A J-spectral Factorization Condition for the Physical Realizability of a Transfer Function Matrix with only Direct Feedthrough Quantum Noise

Rebbecca TY Thien; Shanon L. Vuglar; Ian R. Petersen

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arXiv · 2209.01730

A J-spectral Factorization Condition for the Physical Realizability of a Transfer Function Matrix with only Direct Feedthrough Quantum Noise

Rebbecca TY Thien·Shanon L. Vuglar·Ian R. Petersen

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Abstract

This paper gives a J-spectral factorization condition for the implementation of a strictly proper transfer function matrix as a physically realizable quantum system using only direct feedthrough quantum noise. A necessary frequency response condition is also presented. Examples are included to illustrate the main results.

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Rebbecca TY Thien, Shanon L. Vuglar, Ian R. Petersen. 2022-09-05. A J-spectral Factorization Condition for the Physical Realizability of a Transfer Function Matrix with only Direct Feedthrough Quantum Noise. https://arxiv.org/abs/2209.01730

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