Synthesis of linear quantum stochastic systems via quantum feedback networks
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1. The document outlines a method for synthesizing linear quantum stochastic systems using quantum feedback networks. Small time delays allow approximating direct interactions with field-mediated interactions. 2. As an example, a quantum optical circuit is synthesized based on earlier work. Components are interconnected to approximate a desired system dynamics for small time delays. 3. In conclusion, linear quantum systems can be approximately synthesized by quantum feedback networks for small time delays, using field-mediated interactions to simulate direct interactions. Additional results are available in another paper.
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Computation of electromagnetic fields scattered from dielectric objects of un...
Computation of electromagnetic fields scattered from dielectric objects of un...Alexander Litvinenko
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The \CMLMC method optimally balances statistical errors due to sampling of
the parametric space, and numerical errors due to the discretization of the geometry using a hierarchy of discretizations, from coarse to fine.
The number of realizations of finer discretizations can be kept low, with most samples
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ESSEC workshop on "Monte Carlo methods and approximate dynamic programming with applications in finance", Paris, October 2019.
Rdnd2008
This document discusses the emergence of chimera states, a unique collective state where coherent and incoherent dynamics coexist, in a system of non-locally coupled phase oscillators with propagation delays. It presents the complex Ginzburg-Landau equation (CGLE) model of reaction-diffusion systems and derives a phase reduction with propagation time delays. Numerical simulations and solutions to the self-consistency equation validate the existence of chimera clusters induced by time delays.
Adc
This document discusses the emergence of chimera states, a unique collective state where coherent and incoherent dynamics coexist, in a system of non-locally coupled phase oscillators with propagation delays. It presents the complex Ginzburg-Landau equation (CGLE) model of reaction-diffusion systems and derives a phase reduction with propagation time delays. Numerical simulations and solutions to the self-consistency equation reveal chimera cluster states induced by the time delays.
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みなさんこんにちはこれ何文字まで入るの？40文字以下不可とか本当に意味わからないけどこれ限界文字数書いてないからマジでやばい文字数いけるんじゃないの？えこ...
ここ3000字までしか入らないけどタイトルの方がたくさん文字入ると思います。
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みなさんこんにちはこれ何文字まで入るの？40文字以下不可とか本当に意味わからないけどこれ限界文字数書いてないからマジでやばい文字数いけるんじゃないの？えこ...
みなさんこんにちはこれ何文字まで入るの？40文字以下不可とか本当に意味わからないけどこれ限界文字数書いてないからマジでやばい文字数いけるんじゃないの？えこ...
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Synthesis of linear quantum stochastic systems via quantum feedback networks
- 1. Hendra I. Nurdin (ANU) TexPoint fonts used in EMF. Read the TexPoint manual before you delete this box.: A A
- 4. Linear quantum stochastic systems x = ( q 1 ,p 1 ,q 2 ,p 2 ,…, q n ,p n ) T A 1 = w 1 +iw 2 A 2 = w 3 +iw 4 A m =w 2m-1 +iw 2m Y 1 = y 1 + i y 2 Y 2 = y 3 + i y 4 Y m’ = y 2m’-1 + i y 2m’ S Quadratic Hamiltonian Linear coupling operator Scattering matrix S B 1 B 2 B m
- 11. Model matrix
- 12. Concatenated model matrix In channel 1 In channel 2 Out channel 1 Out channel 2
- 13. Connecting input and output, and reduced Markov model (Out channel 1 connected to In channel 2) (Series product) Gough & James, Comm. Math. Phys. , 287, pp. 1109–1132, 2009; IEEE-TAC , 54(11), pp. 2530–2544, 2009
- 18. Synthesis example Quantum optical circuit based on Nurdin, James & Doherty, SIAM J. Control. Optim., 48(4), pp. 2686–2718, 2009.
- 20. That’s all folks THANK YOU FOR LISTENING!
- 21. From linear quantum stochastic systems to cavity QED systems Linear quantum stochastic system Cavity QED system
Editor's Notes
- I am now going to introduce a class of quantum systems that are called linear quantum stochastic systems, these types of systems appear in quantum optics. Starting with a very simple example of such a system: An optical cavity (explain optical cavity).
- More general linear quantum stochastic systems are as shown in the following. Explain figure, especially quadratures of A i . Some outputs may be ignored, thus number of outputs need not be equal to the number of outputs
- Port strategy from classical network synthesis
- Spare slide, whip out for any necessary additional explanations