Current knowledge of the transversity quark distribution function, or how transversely polarized quarks are distributed in a transversely polarized proton?
The collective motion of a large group of individuals has two different scales. Individuals move and interact on a local scale, while the motion of the group as a whole occurs on a global scale. All the movement of the group on the global scale is produced by the many movements of its members, and so a good model for the global behaviour should arise from local models for the individuals. We investigate the link between the two scales, and create formulae for producing a global model for any particular lattice-based local model using mean-field approximations.
Introduction to Quantum Teleportation & BBCJPW ProtocolArunabha Saha
This document provides an outline and overview of the topic of quantum teleportation. It defines key concepts like entanglement and quantum measurement. It describes the BBCJPW protocol for quantum teleportation, where an entangled pair is used to teleport an unknown qubit from Alice to Bob via classical communication, allowing Bob to reconstruct the qubit. The document also notes that quantum teleportation does not allow for superluminal communication or violate known laws of physics.
International Conference on Monte Carlo techniques
Closing conference of thematic cycle
Paris July 5-8th 2016
Campus les cordeliers
Jere Koskela's slides
Galadriel's Mirror uses transformation optics to mimic a curved spacetime that allows for closed timelike curves, enabling time travel. The presentation discusses:
1) Using a curved spacetime metric from general relativity that allows time travel, even if not physically realistic. Transformation optics can then create an equivalent material.
2) A curved spacetime example that tips light cones, making a path that circles the angular direction both null and closed, enabling light to travel in time.
3) The proposed mirror material would use this curved spacetime, curving light along a closed null curve that takes it into the past, allowing users to see into the future or past through the mirror.
A Markov Chain Monte Carlo approach to the Steiner Tree Problem in water netw...Carlo Lancia
The document describes using a Metropolis algorithm and Markov chain Monte Carlo (MCMC) approach to solve the minimal Steiner tree problem, which models finding the shortest water distribution network for a farm district. It formulates the problem on a graph and defines the optimization problem and statistical mechanics analogy. It then describes designing a Markov chain with transition probabilities following the Metropolis rule and a Hamiltonian function incorporating edge costs and penalties for configurations violating constraints.
no U-turn sampler, a discussion of Hoffman & Gelman NUTS algorithmChristian Robert
The document describes the No-U-Turn Sampler (NUTS), an extension of Hamiltonian Monte Carlo (HMC) that aims to avoid the random walk behavior and poor mixing that can occur when the trajectory length L is not set appropriately. NUTS augments the model with a slice variable and uses a deterministic procedure to select a set of candidate states C based on the instantaneous distance gain, avoiding the need to manually tune L. It builds up a set of possible states B by doubling a binary tree and checking the distance criterion on subtrees, then samples from the uniform distribution over C to generate proposals. This allows NUTS to automatically determine an appropriate trajectory length and avoid issues like periodicity that can plague
This document proposes a method for continuous time series alignment in human action recognition. It defines continuous versions of time series, warping paths, and the dynamic time warping (DTW) distance. The method finds the optimal continuous warping path by approximating solutions to a cost minimization problem. An experiment applies the continuous DTW to classify human activities from accelerometer data, achieving classification accuracy close to the discrete DTW method. The continuous approach solves issues with resampling data and has potential for improved approximations and optimization methods.
Current knowledge of the transversity quark distribution function, or how transversely polarized quarks are distributed in a transversely polarized proton?
The collective motion of a large group of individuals has two different scales. Individuals move and interact on a local scale, while the motion of the group as a whole occurs on a global scale. All the movement of the group on the global scale is produced by the many movements of its members, and so a good model for the global behaviour should arise from local models for the individuals. We investigate the link between the two scales, and create formulae for producing a global model for any particular lattice-based local model using mean-field approximations.
Introduction to Quantum Teleportation & BBCJPW ProtocolArunabha Saha
This document provides an outline and overview of the topic of quantum teleportation. It defines key concepts like entanglement and quantum measurement. It describes the BBCJPW protocol for quantum teleportation, where an entangled pair is used to teleport an unknown qubit from Alice to Bob via classical communication, allowing Bob to reconstruct the qubit. The document also notes that quantum teleportation does not allow for superluminal communication or violate known laws of physics.
International Conference on Monte Carlo techniques
Closing conference of thematic cycle
Paris July 5-8th 2016
Campus les cordeliers
Jere Koskela's slides
Galadriel's Mirror uses transformation optics to mimic a curved spacetime that allows for closed timelike curves, enabling time travel. The presentation discusses:
1) Using a curved spacetime metric from general relativity that allows time travel, even if not physically realistic. Transformation optics can then create an equivalent material.
2) A curved spacetime example that tips light cones, making a path that circles the angular direction both null and closed, enabling light to travel in time.
3) The proposed mirror material would use this curved spacetime, curving light along a closed null curve that takes it into the past, allowing users to see into the future or past through the mirror.
A Markov Chain Monte Carlo approach to the Steiner Tree Problem in water netw...Carlo Lancia
The document describes using a Metropolis algorithm and Markov chain Monte Carlo (MCMC) approach to solve the minimal Steiner tree problem, which models finding the shortest water distribution network for a farm district. It formulates the problem on a graph and defines the optimization problem and statistical mechanics analogy. It then describes designing a Markov chain with transition probabilities following the Metropolis rule and a Hamiltonian function incorporating edge costs and penalties for configurations violating constraints.
no U-turn sampler, a discussion of Hoffman & Gelman NUTS algorithmChristian Robert
The document describes the No-U-Turn Sampler (NUTS), an extension of Hamiltonian Monte Carlo (HMC) that aims to avoid the random walk behavior and poor mixing that can occur when the trajectory length L is not set appropriately. NUTS augments the model with a slice variable and uses a deterministic procedure to select a set of candidate states C based on the instantaneous distance gain, avoiding the need to manually tune L. It builds up a set of possible states B by doubling a binary tree and checking the distance criterion on subtrees, then samples from the uniform distribution over C to generate proposals. This allows NUTS to automatically determine an appropriate trajectory length and avoid issues like periodicity that can plague
This document proposes a method for continuous time series alignment in human action recognition. It defines continuous versions of time series, warping paths, and the dynamic time warping (DTW) distance. The method finds the optimal continuous warping path by approximating solutions to a cost minimization problem. An experiment applies the continuous DTW to classify human activities from accelerometer data, achieving classification accuracy close to the discrete DTW method. The continuous approach solves issues with resampling data and has potential for improved approximations and optimization methods.
