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Open Quantum Systems Decoherence

Direct and Indirect Couplings in Coherent Feedback Control of Linear Quantum Systems

arXiv
Authors: Guofeng Zhang, Matthew R. James

Year

2010

Paper ID

10761

Status

Preprint

Abstract Read

~2 min

Abstract Words

98

Citations

N/A

Abstract

The purpose of this paper is to study and design direct and indirect couplings for use in coherent feedback control of a class of linear quantum stochastic systems. A general physical model for a nominal linear quantum system coupled directly and indirectly to external systems is presented. Fundamental properties of stability, dissipation, passivity, and gain for this class of linear quantum models are presented and characterized using complex Lyapunov equations and linear matrix inequalities (LMIs). Coherent Hinfty and LQG synthesis methods are extended to accommodate direct couplings using multistep optimization. Examples are given to illustrate the results.

Why This Paper Matters

  • This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
  • It adds a 2010 reference point for readers tracking recent quantum research.
  • The purpose of this paper is to study and design direct and indirect couplings for use in coherent feedback control of a class of linear quantum stochastic systems.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1010.4369 [2] arXiv https://arxiv.org/abs/1010.4369 [3] Publisher https://arxiv.org/abs/1010.4369

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