanics with levitated particles and show how coherent scattering can be used to generate strong mechanical squeezing. In this system, the standard dispersive interaction is replaced by scattering of the trapping beam into an empty cavity mode. This process can result in strong, controllable coupling between the cavity mode and the motion of the particle with minimal absorption heating. I will also briefly outline how this type of interaction can be used to engineer coupling between different center-of-mass modes of the particle allowing, in principle, full optomechanical control of the particle motion.

Improved optomechanical interactions for quantum technologies

Cavity optomechanics reached remarkable success in coupling optical and mechanical degrees of freedom. The standard mechanism relies on dispersive interaction wherein a cavity mode acquires a frequency shift proportional to the mechanical displacement. Efficient coupling is, however, often impeded by large cavity decay rates or strong heating of the mechanical element by optical absorption. In this talk, I will present two strategies to circumvent this problem. In the first one, a membrane doped with an ensemble of two-level emitters or patterned with a photonic-crystal structure is used as a mechanical element. The hybridization of the cavity mode with the membrane’s internal resonance leads to a modified response, resulting in an effective narrow cavity linewidth. I will show how such systems can be described quantum mechanically and discuss how optomechanical sideband cooling can be improved by the presence of the internal resonance. Second, I will discuss optomechanics with levitated particles and show how coherent scattering can be used to generate strong mechanical squeezing. In this system, the standard dispersive interaction is replaced by scattering of the trapping beam into an empty cavity mode. This process can result in strong, controllable coupling between the cavity mode and the motion of the particle with minimal absorption heating. I will also briefly outline how this type of interaction can be used to engineer coupling between different center-of-mass modes of the particle allowing, in principle, full optomechanical control of the particle motion.

Entangling distant superconducting qubits using nanomechanical transducers

Optical fields are ideal for transmission of quantum information due to low losses and high repetition rates. Microwave fields, on the other hand, can be used to manipulate superconducting systems that belong among the most promising candidates for quantum computing architecture. A device enabling conversion between electromagnetic fields of such distinct frequencies would thus represent a basic building block of future quantum computer networks. Nanomechanical oscillators represent an extremely suitable platform for this task as they can couple to both optical and microwave fields. The electromechanical interaction is achieved through capacitance of an LC circuit, where the change of voltage couples to the position of a mechanical membrane forming one plate of the capacitor, while coupling to the visible light is due to radiation pressure from light reflected off the membrane.
Here we study how such nanomechanical transducers can be employed to generate entanglement between two superconducting qubits placed on two separate chips. Our protocol is based on continuous Bell measurement of the outgoing light fields and applying feedback on the qubits. With such a setup, it is, in principle, possible to generate entanglement between qubits deterministically in the steady state.

Measurement-induced long-distance entanglement of superconducting qubits usin...

Although superconducting systems provide a promising platform for quantum computing, their networking poses a challenge as they cannot be interfaced to light---the medium used to send quantum signals through channels at room temperature. We show that mechanical oscillators can mediated such coupling and light can be used to measure the joint state of two distant qubits. The measurement provides information on the total spin of the two qubits such that entangled qubit states can be postselected. Entanglement generation is possible without ground-state cooling of the mechanical oscillators for systems with optomechanical cooperativity moderately larger than unity; in addition, our setup tolerates a substantial transmission loss. The approach is scalable to generation of multipartite entanglement and represents a crucial step towards quantum networks with superconducting circuits.

Measurement-induced long-distance entanglement of superconducting qubits usin...

Although superconducting systems provide a promising platform for quantum computing, their networking poses a challenge as they cannot be interfaced to light---the medium used to send quantum signals through channels at room temperature. We show that mechanical oscillators can mediated such coupling and light can be used to measure the joint state of two distant qubits. The measurement provides information on the total spin of the two qubits such that entangled qubit states can be postselected. Entanglement generation is possible without ground-state cooling of the mechanical oscillators for systems with optomechanical cooperativity moderately larger than unity; in addition, our setup tolerates a substantial transmission loss. The approach is scalable to generation of multipartite entanglement and represents a crucial step towards quantum networks with superconducting circuits.