The document discusses kinematics and defines key terms like displacement, speed, velocity, and acceleration. It explains that kinematics deals with motion without reference to forces, while dynamics considers forces. Displacement is distance travelled along a specified direction, speed is a scalar quantity referring to rate of change of distance, and velocity is a vector quantity referring to rate of change of displacement. Acceleration refers to rate of change of velocity. Examples of displacement-time graphs are also presented to illustrate concepts of uniform and changing velocity.
In this paper, we propose an improved quantum-behaved particle swarm optimization (QPSO), introducing chaos theory into QPSO and exerting logistic map to every particle position X(t) at a certain probability. In this improved QPSO, the logistic map is used to generate a set of chaotic offsets and produce multiple positions around X(t). According to their fitness, the particle's position is updated. In order to further enhance the diversity of particles, mutation operation is introduced into and acts on one dimension of the particle's position. What's more, the chaos and mutation probabilities are carefully selected. Through several typical function experiments, its result shows that the convergence accuracy of the improved QPSO is better than those of QPSO, so it is feasible and effective to introduce chaos theory and mutation operation into QPSO.
The document discusses the Gaussian minimum entropy conjecture, which states that for Gaussian bosonic channels, the minimum von Neumann entropy of the channel output occurs when the input is the vacuum state. This conjecture is important for calculating the classical capacity of Gaussian quantum channels and optical communication limits. The conjecture can be reduced to showing that the minimum output entanglement of a two-mode squeezer occurs for the vacuum input state. Some evidence for the conjecture is provided by considering Fock state inputs and showing the output entropy is minimally when the input is the vacuum state. However, a full proof remains elusive.
This document provides an introduction to the concept of wave turbulence. It discusses how waves interact nonlinearly at finite amplitudes to produce a statistical, non-equilibrium dynamics. Key points:
- Wave turbulence involves dispersive waves that are excited and damped by external processes, leading to interactions between many degrees of freedom.
- The nonlinear interactions can be modeled using a Hamiltonian approach by including higher-order terms that couple different Fourier modes.
- A central goal is developing a statistical description of the system using correlation functions and obtaining a closed kinetic equation for the wave spectrum.
- In the weak turbulence regime, this kinetic equation can be solved perturbatively to obtain scaling laws for the wave spectrum in both physical and
The document discusses Markov chains and their relationship to random walks on graphs and electrical networks. Some key points:
- A Markov chain is a process that transitions between a finite set of states based on transition probabilities that depend only on the current state.
- For a strongly connected Markov chain, there exists a unique stationary distribution that the long-term probabilities of the chain converge to, regardless of the starting state.
- Random walks on undirected graphs can be modeled as Markov chains, where the transition probabilities are proportional to edge conductances in an analogous electrical network. The stationary distribution of such a random walk is proportional to vertex degrees or conductances.
Further discriminatory signature of inflationLaila A
These are the slides of the talk I gave on discriminating between models of inflation using space based gravitational wave detectors, at KEK in Tskuba University, Japan.
Neuron-computer interface in Dynamic-Clamp experimentsSSA KPI
AACIMP 2010 Summer School lecture by Anton Chizhov. "Physics, Chemistry and Living Systems" stream. "Neuron-Computer Interface in Dynamic-Clamp Experiments. Models of Neuronal Populations and Visual Cortex" course. Part 1.
More info at http://summerschool.ssa.org.ua
Primordial gravitational waves from inflation could be detected using the cosmic microwave background. Gravitational waves passing through the last scattering surface would induce B-mode polarization patterns in the CMB. Future experiments aim to detect these B-modes as a signature of primordial gravitational waves, which would provide insights into inflation and the very early universe.
The Inverse Smoluchowski Problem, Particles In Turbulence 2011, Potsdam, Marc...Colm Connaughton
This document summarizes Colm Connaughton's presentation on solving the inverse Smoluchowski problem to determine particle collision kernels from observed cluster size distributions. It describes how the forward problem maps kernels to distributions but the inverse problem is ill-posed. Tikhonov regularization is used to obtain approximate kernel reconstructions from numerical solutions with known test kernels, demonstrating partial success in reconstructing kernel features despite ill-posedness. Future work aims to address limitations and applicability to real problems.
A. Morozov - Black Hole Motion in Entropic Reformulation of General RelativitySEENET-MTP
1. The document considers describing the motion of black holes using an entropic action equal to the sum of the areas of black hole horizons.
2. It is shown that this description is consistent with Newton's laws of motion and gravity, up to unknown numerical coefficients.
3. Evaluating these dimensionless coefficients precisely is important for advancing the entropic reformulation of general relativity beyond pure dimensional arguments.
1. The document discusses nonadiabatic transitions in chemical systems using path integral representations.
2. It introduces a nonadiabatic path integral approach based on overlap integrals between nuclear configurations on different electronic surfaces, as an alternative to the traditional derivative coupling approach.
3. A nonadiabatic beads model is presented for calculating nonadiabatic partition functions using a quantum-classical mapping, where the Boltzmann operator is divided among discrete nuclear coordinates on different surfaces connected by overlap integrals.
The document discusses using k-nearest neighbors and KD-trees to create a computationally cheap approximation (πa) of an expensive-to-evaluate target distribution π. This approximation allows the use of delayed acceptance in a Metropolis-Hastings or pseudo-marginal Metropolis-Hastings algorithm to potentially reduce computation cost per iteration. Specifically, it describes:
1) Using a weighted average of the k nearest neighbor π values to define the approximation πa.
2) How delayed acceptance preserves the stationary distribution while mixing more slowly than standard MH.
3) Storing the evaluated π values in a KD-tree to enable fast lookup of the k nearest neighbors.
Nonequilibrium statistical mechanics of cluster-cluster aggregation, School o...Colm Connaughton
Colm Connaughton presented on nonequilibrium statistical mechanics models of cluster-cluster aggregation. He discussed simple models where particles move randomly and merge upon contact. More sophisticated models track the size distribution of clusters as they aggregate. The Smoluchowski equation describes this process. For certain collision kernels, clusters of arbitrarily large size can form in finite time, known as gelation. While some kernels mathematically describe instantaneous gelation, physical models avoid this with a cluster size cutoff. Stationary states can be reached with a particle source.
