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arXiv · 1604.03182

Cascade and locally dissipative realizations of linear quantum systems for pure Gaussian state covariance assignment

Shan Ma·Matthew J. Woolley·Ian R. Petersen·Naoki Yamamoto
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Abstract

This paper presents two realizations of linear quantum systems for covariance assignment corresponding to pure Gaussian states. The first one is called a cascade realization; given any covariance matrix corresponding to a pure Gaussian state, we can construct a cascaded quantum system generating that state. The second one is called a locally dissipative realization; given a covariance matrix corresponding to a pure Gaussian state, if it satisfies certain conditions, we can construct a linear quantum system that has only local interactions with its environment and achieves the assigned covariance matrix. Both realizations are illustrated by examples from quantum optics.

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Shan Ma, Matthew J. Woolley, Ian R. Petersen, Naoki Yamamoto. 2016-04-12. Cascade and locally dissipative realizations of linear quantum systems for pure Gaussian state covariance assignment. https://doi.org/10.1016/j.automatica.2017.12.061

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