Measurement-induced long-distance entanglement of superconducting qubits usin...Although superconducting systems provide a promising platform for quantum computing, their networking poses a challenge as they cannot be interfaced to light---the medium used to send quantum signals through channels at room temperature. We show that mechanical oscillators can mediated such coupling and light can be used to measure the joint state of two distant qubits. The measurement provides information on the total spin of the two qubits such that entangled qubit states can be postselected. Entanglement generation is possible without ground-state cooling of the mechanical oscillators for systems with optomechanical cooperativity moderately larger than unity; in addition, our setup tolerates a substantial transmission loss. The approach is scalable to generation of multipartite entanglement and represents a crucial step towards quantum networks with superconducting circuits.

Measurement-induced long-distance entanglement of superconducting qubits usin...

1. The document proposes using optomechanical transducers to entangle superconducting qubits over long distances.
2. An optomechanical transducer can act as a force sensor to measure superconducting qubits coupled to a mechanical oscillator.
3. The mechanical oscillator is modeled using a conditional master equation and can be adiabatically eliminated to obtain an effective equation describing the qubits.

Novel approaches to optomechanical transduction

In recent years, mechanical oscillators received attention as a promising tool for frequency conversion between microwaves and light. A general, bi-directional transducer with high efficiency is still far from reach of current technology; finding new strategies for optomechanical transduction allows us to relax the requirements and bring these systems closer to an experimental realization. An interesting example is generation of entanglement between two superconducting qubits using measurement and postselection. Here, the mechanical oscillators interacts directly with the superconducting transmon qubit in such a way that it feels a qubit-state dependent force. This force can then be read out using a cavity field; reading out two such systems sequentially realizes an effective total spin measurement. Starting from a suitable initial state and employing postselection, entanglement can be generated. Another interesting approach is to use an array of optomechanical transducers in which the output fields of one transducer are fed into the input of the next. The periodicity of the array results in a joint dispersion relation for the propagating microwave and optical fields. The resulting structure can be used to control the conversion bandwidth and forward and backward scattering.

Interference effects in cavity optomechanics with hybridized membranes

1) The document discusses interference effects in cavity optomechanics systems with hybridized membranes. It describes how adding two-level systems or gratings to membranes can lead to Fano resonances in the cavity spectrum.
2) A Fano resonance suppresses Stokes scattering and improves cooling of the membrane. Many physical systems could exhibit these interference effects, including photonic crystal membranes, atom arrays, and excitons in semiconductors.
3) Functionalized membranes have applications in cavity optomechanics and cavity QED such as improved cooling and serving as an end mirror with strong coupling.

Displacement-enhanced continuous-variable entanglement concentration

We study entanglement concentration of continuous variable Gaussian states by local photon subtractions enhanced by coherent displacements. Instead of the previously considered symmetric two-mode squeezed vacuum states, we investigate the protocol for input states in the form of split single-mode squeezed vacuum, i.e., states obtained by mixing a single-mode squeezed vacuum with a vacuum state on a beam splitter, which is an experimentally highly relevant configuration. We analyze two scenarios in which the displacement-enhanced photon subtraction is performed either only on one, or on both of the modes and show that local displacements can lead to improved performance of the concentration protocol.

Spatially adiabatic frequency conversion in opto-electro-mechanical arrays

Optoelectromechanical systems offer a promising route towards frequency conversion between microwaves and light and towards building quantum networks of superconducting circuits. Current theoretical and experimental efforts focus on approaches based on either optomechanically induced transparency or adiabatic passage. The former has the advantage of working with time-independent control but only in a limited bandwidth (typically much smaller than the cavity linewidth); the latter can, in principle, be used to increase the bandwidth but at the expense of working with time-dependent control fields and with strong optomechanical coupling. In my presentation, I will show that an array of optoelectromechanical transducers can overcome this limitation and reach a bandwidth that is larger than the cavity linewidth. The coupling rates are varied in space throughout the array so that a mechanically dark mode of the propagating fields adiabatically changes from microwave to optical or vice versa. This strategy also leads to significantly reduced thermal noise with the collective optomechanical cooperativity being the relevant figure of merit. I will also demonstrate that, remarkably, the bandwidth enhancement per transducer element is largest for small arrays. With these features the scheme is particularly relevant for improving the conversion bandwidth in state-of-the-art experimental setups.