Feedback of zonal flows on Rossby-wave turbulence driven by small scale inst...Colm Connaughton
The document summarizes research on the interaction between large-scale zonal flows and small-scale Rossby wave turbulence. It describes how modulational instability can generate large-scale zonal jets from small-scale Rossby waves through an inverse cascade. The generated jets then provide negative feedback on the small-scale waves by distorting them and inducing spectral diffusion through a nonlocal turbulence theory. Numerical simulations demonstrate this generation of jets and spectral transport between scales.
Quantized and finite reference of frame Eran Sinbar
1) The document proposes a theory of a quantized and finite reference frame based on the Quantized Universe Theory and Grid Extra Dimensions Theory.
2) It suggests that space is made up of discrete 3D elements the size of the Planck length, with extra dimensions between them allowing for quantum nonlocal behavior.
3) Velocities, masses, and momenta are proposed to have discrete quantized values depending on factors like the particle's wavelength and Planck's constant, with a minimum time between movements of a particle equal to the Planck time.
The family of Ibrahim and Suha Nateel fled Gaza during the recent conflict and bombing. For 23 days, Suha hid under a bed with her four children, only leaving for the bathroom or to get food, terrified that an Israeli bomb would hit them. They survived on little food and were cold, with the children crying constantly from fear. They have now found refuge in Dublin, Ireland, though the children still have nightmares from the sounds of bombing. Suha is grateful to be safe but says Gaza is destroyed, and she does not feel she can return as it is no longer safe.
This document provides an introduction and overview of the Hewlett Packard Enterprise (HPE) Cyber Risk Report for 2016. It discusses the goals and data sources used in the report. It also outlines several key themes in cybersecurity in 2015, including the impacts of major data breaches, challenges with regulations, and a shift toward directly attacking applications. The document previews various topics that will be covered in the full report, such as vulnerabilities, exploits, malware, software analysis, and defense strategies.
The document discusses kinematics and defines key terms like displacement, speed, velocity, and acceleration. It explains that kinematics deals with motion without reference to forces, while dynamics considers forces. Displacement is distance travelled along a specified direction, speed is a scalar quantity referring to rate of change of distance, and velocity is a vector quantity referring to rate of change of displacement. Acceleration refers to rate of change of velocity. Examples of displacement-time graphs are also presented to illustrate concepts of uniform and changing velocity.
In this paper, we propose an improved quantum-behaved particle swarm optimization (QPSO), introducing chaos theory into QPSO and exerting logistic map to every particle position X(t) at a certain probability. In this improved QPSO, the logistic map is used to generate a set of chaotic offsets and produce multiple positions around X(t). According to their fitness, the particle's position is updated. In order to further enhance the diversity of particles, mutation operation is introduced into and acts on one dimension of the particle's position. What's more, the chaos and mutation probabilities are carefully selected. Through several typical function experiments, its result shows that the convergence accuracy of the improved QPSO is better than those of QPSO, so it is feasible and effective to introduce chaos theory and mutation operation into QPSO.
The document discusses the Gaussian minimum entropy conjecture, which states that for Gaussian bosonic channels, the minimum von Neumann entropy of the channel output occurs when the input is the vacuum state. This conjecture is important for calculating the classical capacity of Gaussian quantum channels and optical communication limits. The conjecture can be reduced to showing that the minimum output entanglement of a two-mode squeezer occurs for the vacuum input state. Some evidence for the conjecture is provided by considering Fock state inputs and showing the output entropy is minimally when the input is the vacuum state. However, a full proof remains elusive.
This document provides an introduction to the concept of wave turbulence. It discusses how waves interact nonlinearly at finite amplitudes to produce a statistical, non-equilibrium dynamics. Key points:
- Wave turbulence involves dispersive waves that are excited and damped by external processes, leading to interactions between many degrees of freedom.
- The nonlinear interactions can be modeled using a Hamiltonian approach by including higher-order terms that couple different Fourier modes.
- A central goal is developing a statistical description of the system using correlation functions and obtaining a closed kinetic equation for the wave spectrum.
- In the weak turbulence regime, this kinetic equation can be solved perturbatively to obtain scaling laws for the wave spectrum in both physical and
The document discusses Markov chains and their relationship to random walks on graphs and electrical networks. Some key points:
- A Markov chain is a process that transitions between a finite set of states based on transition probabilities that depend only on the current state.
- For a strongly connected Markov chain, there exists a unique stationary distribution that the long-term probabilities of the chain converge to, regardless of the starting state.
- Random walks on undirected graphs can be modeled as Markov chains, where the transition probabilities are proportional to edge conductances in an analogous electrical network. The stationary distribution of such a random walk is proportional to vertex degrees or conductances.
Further discriminatory signature of inflationLaila A
These are the slides of the talk I gave on discriminating between models of inflation using space based gravitational wave detectors, at KEK in Tskuba University, Japan.
Neuron-computer interface in Dynamic-Clamp experimentsSSA KPI
AACIMP 2010 Summer School lecture by Anton Chizhov. "Physics, Chemistry and Living Systems" stream. "Neuron-Computer Interface in Dynamic-Clamp Experiments. Models of Neuronal Populations and Visual Cortex" course. Part 1.
More info at http://summerschool.ssa.org.ua
Primordial gravitational waves from inflation could be detected using the cosmic microwave background. Gravitational waves passing through the last scattering surface would induce B-mode polarization patterns in the CMB. Future experiments aim to detect these B-modes as a signature of primordial gravitational waves, which would provide insights into inflation and the very early universe.
The Inverse Smoluchowski Problem, Particles In Turbulence 2011, Potsdam, Marc...Colm Connaughton
This document summarizes Colm Connaughton's presentation on solving the inverse Smoluchowski problem to determine particle collision kernels from observed cluster size distributions. It describes how the forward problem maps kernels to distributions but the inverse problem is ill-posed. Tikhonov regularization is used to obtain approximate kernel reconstructions from numerical solutions with known test kernels, demonstrating partial success in reconstructing kernel features despite ill-posedness. Future work aims to address limitations and applicability to real problems.
A. Morozov - Black Hole Motion in Entropic Reformulation of General RelativitySEENET-MTP
1. The document considers describing the motion of black holes using an entropic action equal to the sum of the areas of black hole horizons.
2. It is shown that this description is consistent with Newton's laws of motion and gravity, up to unknown numerical coefficients.
3. Evaluating these dimensionless coefficients precisely is important for advancing the entropic reformulation of general relativity beyond pure dimensional arguments.
1. The document discusses nonadiabatic transitions in chemical systems using path integral representations.
2. It introduces a nonadiabatic path integral approach based on overlap integrals between nuclear configurations on different electronic surfaces, as an alternative to the traditional derivative coupling approach.
3. A nonadiabatic beads model is presented for calculating nonadiabatic partition functions using a quantum-classical mapping, where the Boltzmann operator is divided among discrete nuclear coordinates on different surfaces connected by overlap integrals.
The document discusses using k-nearest neighbors and KD-trees to create a computationally cheap approximation (πa) of an expensive-to-evaluate target distribution π. This approximation allows the use of delayed acceptance in a Metropolis-Hastings or pseudo-marginal Metropolis-Hastings algorithm to potentially reduce computation cost per iteration. Specifically, it describes:
1) Using a weighted average of the k nearest neighbor π values to define the approximation πa.
2) How delayed acceptance preserves the stationary distribution while mixing more slowly than standard MH.
3) Storing the evaluated π values in a KD-tree to enable fast lookup of the k nearest neighbors.
Nonequilibrium statistical mechanics of cluster-cluster aggregation, School o...Colm Connaughton
Colm Connaughton presented on nonequilibrium statistical mechanics models of cluster-cluster aggregation. He discussed simple models where particles move randomly and merge upon contact. More sophisticated models track the size distribution of clusters as they aggregate. The Smoluchowski equation describes this process. For certain collision kernels, clusters of arbitrarily large size can form in finite time, known as gelation. While some kernels mathematically describe instantaneous gelation, physical models avoid this with a cluster size cutoff. Stationary states can be reached with a particle source.
Feedback of zonal flows on Rossby-wave turbulence driven by small scale inst...Colm Connaughton
The document summarizes research on the interaction between large-scale zonal flows and small-scale Rossby wave turbulence. It describes how modulational instability can generate large-scale zonal jets from small-scale Rossby waves through an inverse cascade. The generated jets then provide negative feedback on the small-scale waves by distorting them and inducing spectral diffusion through a nonlocal turbulence theory. Numerical simulations demonstrate this generation of jets and spectral transport between scales.
Quantized and finite reference of frame Eran Sinbar
1) The document proposes a theory of a quantized and finite reference frame based on the Quantized Universe Theory and Grid Extra Dimensions Theory.
2) It suggests that space is made up of discrete 3D elements the size of the Planck length, with extra dimensions between them allowing for quantum nonlocal behavior.
3) Velocities, masses, and momenta are proposed to have discrete quantized values depending on factors like the particle's wavelength and Planck's constant, with a minimum time between movements of a particle equal to the Planck time.
The family of Ibrahim and Suha Nateel fled Gaza during the recent conflict and bombing. For 23 days, Suha hid under a bed with her four children, only leaving for the bathroom or to get food, terrified that an Israeli bomb would hit them. They survived on little food and were cold, with the children crying constantly from fear. They have now found refuge in Dublin, Ireland, though the children still have nightmares from the sounds of bombing. Suha is grateful to be safe but says Gaza is destroyed, and she does not feel she can return as it is no longer safe.
This document provides an introduction and overview of the Hewlett Packard Enterprise (HPE) Cyber Risk Report for 2016. It discusses the goals and data sources used in the report. It also outlines several key themes in cybersecurity in 2015, including the impacts of major data breaches, challenges with regulations, and a shift toward directly attacking applications. The document previews various topics that will be covered in the full report, such as vulnerabilities, exploits, malware, software analysis, and defense strategies.
The chapter discusses input filter design for power electronics converters. It introduces the concepts of conducted electromagnetic interference (EMI) and how input filters can attenuate current harmonics to meet EMI regulations. However, input filters can negatively impact converter stability by changing the converter transfer functions. The chapter then examines how to analyze these impacts and provides criteria for proper input filter design, such as imposing impedance inequalities to minimize effects on stability. Sample impedance models are also presented for common converter types.
Distributed Companies: A WordPress.com Team Perspective - Davide Casali - Cod...Codemotion
This document summarizes the process of developing the new Theme Showcase for WordPress.com by a distributed team at Automattic. It involved 5 design iterations over 3.5 months with input from external and internal testers. The team used principles of transparency, initiative, communication, remote-friendly tools, and an emphasis on culture to successfully collaborate across distances. The new Theme Showcase was launched on schedule and within budget, demonstrating how effective work can be done in a fully distributed company.
I would describe myself as a conscientious worker, problem solver and a dependable team player with laboratory expertise in molecular cloning, virology and immunology. I am proficient at developing small animal infection models, mammalian cell culture, proficient at working in Biosafety level -2 and 3 laboratories, developing recombinant gene constructs through primer design, restriction digestion and bacterial cloning. I am proficient at nucleic acid (DNA/RNA) extraction, quantitative PCR and RT-PCR. My technical expertise in virology and immunology include performing plaque assays and foci forming assays to quantify viremia and ELISA. I possess extensive training in working with laboratory animals and I am proficient at intra-nasal and intra-peritoneal drug administration, working with animal restraint systems like the In-TOX system and have performed nebulization studies using guinea pigs in the past. I also perform tail DNA genotyping in mice.
El Instituto del Diálogo Interreligioso (IDI) fue fundado en Argentina a inicios de la década pasada por el entonces Arzobispo de Buenos Aires (ahora Papa Francisco) y líderes de otras religiones para promover el entendimiento entre personas de fe. Desde entonces, el IDI ha organizado varios eventos exitosos para expandir la cultura del diálogo interreligioso, incluyendo recientemente el Primer Encuentro "América en Diálogo" en Roma con la OEA. Este evento reunió a representantes de 19 países para
Este documento discute el problema del consumo excesivo de alcohol entre los estudiantes de la Universidad Autónoma Gabriel René Moreno en Puno, Perú. Explica que el alcoholismo es una enfermedad compleja causada por factores biológicos, genéticos, culturales y psicológicos. Identifica varias causas del alto consumo de alcohol entre los estudiantes, como la presión de los amigos, problemas familiares y la falta de conciencia sobre los efectos negativos del alcohol. El objetivo es determinar estas causas y su influencia en el rendim
This document discusses generator grounding and neutral grounding. It provides information on different grounding methods like solid grounding, low resistance grounding, and high resistance grounding. It explains that the method used depends on factors like system voltage level, generator design, fault current levels, and capacitive charging currents. High resistance grounding is generally preferred as it limits fault currents while allowing faults to be detected.
Este documento resume los músculos principales del miembro superior, incluyendo los músculos del hombro, brazo, antebrazo y mano. Describe la ubicación de origen e inserción, así como la acción principal de cada músculo.