Ancilla-error-transparent swap tests in circuit quantum electrodynamics

Ancilla-error-transparent swap tests in circuit quantum electrodynamics

Gaussian control and readout of levitated nanoparticles via coherent scattering

Gaussian control and readout of levitated nanoparticles via coherent scattering

Microwave entanglement created using swap tests with biased noise

Microwave entanglement created using swap tests with biased noise

Controlling the motion of levitated particles by coherent scattering

Controlling the motion of levitated particles by coherent scattering

Hybrid quantum systems

Hybrid quantum systems

Measurement-induced long-distance entanglement with optomechanical transducers

Measurement-induced long-distance entanglement with optomechanical transducers

Quantum force sensing with optomechanical transducers

Quantum force sensing with optomechanical transducers

Quantum networks with superconducting circuits and optomechanical transducers

Quantum networks with superconducting circuits and optomechanical transducers

Novel approaches to optomechanical transduction

Novel approaches to optomechanical transduction

Improved optomechanical interactions for quantum technologies

Improved optomechanical interactions for quantum technologies

Improved optomechanical interactions for quantum technologies

Improved optomechanical interactions for quantum technologies

Entangling distant superconducting qubits using nanomechanical transducers

Entangling distant superconducting qubits using nanomechanical transducers

Measurement-induced long-distance entanglement of superconducting qubits usin...

Measurement-induced long-distance entanglement of superconducting qubits usin...

Measurement-induced long-distance entanglement of superconducting qubits usin...

Measurement-induced long-distance entanglement of superconducting qubits usin...

Measurement-induced long-distance entanglement of superconducting qubits usin...

Measurement-induced long-distance entanglement of superconducting qubits usin...

Measurement-induced long-distance entanglement of superconducting qubits usin...

Novel approaches to optomechanical transduction

Novel approaches to optomechanical transduction

Interference effects in cavity optomechanics with hybridized membranes

Interference effects in cavity optomechanics with hybridized membranes

Displacement-enhanced continuous-variable entanglement concentration

Displacement-enhanced continuous-variable entanglement concentration

Spatially adiabatic frequency conversion in opto-electro-mechanical arrays

Spatially adiabatic frequency conversion in opto-electro-mechanical arrays

How to Make a Field Mandatory in Odoo 17

In Odoo, making a field required can be done through both Python code and XML views. When you set the required attribute to True in Python code, it makes the field required across all views where it's used. Conversely, when you set the required attribute in XML views, it makes the field required only in the context of that particular view.

HYPERTENSION - SLIDE SHARE PRESENTATION.

IT WILL BE HELPFULL FOR THE NUSING STUDENTS
IT FOCUSED ON MEDICAL MANAGEMENT AND NURSING MANAGEMENT.
HIGHLIGHTS ON HEALTH EDUCATION.

Walmart Business+ and Spark Good for Nonprofits.pdf

"Learn about all the ways Walmart supports nonprofit organizations.
You will hear from Liz Willett, the Head of Nonprofits, and hear about what Walmart is doing to help nonprofits, including Walmart Business and Spark Good. Walmart Business+ is a new offer for nonprofits that offers discounts and also streamlines nonprofits order and expense tracking, saving time and money.
The webinar may also give some examples on how nonprofits can best leverage Walmart Business+.
The event will cover the following::
Walmart Business + (https://business.walmart.com/plus) is a new shopping experience for nonprofits, schools, and local business customers that connects an exclusive online shopping experience to stores. Benefits include free delivery and shipping, a 'Spend Analytics” feature, special discounts, deals and tax-exempt shopping.
Special TechSoup offer for a free 180 days membership, and up to $150 in discounts on eligible orders.
Spark Good (walmart.com/sparkgood) is a charitable platform that enables nonprofits to receive donations directly from customers and associates.
Answers about how you can do more with Walmart!"