This document summarizes a research paper that examines whether it is more beneficial for an individual to obtain a college degree or seek employment in the petroleum industry involving hydraulic fracking. The paper uses an interdisciplinary approach drawing on mass communications and general business. Some findings show how media framing can influence perspectives on this issue. The results demonstrate the many factors an individual must consider in making this complex decision, such as financial impacts, job opportunities, safety risks, and environmental effects.
1. The document discusses single phase AC circuits including definitions of terms like amplitude, time period, frequency, instantaneous value. It also discusses generation of sinusoidal AC voltage using a rotating coil.
2. Key concepts discussed include phasor representation, RMS and average values, form factor, phase difference, AC circuits with pure resistance and inductance. Instantaneous and average power calculations for resistive and inductive circuits are also presented.
3. Various waveforms, equations and phasor representations are used to explain these concepts for sinusoidal quantities in AC circuits.
The document summarizes research on spacey random walks, which are a type of stochastic process that can model higher-order Markov chains. Key points:
1. Spacey random walks generalize higher-order Markov chains by forgetting history but pretending to remember a random previous state, with the stationary distribution given by a tensor eigenvector of the transition tensor.
2. This connects higher-order Markov chains to tensor eigenvectors and provides a stochastic interpretation of tensor eigenvectors as stationary distributions.
3. The dynamics of spacey random walks can be modeled as an ordinary differential equation, allowing tensor eigenvectors to be computed by numerically integrating the dynamical system.
Spacey random walks from Householder Symposium XX 2017Austin Benson
1. Spacey random walks are a stochastic process that provides a probabilistic interpretation of tensor eigenvectors. The spacey random walk forgets its previous state but guesses it randomly, resulting in a limiting distribution that is a tensor eigenvector.
2. Higher-order Markov chains can be modeled as spacey random walks, which converge to tensor eigenvectors. This provides an algorithm for computing eigenvectors via numerical integration rather than algebraic methods.
3. Spacey random walks generalize Pólya urn processes and have applications in transportation modeling, clustering multi-relational data, and ranking. Learning the transition tensor from taxi trajectory data supports the spacey random walk hypothesis.
Schrodinger wave equation and its application
a very good animated presentation.
Bs level.
semester 6th.
how to make a very good appreciable presentation.
This document discusses topological string theory and Gromov-Witten invariants. It begins by introducing supersymmetric sigma models on Kähler manifolds with N=2 supersymmetry. These lead to a topological twist known as the A-model, which is independent of the target space metric. Gromov-Witten invariants count rational curves in an algebraic variety X and are unchanged by complex structure deformations of X, making them a manifestation of the A-model's independence of complex structure. The Gromov-Witten invariants are also directly related to Donaldson-Thomas invariants.
- The Laplace transform is a linear operator that transforms a function of time (f(t)) into a function of complex frequency (F(s)). It was developed from the work of mathematicians like Euler, Lagrange, and Laplace.
- The Laplace transform has many applications in fields like semiconductor mobility, wireless network call completion, vehicle vibration analysis, and modeling electric and magnetic fields. It allows transforming differential equations into algebraic equations that are easier to solve.
- For example, in semiconductors with varying material layers, the Laplace transform can relate the conductivity tensor to the Laplace transforms of electron and hole densities, enabling the determination of key properties like carrier concentration and mobility in each layer.
Optical Aberration is the phenomenon of Image Distortion due to Optics Imperfection.
For comments please contact me at solo.hermelin@gmail.com.
For more presentations visit my website at http://www.solohermelin.com.
This presentation is in the Optics Folder. Since some of the Figures were not downloaded I recommend to see the presentation on my website.
This document provides an overview of Cedric Weber's background and research interests, which include dynamical mean field theory (DMFT) and its application to oxide materials. Some key points:
- Cedric Weber received his PhD in quantum magnetism and superconductivity from EPFL and has worked on DMFT at Rutgers and the University of Cambridge. He is currently a researcher at King's College London.
- His research focuses on developing DMFT software and studying phase diagrams of high-temperature superconductors and other oxide materials using techniques like DMFT, GW+DMFT, and the Bethe-Salpeter equation.
- He collaborates with theorists and experimentalists on topics like laser
International Conference on Monte Carlo techniques
Closing conference of thematic cycle
Paris July 5-8th 2016
Campus les Cordeliers
Slides of Richard Everitt's presentation
Dynamical symmetry breaking in vibration-assisted transport through nanostruc...Vorname Nachname
This document summarizes a theoretical model of electron transport through a nanostructure with strong electron-vibron coupling. A single molecule is coupled to many vibronic modes, and at low energies transport is dominated by electron-vibron processes where an electron transfers through the molecule accompanied by the excitation or emission of vibrons. When the vibron frequencies form a harmonic series, energetically degenerate vibronic configurations can contribute to transport. Both negative differential conductance features and gate asymmetry are predicted due to interplay between Franck-Condon suppression and spin/orbital degeneracies, which give rise to slow transport channels.
Vladimir S. Aslanov, Alexander S. Ledkov, Arun K. Misra, Anna D. Guerman
The 63rd International Astronautical Congress
The purposes this research are
+ development of the mathematical model for a space elevator taking into account the influence of the atmosphere;
+ study of dynamics of elevator's elements when its ribbon is cut;
+ analysis of the consequences of the rupture of the space elevator ribbon for satellites and objects on the ground.
This document summarizes an upcoming presentation on using computational modeling and experimental testing to better understand atmospheric entry of spacecraft. It discusses how different facilities can simulate some but not all entry conditions, and how multidisciplinary modeling is needed due to the complex coupled physics involved. Experimental testing in plasma wind tunnels can characterize the high-temperature reacting flow environment, while computational modeling requires approaches that span continuum to rarefied regimes to fully capture the multi-scale physics. Improving predictive capabilities will help design future planetary missions.
Characterization of Subsurface Heterogeneity: Integration of Soft and Hard In...Amro Elfeki
Park, E., Elfeki, A. M. M., Dekking, F.M. (2003). Characterization of subsurface heterogeneity: Integration of soft and hard information using multi-dimensional Coupled Markov chain approach. Underground Injection Science and Technology Symposium, Lawrence Berkeley National Lab., October 22-25, 2003. p.49. Eds. Tsang, Chin.-Fu and Apps, John A.
http://www.lbl.gov/Conferences/UIST/index.html#topics
Fundamental Concepts on Electromagnetic TheoryAL- AMIN
The document summarizes key concepts from a presentation on electromagnetic theory. It discusses different types of fields, including scalar and vector fields. It also covers gradient, divergence, curl, coordinate systems, static electric and magnetic fields, Maxwell's equations, and other fundamental electromagnetic concepts. Multiple students contributed sections on topics including Coulomb's law, Biot-Savart law, Lorentz force, and Maxwell's equations in differential, integral and harmonic forms.
Quantum Theory. Wave Particle Duality. Particle in a Box. Schrodinger wave equation. Quantum Numbers and Electron Orbitals. Principal Shells and Subshells. A Fourth Quantum Number. Effective nuclear charge
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Quantum Walk on Spin Networks by Marcelo Amaral, Raymond Aschheim and Klee Irwin
1. Quantum walk on
spin network
(arXiv:1602.07653v1
M M Amaral,
Raymond
Aschheim and Klee
Irwin
Introduction
Particle interacting
LQG
Quantum walk
Entanglement
Entropy
A model of walker
position
topologically
encoded on spin
network
Application to
black hole
Discussion
Quantum walk on spin network
(arXiv:1602.07653v1)
M M Amaral, Raymond Aschheim and Klee Irwin
Fourth International Conference on the Nature and Ontology of Spacetime
May 31, 2016
2. Quantum walk on
spin network
(arXiv:1602.07653v1
M M Amaral,
Raymond
Aschheim and Klee
Irwin
Introduction
Particle interacting
LQG
Quantum walk
Entanglement
Entropy
A model of walker
position
topologically
encoded on spin
network
Application to
black hole
Discussion
Motivations
→ Feynman path integral quantization
Quantum (transition amplitudes)
W = D[]e
i
h
S
(1)
→ Feynman path integral discretization
3. Quantum walk on
spin network
(arXiv:1602.07653v1
M M Amaral,
Raymond
Aschheim and Klee
Irwin
Introduction
Particle interacting
LQG
Quantum walk
Entanglement
Entropy
A model of walker
position
topologically
encoded on spin
network
Application to
black hole
Discussion
Motivations
→ Feynman checkerboard → quantum random walk
→ It from bit
→ From an ontological viewpoint we will see that dynamics
and mass emerge from the spin network topology, and that
quantum walk implements it.
4. Quantum walk on
spin network
(arXiv:1602.07653v1
M M Amaral,
Raymond
Aschheim and Klee
Irwin
Introduction
Particle interacting
LQG
Quantum walk
Entanglement
Entropy
A model of walker
position
topologically
encoded on spin
network
Application to
black hole
Discussion
Spin network
→ Spin network graph Γ = (V (Γ), L(Γ)),
with V (Γ) → v1, v2..., vertices
and L(Γ) → l1, l2..., ({1
2, 1, 3
2...}) links
→ For the particle state space the relevant contribution
comes from the position on the vertices of graph Γ.
→ Hamiltonian operator on a fixed spin network 1
ψ|H|ψ = κ
l
jl (jl + 1) (ψ(lf ) − ψ(li ))2
, (2)
lf are the final points of the link l and li the initial points
1
C. Rovelli; F. Vidotto, Phys. Rev. D 2010, 81, arXiv:0905.2983v2.
5. Quantum walk on
spin network
(arXiv:1602.07653v1
M M Amaral,
Raymond
Aschheim and Klee
Irwin
Introduction
Particle interacting
LQG
Quantum walk
Entanglement
Entropy
A model of walker
position
topologically
encoded on spin
network
Application to
black hole
Discussion
Transition probabilities
→ If the link l starts at vertex m and ends at vertex n we
can change the notation, relabelling the color of this link l
between m and n as jmn and the wave function on the end
points as ψ(vm), ψ(vn). Now, for H, we have
ψ|H|ψ = κ
l
jmn(jmn + 1) (ψ(vn) − ψ(vm))2
, (3)
→ Random walk associated with (3) have transition
probabilities 2
Pmn =
jmn(jmn + 1)
k
jmk(jmk + 1)
. (4)
2
J. M. Garcia-Islas, ARXIV gr-qc/1411.4383.
6. Quantum walk on
spin network
(arXiv:1602.07653v1
M M Amaral,
Raymond
Aschheim and Klee
Irwin
Introduction
Particle interacting
LQG
Quantum walk
Entanglement
Entropy
A model of walker
position
topologically
encoded on spin
network
Application to
black hole
Discussion
Quantum walk
→ Consider the Nv -dimensional Hilbert space
Hn, {|n , n = 1, 2, ..., Nv } and
Hm, {|m , m = 1, 2, ..., Nv },
where Nv is the number of the vertex V (Γ) .
→ The state of the walk is given in the product HNv
n ⊗ HNv
m
spanned by these bases, by states at the previous |m and
current |n steps, defined by 3
|ψn(t) =
Nv
m
Pmn |n ⊗ |m , (5)
3
M. Szegedy, arXiv:quant-ph/0401053, arXiv:quant-ph/0401053v11.
7. Quantum walk on
spin network
(arXiv:1602.07653v1
M M Amaral,
Raymond
Aschheim and Klee
Irwin
Introduction
Particle interacting
LQG
Quantum walk
Entanglement
Entropy
A model of walker
position
topologically
encoded on spin
network
Application to
black hole
Discussion
Quantum walk
→ For the evolution define a reflection, which we can
interpret with the“coin”operator
C = 2
n
|ψn ψn| − I, (6)
and a swap operation
S =
n,m
|m, n n, m| , (7)
and we have the unitary evolution
U = CS, (8)
that defines the DQW.
8. Quantum walk on
spin network
(arXiv:1602.07653v1
M M Amaral,
Raymond
Aschheim and Klee
Irwin
Introduction
Particle interacting
LQG
Quantum walk
Entanglement
Entropy
A model of walker
position
topologically
encoded on spin
network
Application to
black hole
Discussion
Quantum walk
→ For the evolution define a reflection, which we can
interpret with the“coin”operator
C = 2
n
|ψn ψn| − I, (6)
and a swap operation
S =
n,m
|m, n n, m| , (7)
and we have the unitary evolution
U = CS, (8)
that defines the DQW.
→ It is given by equations (5 - 8) with P given by (4).
Namely, for equation (5)
|ψn(t) =
Nv
m
jmn(jmn + 1)
k
jmk(jmk + 1)
|n ⊗ |m . (9)
9. Quantum walk on
spin network
(arXiv:1602.07653v1
M M Amaral,
Raymond
Aschheim and Klee
Irwin
Introduction
Particle interacting
LQG
Quantum walk
Entanglement
Entropy
A model of walker
position
topologically
encoded on spin
network
Application to
black hole
Discussion
Quantum walk
→ To do:
- Continuum limit;
- Two particle QW and entanglement;
- Others Laplacians 4.