ISO/IEC 27001, ISO/IEC 42001, and GDPR: Best Practices for Implementation and...

Denis is a dynamic and results-driven Chief Information Officer (CIO) with a distinguished career spanning information systems analysis and technical project management. With a proven track record of spearheading the design and delivery of cutting-edge Information Management solutions, he has consistently elevated business operations, streamlined reporting functions, and maximized process efficiency.
Certified as an ISO/IEC 27001: Information Security Management Systems (ISMS) Lead Implementer, Data Protection Officer, and Cyber Risks Analyst, Denis brings a heightened focus on data security, privacy, and cyber resilience to every endeavor.
His expertise extends across a diverse spectrum of reporting, database, and web development applications, underpinned by an exceptional grasp of data storage and virtualization technologies. His proficiency in application testing, database administration, and data cleansing ensures seamless execution of complex projects.
What sets Denis apart is his comprehensive understanding of Business and Systems Analysis technologies, honed through involvement in all phases of the Software Development Lifecycle (SDLC). From meticulous requirements gathering to precise analysis, innovative design, rigorous development, thorough testing, and successful implementation, he has consistently delivered exceptional results.
Throughout his career, he has taken on multifaceted roles, from leading technical project management teams to owning solutions that drive operational excellence. His conscientious and proactive approach is unwavering, whether he is working independently or collaboratively within a team. His ability to connect with colleagues on a personal level underscores his commitment to fostering a harmonious and productive workplace environment.
Date: May 29, 2024
Tags: Information Security, ISO/IEC 27001, ISO/IEC 42001, Artificial Intelligence, GDPR
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C1 Rubenstein AP HuG xxxxxxxxxxxxxx.pptx

C1 Rubenstein

Wound healing PPT

This document provides an overview of wound healing, its functions, stages, mechanisms, factors affecting it, and complications.
A wound is a break in the integrity of the skin or tissues, which may be associated with disruption of the structure and function.
Healing is the body’s response to injury in an attempt to restore normal structure and functions.
Healing can occur in two ways: Regeneration and Repair
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Introduction to objective, scope and outcome the subject
Chapter 2
Introduction: Scope and Specialization of Civil Engineering, Role of civil Engineer in Society, Impact of infrastructural development on economy of country.
Chapter 3
Surveying: Object Principles & Types of Surveying; Site Plans, Plans & Maps; Scales & Unit of different Measurements.
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Chapter 6
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Water Pollution: Water Quality standards, Introduction to Treatment & Disposal of Waste Water. Reuse and Saving of Water, Rain Water Harvesting. Solid Waste Management: Classification of Solid Waste, Collection, Transportation and Disposal of Solid. Recycling of Solid Waste: Energy Recovery, Sanitary Landfill, On-Site Sanitation. Air & Noise Pollution: Primary and Secondary air pollutants, Harmful effects of Air Pollution, Control of Air Pollution. . Noise Pollution Harmful Effects of noise pollution, control of noise pollution, Global warming & Climate Change, Ozone depletion, Greenhouse effect
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1. Palancharmy, Basic Civil Engineering, McGraw Hill publishers.
2. Satheesh Gopi, Basic Civil Engineering, Pearson Publishers.
3. Ketki Rangwala Dalal, Essentials of Civil Engineering, Charotar Publishing House.
4. BCP, Surveying volume 1

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Event Link:- https://meetups.mulesoft.com/events/details/mulesoft-mysore-presents-mule-event-processing-models/
Agenda
● What is event processing in MuleSoft?
● Types of event processing models in Mule 4
● Distinction between the reactive, parallel, blocking & non-blocking processing
For Upcoming Meetups Join Mysore Meetup Group - https://meetups.mulesoft.com/mysore/YouTube:- youtube.com/@mulesoftmysore
Mysore WhatsApp group:- https://chat.whatsapp.com/EhqtHtCC75vCAX7gaO842N
Speaker:-
Shivani Yasaswi - https://www.linkedin.com/in/shivaniyasaswi/
Organizers:-
Shubham Chaurasia - https://www.linkedin.com/in/shubhamchaurasia1/
Giridhar Meka - https://www.linkedin.com/in/giridharmeka
Priya Shaw - https://www.linkedin.com/in/priya-shaw