4
Johannes Thurigen tesis, arXiv:1510.08706v1
10. Quantum walk on
spin network
(arXiv:1602.07653v1
M M Amaral,
Raymond
Aschheim and Klee
Irwin
Introduction
Particle interacting
LQG
Quantum walk
Entanglement
Entropy
A model of walker
position
topologically
encoded on spin
network
Application to
black hole
Discussion
Entanglement Entropy
→ Consider the Schmidt decomposition. Take a Hilbert
space H and decompose it into two subspaces H1 of
dimension N1 and H2 of dimension N2 ≥ N1, so
H = H1 ⊗ H2. (10)
Let |ψ ∈ H1 ⊗ H2, and { ψ1
i } ⊂ H1, { ψ2
i } ⊂ H2, and
positive real numbers {λi }, then the Schmidt decomposition
read
|ψ =
N1
i
λi ψ1
i ⊗ ψ2
i , (11)
where λi are the Schmidt coefficients and the number of the
terms in the sum is the Schmidt rank, which we label N.
→ With this we can calculate the Entanglement Entropy
between the two subspaces
SE = −
i∈N
λi logλi . (12)
11. Quantum walk on
spin network
(arXiv:1602.07653v1
M M Amaral,
Raymond
Aschheim and Klee
Irwin
Introduction
Particle interacting
LQG
Quantum walk
Entanglement
Entropy
A model of walker
position
topologically
encoded on spin
network
Application to
black hole
Discussion
Entanglement Entropy
→ We can now calculate the local Entanglement Entropy
between the previous step and the current n step (similar for
current and next). Identify the Schmidt coefficients λi with
our Pmn. Note that the Schmidt rank N is the valence of the
node. Then the local Entanglement Entropy on current step
is
SEn = −
N
m
PmnlogPmn. (13)
By maximizing Entanglement Entropy
SEn = logNmax , (14)
where Nmax is the largest valence.
12. Quantum walk on
spin network
(arXiv:1602.07653v1
M M Amaral,
Raymond
Aschheim and Klee
Irwin
Introduction
Particle interacting
LQG
Quantum walk
Entanglement
Entropy
A model of walker
position
topologically
encoded on spin
network
Application to
black hole
Discussion
Entropic motion
→ For particular cases the particle will move to a place
where the entropy is the largest. This can be though of as
an entropic motion.
→ And we can compute the change of entropy with respect
to position for this motion. In our case as we have a discrete
system we have that the variation of entropy with respect to
position is just a difference of the local entropies at
neighbour vertices
dS
dx = |SEn − SEm |
proportional to a small number identified with the particle
mass M
dS
dx
= |SEn − SEm | = αM, (15)
where α is a constant of dimension [bit/mass].
13. Quantum walk on
spin network
(arXiv:1602.07653v1
M M Amaral,
Raymond
Aschheim and Klee
Irwin
Introduction
Particle interacting
LQG
Quantum walk
Entanglement
Entropy
A model of walker
position
topologically
encoded on spin
network
Application to
black hole
Discussion
Walker position encoded on spin network
→ From (4) and (13) we can compute the local entropy
from a vertex as
SEn = logσ −
1
σ
N
m
jmn(jmn + 1)log (jmn(jmn + 1)) , (16)
where σ =
N
m
jmn(jmn + 1) of neighbour links. For example
at a node {2, 3, 3}, j = {1, 3
2, 3
2} gives σ = 19
2 and
SEn = 1.06187. At a node {2, 2, 2}, j = {1, 1, 1} gives
σ = 6, SEn = 1.09861 which is the maximal possible local
entropy.
14. Quantum walk on
spin network
(arXiv:1602.07653v1
M M Amaral,
Raymond
Aschheim and Klee
Irwin
Introduction
Particle interacting
LQG
Quantum walk
Entanglement
Entropy
A model of walker
position
topologically
encoded on spin
network
Application to
black hole
Discussion
Entropy map
→ The local entropy at each node is color coded. From
equation (15) a massless particle move on same color and a
massive particle moves along constant absolute color
differences.
15. Quantum walk on
spin network
(arXiv:1602.07653v1
M M Amaral,
Raymond
Aschheim and Klee
Irwin
Introduction
Particle interacting
LQG
Quantum walk
Entanglement
Entropy
A model of walker
position
topologically
encoded on spin
network
Application to
black hole
Discussion
Walker position topologically encoded
→ The walker position, or the presence of a particle at one
node is encoded by a triangle. Its move is a couple of 3-1
and 1-3 Pachner moves on neighbor positions, piloted by the
walk probability
16. Quantum walk on
spin network
(arXiv:1602.07653v1
M M Amaral,
Raymond
Aschheim and Klee
Irwin
Introduction
Particle interacting
LQG
Quantum walk
Entanglement
Entropy
A model of walker
position
topologically
encoded on spin
network
Application to
black hole
Discussion
Walker position topologically encoded
→ The walker position, or the presence of a particle at one
node is encoded by a triangle. Its move is a couple of 3-1
and 1-3 Pachner moves on neighbor positions, piloted by the
walk probability
17. Quantum walk on
spin network
(arXiv:1602.07653v1
M M Amaral,
Raymond
Aschheim and Klee
Irwin
Introduction
Particle interacting
LQG
Quantum walk
Entanglement
Entropy
A model of walker
position
topologically
encoded on spin
network
Application to
black hole
Discussion
Walker position topologically encoded
→ The walker position, or the presence of a particle at one
node is encoded by a triangle. Its move is a couple of 3-1
and 1-3 Pachner moves on neighbor positions, piloted by the
walk probability
18. Quantum walk on
spin network
(arXiv:1602.07653v1
M M Amaral,
Raymond
Aschheim and Klee
Irwin
Introduction
Particle interacting
LQG
Quantum walk
Entanglement
Entropy
A model of walker
position
topologically
encoded on spin
network
Application to
black hole
Discussion
Walker position topologically encoded
→ The walker position, or the presence of a particle at one
node is encoded by a triangle. Its move is a couple of 3-1
and 1-3 Pachner moves on neighbor positions, piloted by the
walk probability
19. Quantum walk on
spin network
(arXiv:1602.07653v1
M M Amaral,
Raymond
Aschheim and Klee
Irwin
Introduction
Particle interacting
LQG
Quantum walk
Entanglement
Entropy
A model of walker
position
topologically
encoded on spin
network
Application to
black hole
Discussion
Walker position topologically encoded
→ The walker position, or the presence of a particle at one
node is encoded by a triangle. Its move is a couple of 3-1
and 1-3 Pachner moves on neighbor positions, piloted by the
walk probability
20. Quantum walk on
spin network
(arXiv:1602.07653v1
M M Amaral,
Raymond
Aschheim and Klee
Irwin
Introduction
Particle interacting
LQG
Quantum walk
Entanglement
Entropy
A model of walker
position
topologically
encoded on spin
network
Application to
black hole
Discussion
Black hole isolated quantum horizons
→ We can propose that DQW is the black hole quantum
horizon, where the particle mass is the black hole mass in a
random quantum walk on a fixed spin network.