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'Land uses,' which are determined by both human activities and the physical characteristics of the
land.
The utilization of land is impacted by human needs and environmental factors. In countries
like India, rapid population growth and the emphasis on extensive resource exploitation can lead
to significant land degradation, adversely affecting the region's land cover.
Therefore, human intervention has significantly influenced land use patterns over many
centuries, evolving its structure over time and space. In the present era, these changes have
accelerated due to factors such as agriculture and urbanization. Information regarding land use and
cover is essential for various planning and management tasks related to the Earth's surface,
providing crucial environmental data for scientific, resource management, policy purposes, and
diverse human activities.
Accurate understanding of land use and cover is imperative for the development planning
of any area. Consequently, a wide range of professionals, including earth system scientists, land
and water managers, and urban planners, are interested in obtaining data on land use and cover
changes, conversion trends, and other related patterns. The spatial dimensions of land use and
cover support policymakers and scientists in making well-informed decisions, as alterations in
these patterns indicate shifts in economic and social conditions. Monitoring such changes with the
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- 1. Motivation Entanglement concentration Gaussian symmetrization Conclusions Transformations of Continuous-Variable Entangled States of Light Ondˇrej ˇCernot´ık Department of Optics, Palack´y University Olomouc, Czech Republic Niels Bohr Institute, July 2013
- 2. Motivation Entanglement concentration Gaussian symmetrization Conclusions Outline 1 Motivation 2 Enhancing entanglement concentration by coherent displacements 3 Symmetrization of multipartite states by local Gaussian operations 4 Conclusions
- 3. Motivation Entanglement concentration Gaussian symmetrization Conclusions Outline 1 Motivation 2 Enhancing entanglement concentration by coherent displacements 3 Symmetrization of multipartite states by local Gaussian operations 4 Conclusions
- 4. Motivation Entanglement concentration Gaussian symmetrization Conclusions Gaussian States Wigner Function W (x) = 1 2π √ det γ exp − 1 2 (x − ¯x)T γ−1 (x − ¯x) Mathematical description in phase space. Feasible using linear optics, squeezers and homodyne detection.1 1 S. L. Braunstein and P. van Loock, RMP 77, 513, C. Weedbrook et al., RMP 84, 621
- 5. Motivation Entanglement concentration Gaussian symmetrization Conclusions Quantum Entanglement Important resource in quantum information processing. Applications of Entanglement Quantum teleportation, Quantum key distribution, Quantum dense coding, One-way quantum computing, Quantum metrology,. . .
- 6. Motivation Entanglement concentration Gaussian symmetrization Conclusions Bipartite and Multipartite Entanglement Bipartite Entanglement Relatively easy identiﬁcation and quantiﬁcation.
- 7. Motivation Entanglement concentration Gaussian symmetrization Conclusions Bipartite and Multipartite Entanglement Bipartite Entanglement Relatively easy identiﬁcation and quantiﬁcation. Multipartite Entanglement Complexity grows with number of parties. (Tripartite Gaussian entanglement – 5 entanglement classesa). Problematic quantiﬁcation. Applications: one-way quantum computingb, quantum networksc. a G. Giedke et al., PRA 64, 052303 b N. C. Menicucci et al., PRL 97, 110501 c P. van Loock and S. L. Braunstein, PRL 84, 3482
- 8. Motivation Entanglement concentration Gaussian symmetrization Conclusions Outline 1 Motivation 2 Enhancing entanglement concentration by coherent displacements 3 Symmetrization of multipartite states by local Gaussian operations 4 Conclusions
- 9. Motivation Entanglement concentration Gaussian symmetrization Conclusions Why Entanglement Concentration? Distribution of entangled states is subject to losses and decoherence. State degradation can be probabilistically eliminated using local operations and classical communication.
- 10. Motivation Entanglement concentration Gaussian symmetrization Conclusions Entanglement Concentration and CV Systems Non-Gaussianity Required Gaussian states → non-Gaussian operations.a Non-Gaussian states → Gaussian operations.b a J. Eisert et al., PRL 89, 137903, J. Fiur´aˇsek, PRL 89, 137904 b R. Dong et al., Nat. Phys. 4, 919, B. Haage et al., Nat. Phys. 4, 915
- 11. Motivation Entanglement concentration Gaussian symmetrization Conclusions Photon Subtraction Unbalanced beam splitter and single-photon detection.1 Can be improved by local Gaussian operations.2 BS APD 1 H. Takahashi et al., Nat. Photon. 4, 178 2 J. Fiur´aˇsek, PRA 84, 012335, S. L. Zhang and P. van Loock, PRA 84, 062309
- 12. Motivation Entanglement concentration Gaussian symmetrization Conclusions The Protocol ˆD(α) ˆD(−α) ˆF = ˆa + α
- 13. Motivation Entanglement concentration Gaussian symmetrization Conclusions The Protocol ˆD(α) ˆD(−α) ˆF = ˆa + α ˆa + α ˆF1 = ˆa + α
- 14. Motivation Entanglement concentration Gaussian symmetrization Conclusions The Protocol ˆD(α) ˆD(−α) ˆF = ˆa + α ˆa + α ˆF1 = ˆa + α ˆa + α ˆb + β ˆF2 = (ˆa + α) ⊗ (ˆb + β)
- 15. Motivation Entanglement concentration Gaussian symmetrization Conclusions Input State Single-mode squeezed vacuum split on a beam splitter. |ψin = 4 1 − λ2 ∞ n=0 2n k=0 λn 2nn! (2n)!t2n−krk k!(2n − k)! |2n − k, k
- 16. Motivation Entanglement concentration Gaussian symmetrization Conclusions Weak Input Squeezing Zero- and two-photon contributions, |ψin ≈ |00 + λrt|11 + λ √ 2 (t2 |20 + r2 |02 ). Destructive quantum interference leads to enhancement of entanglement.
- 17. Motivation Entanglement concentration Gaussian symmetrization Conclusions Weak Input Squeezing Single-Mode Subtraction |ψ1 = λt(t|10 + r|01 ) + α|ψin Zero displacement is optimal. 0.0 0.2 0.4 0.6 0.8 1.0 E -0.05 0.0 0.05
- 18. Motivation Entanglement concentration Gaussian symmetrization Conclusions Weak Input Squeezing Two-Mode Subtraction |ψ2 = (λrt + αβ)|00 + λ(αr + βt)(t|10 + r|01 ) + + λ √ 2 αβ(t2 |20 + √ 2rt|11 + r2 |02 ) -0.15 0.0 0.15 -0.15 0.0 0.15
- 19. Motivation Entanglement concentration Gaussian symmetrization Conclusions Weak Input Squeezing Two-Mode Subtraction |ψ2 = (λrt + αβ)|00 + λ(αr + βt)(t|10 + r|01 ) + + λ √ 2 αβ(t2 |20 + √ 2rt|11 + r2 |02 ) Vacuum term elimination, αβ = −λrt. |ψ2 = √ 2rt|11 +t2|20 +r2|02 -0.15 0.0 0.15 -0.15 0.0 0.15
- 20. Motivation Entanglement concentration Gaussian symmetrization Conclusions Weak Input Squeezing Two-Mode Subtraction |ψ2 = (λrt + αβ)|00 + λ(αr + βt)(t|10 + r|01 ) + + λ √ 2 αβ(t2 |20 + √ 2rt|11 + r2 |02 ) Vacuum term elimination, αβ = −λrt. Single-photon contributions, α = √ λt, β = √ λr. |ψ2 = √ 2rt|11 +t2|20 +r2|02 0.8 1.0 1.2 1.4 1.6 E 0.0 0.05 0.1 0.15
- 21. Motivation Entanglement concentration Gaussian symmetrization Conclusions Arbitrary Squeezing A Realistic Scenario Experimental Realization Stronger squeezing. On-oﬀ detectors for photon subtraction with limited eﬃciency. Finite transmittance of tap-oﬀ beam splitters.