→ In the isolated quantum horizons formulation the entropy
is usually calculated by considering the eigenvalues of the
area operator A(j) and introducing an area interval
δa = [A(j) − δ, A(j) + δ] of width δ of the order of the
Planck length, with relation to the classical area a of the
horizon. A(j) is given by
A(j) = 8πγl2
ph
l
jl (jl + 1), (17)
21. Quantum walk on
spin network
(arXiv:1602.07653v1
M M Amaral,
Raymond
Aschheim and Klee
Irwin
Introduction
Particle interacting
LQG
Quantum walk
Entanglement
Entropy
A model of walker
position
topologically
encoded on spin
network
Application to
black hole
Discussion
Entropy
→ The entropy, in admensional form, is
SBH = lnN(A), (18)
with N(A) the number of microstates of quantum geometry
on the horizon (area interval a) implemented by considering
states with links sequences that implement the condition
8πγl2
ph
Na
l=1
jl (jl + 1) ≤ a, (19)
related to the area, where Na is the number of admissible j
that puncture the horizon area.
22. Quantum walk on
spin network
(arXiv:1602.07653v1
M M Amaral,
Raymond
Aschheim and Klee
Irwin
Introduction
Particle interacting
LQG
Quantum walk
Entanglement
Entropy
A model of walker
position
topologically
encoded on spin
network
Application to
black hole
Discussion
Entropy
→ Let’s investigate how the horizon area and related entropy
can be emergent from maximal entanglement entropy of a
DQW
→ Considering edge coloring, the maximal entanglement
entropy occurs for states on nodes of large valence Nmax and
sequence with jl = l
2 (l = 1, 2, ..., Nmax ). So we can rewrite
condition (19) as
Na
i=1
ai = ac, (20)
with
ac =
a
4πγl2
ph
. (21)
and each ai is calculated from
ai =
Nmax
l=1
l(l + 2), (22)
23. Quantum walk on
spin network
(arXiv:1602.07653v1
M M Amaral,
Raymond
Aschheim and Klee
Irwin
Introduction
Particle interacting
LQG
Quantum walk
Entanglement
Entropy
A model of walker
position
topologically
encoded on spin
network
Application to
black hole
Discussion
Entropy
→ And considering the dominant contributions given by the
over-estimate each ai and counting N(ac) that will give
N(A), each ai is a integer
l(l + 2) = (l + 1)2 − 1 ≈ l + 1, (23)
which means that the combinatorial problem we need to
solve is to find N(ac) such that (20) holds. With the
assumption of DQW we need at least two elements.
24. Quantum walk on
spin network
(arXiv:1602.07653v1
M M Amaral,
Raymond
Aschheim and Klee
Irwin
Introduction
Particle interacting
LQG
Quantum walk
Entanglement
Entropy
A model of walker
position
topologically
encoded on spin
network
Application to
black hole
Discussion
Entropy
So, we have to count partitions of ac in parts with 2 or more
elements. Noting that all partitions of ac + 1 in parts with 2
or more elements can be obtained from the sum of partitions
of ac and ac − 1,
N(ac + 1) = N(ac) + N(ac − 1), (24)
it is straightforward5 to see that
logN(A) =
log(φ)
πγ
a
4l2
ph
, (25)
where φ = 1+
√
5
2 is the golden ratio.
5
Because the cardinal N(ac ) of the set of ordered tuples of integers
strictly greater than 1 summing to ac is the ath
c Fibonacci number F(ac ).
25. Quantum walk on
spin network
(arXiv:1602.07653v1
M M Amaral,
Raymond
Aschheim and Klee
Irwin
Introduction
Particle interacting
LQG
Quantum walk
Entanglement
Entropy
A model of walker
position
topologically
encoded on spin
network
Application to
black hole
Discussion
Entropy
→ Bekenstein-Hawking entropy is recovered by setting the
Barbero-Immirzi parameter
γ =
log2(φ)
π
= 0.22 (26)
with agree with results from LQG.
26. Quantum walk on
spin network
(arXiv:1602.07653v1
M M Amaral,
Raymond
Aschheim and Klee
Irwin
Introduction
Particle interacting
LQG
Quantum walk
Entanglement
Entropy
A model of walker
position
topologically
encoded on spin
network
Application to
black hole
Discussion
Discussion
Results from Loop Quantum Gravity suggest the interesting
idea that we can apply the results and tools from quantum
information and quantum computation to a quantum
spacetime. This is a field of research very promising. In this
work we start a project to apply this tools like DQW to
spacetime. We considered a DQW of a quantum particle on
a quantum gravitational field and studyied applications of
related Entanglement Entropy.
27. Quantum walk on
spin network
(arXiv:1602.07653v1
M M Amaral,
Raymond
Aschheim and Klee
Irwin
Introduction
Particle interacting
LQG
Quantum walk
Entanglement
Entropy
A model of walker
position
topologically
encoded on spin
network
Application to
black hole
Discussion
Discussion
Relating this model with QuasiCrystal E8 model 6 are under
investigation: the spin network can be choosen as the dual
of a quasicrystal and the digital physics rules can be
implemented by the quantum walk.
6
F. Fang; K. Irwin,“A Chiral Icosahedral QC and its Mapping to an
E8 QC”, Aperiodic2015 poster, arXiv:1511.07786 [math.MG].
28. Quantum walk on
spin network
(arXiv:1602.07653v1
M M Amaral,
Raymond
Aschheim and Klee
Irwin
Introduction
Particle interacting
LQG
Quantum walk
Entanglement
Entropy
A model of walker
position
topologically
encoded on spin
network
Application to
black hole
Discussion
Discussion
Thank you.