- 22. Motivation Entanglement concentration Gaussian symmetrization Conclusions Arbitrary Squeezing A Realistic Scenario Experimental Realization Stronger squeezing. On-oﬀ detectors for photon subtraction with limited eﬃciency. Finite transmittance of tap-oﬀ beam splitters. Higher photon numbers, mixed output state, more complicated ﬁltering operation.
- 23. Motivation Entanglement concentration Gaussian symmetrization Conclusions Arbitrary Squeezing Results 0.0 0.2 0.4 0.6 0.8 1.0 1.2 EN -0.5 0.0 0.5 0.9 1.0 1.1 1.2 EN 0.0 0.1 0.2 0.3 0.4 10 -7 10 -6 10 -5 10 -4 10 -3 10 -2 P1 0.0 0.1 0.2 0.3 0.4 -1.0 -0.5 0.0 0.5 1.0 -1.0 -0.5 0.0 0.5 1.0 1.3 1.4 1.5 EN 0.0 0.1 0.2 0.3 0.4 10 -14 10 -12 10 -10 10 -8 10 -6 10 -4 10 -2 P2 0.0 0.1 0.2 0.3 0.4
- 24. Motivation Entanglement concentration Gaussian symmetrization Conclusions Arbitrary Squeezing Results Conclusions Single-mode subtraction optimal without displacements. Two-mode subtraction gives more output entanglement; the success probability is smaller. a O. ˇCernot´ık and J. Fiur´aˇsek, PRA 86, 052339
- 25. Motivation Entanglement concentration Gaussian symmetrization Conclusions Arbitrary Squeezing Results Conclusions Single-mode subtraction optimal without displacements. Two-mode subtraction gives more output entanglement; the success probability is smaller. a O. ˇCernot´ık and J. Fiur´aˇsek, PRA 86, 052339 Extensions Losses limit usability of the protocol. No Gaussian entanglement at the output. b A. Tipsmark et al., Opt. Exp. 21, 6670
- 26. Motivation Entanglement concentration Gaussian symmetrization Conclusions Outline 1 Motivation 2 Enhancing entanglement concentration by coherent displacements 3 Symmetrization of multipartite states by local Gaussian operations 4 Conclusions
- 27. Motivation Entanglement concentration Gaussian symmetrization Conclusions Symmetrization of Multipartite Gaussian States Equalization of quadrature correlations. n 0 c 0 c 0 0 n 0 −d 0 −d c 0 n 0 c 0 0 −d 0 n 0 −d c 0 c 0 n 0 0 −d 0 −d 0 n → n′ 0 c′ 0 c′ 0 0 n′ 0 −c′ 0 −c′ c′ 0 n′ 0 c′ 0 0 −c′ 0 n′ 0 −c′ c′ 0 c′ 0 n′ 0 0 −c′ 0 −c′ 0 n′ Generalization of protocols for bipartite Gaussian states.1 1 J. Fiur´aˇsek, PRA 86, 032317
- 28. Motivation Entanglement concentration Gaussian symmetrization Conclusions Equivalent State Preparation N 1 2 . . . rN , nN 1:12:1(N − 1):1 r1, n1 r1, n1 r1, n1r1, n1 BS1 BSN−2 BSN−1BS2 (N − 2):1 N − 2 N − 1 Simpliﬁed analysis – working with two separable modes. Similarity to experimental realizations of quantum networks.1 1 T. Aoki et al., PRL 91, 080404, H. Yonezawa et al., Nature 431, 430
- 29. Motivation Entanglement concentration Gaussian symmetrization Conclusions Equivalent State Preparation N 1 2 . . . rN , nN 1:12:1(N − 1):1 r1, n1 r1, n1 r1, n1r1, n1 BS1 BSN−2 BSN−1BS2 (N − 2):1 N − 2 N − 1 n = 1 N [nNe2rN + (N − 1)n1e2r1 ] c = 1 N (nNe2rn − n1e2r1 ) d = 1 N (n1e−2r1 − nNe−2rN )
- 30. Motivation Entanglement concentration Gaussian symmetrization Conclusions Assisted Quantum Teleportation Entanglement characterization – assisted teleportation ﬁdelity.1 F = 1√ (n−c+1)(n−d+1−2d2/n) More general transformations (n, c, d) → (n′, c′, kc′). A B C in (qin − qA)/ √ 2 (pin + pA)/ √ 2 1 P. van Loock and S.L. Braunstein, PRL 84, 3482
- 31. Motivation Entanglement concentration Gaussian symmetrization Conclusions Strategies Correlated Noise Addition ργNS γN S γN S Adding correlated noise γN. Squeezing S.
- 32. Motivation Entanglement concentration Gaussian symmetrization Conclusions Strategies Quantum Non-Demolition Interaction ρgdAS g dB S g dC S QND interaction g, measurement on ancillas and displacement d. Squeezing S.
- 33. Motivation Entanglement concentration Gaussian symmetrization Conclusions Results for Tripartite States Noise Addition 0.45 0.5 0.55 0.6 0.65 F 0.45 0.5 0.55 0.6 0.65 0.7 0.75 k QND Interaction 0.4 0.45 0.5 0.55 F 0.3 0.4 0.5 0.6 0.7 k Both strategies work best for noisy states.
- 34. Motivation Entanglement concentration Gaussian symmetrization Conclusions Outlook More general class of transformations, (n1, n2, c, d) → (n′, k1n′, c′, k2c′). Formalism of complex symplectic matrices for purity-preserving Gaussian quantum ﬁlters.1 1 J. Fiur´aˇsek, PRA 87, 052301
- 35. Motivation Entanglement concentration Gaussian symmetrization Conclusions Outline 1 Motivation 2 Enhancing entanglement concentration by coherent displacements 3 Symmetrization of multipartite states by local Gaussian operations 4 Conclusions
- 36. Motivation Entanglement concentration Gaussian symmetrization Conclusions Entanglement Concentration Value of Squeezing Weak squeezing: Destructive quantum interference. Arbitrary squeezing: Realistic experimental scenario.
- 37. Motivation Entanglement concentration Gaussian symmetrization Conclusions Entanglement Concentration Value of Squeezing Weak squeezing: Destructive quantum interference. Arbitrary squeezing: Realistic experimental scenario. Strategies Single-mode photon subtraction optimal without displacements. Local displacements can improve two-mode subtraction.
- 38. Motivation Entanglement concentration Gaussian symmetrization Conclusions Entanglement Concentration Value of Squeezing Weak squeezing: Destructive quantum interference. Arbitrary squeezing: Realistic experimental scenario. Strategies Single-mode photon subtraction optimal without displacements. Local displacements can improve two-mode subtraction. Structure of the entanglement.
- 39. Motivation Entanglement concentration Gaussian symmetrization Conclusions Symmetrization of multipartite Gaussian states Tools Equivalent state preparation for analyzing protocols. Assisted teleportation ﬁdelity for state characterization.
- 40. Motivation Entanglement concentration Gaussian symmetrization Conclusions Symmetrization of multipartite Gaussian states Tools Equivalent state preparation for analyzing protocols. Assisted teleportation ﬁdelity for state characterization. Strategies Correlated noise addition: More sensitive to imperfections (narrow peak). QND interaction: More challenging experimentally (use of atomic ensemblesa, linear optical emulationb). Each strategy optimal for diﬀerent types of states. a K. Hammerer et al., RMP 82, 1041 b R. Filip et al., PRA 71, 042308
- 41. Motivation Entanglement concentration Gaussian symmetrization Conclusions Symmetrization of multipartite Gaussian states Tools Equivalent state preparation for analyzing protocols. Assisted teleportation ﬁdelity for state characterization. Strategies Correlated noise addition: More sensitive to imperfections (narrow peak). QND interaction: More challenging experimentally (use of atomic ensemblesa, linear optical emulationb). Each strategy optimal for diﬀerent types of states. a K. Hammerer et al., RMP 82, 1041 b R. Filip et al., PRA 71, 042308 Possible extensions of the protocol.
- 42. Motivation Entanglement concentration Gaussian symmetrization Conclusions Credits Jarom´ır Fiur´aˇsek Radim Filip Financial support: Thank you for your attention!