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arXiv · 1511.04929

Linear quantum systems with diagonal passive Hamiltonian and a single dissipative channel

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

Given any covariance matrix corresponding to a so-called pure Gaussian state, a linear quantum system can be designed to achieve the assigned covariance matrix. In most cases, however, one might obtain a system that is difficult to realize in practice. In this paper, we restrict our attention to a special class of linear quantum systems, i.e., systems with diagonal passive Hamiltonian and a single dissipative channel. The practical implementation of such a system would be relatively simple. We then parametrize the class of pure Gaussian state covariance matrices that can be achieved by this particular type of linear quantum system.

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Shan Ma, Ian R. Petersen, Matthew J. Woolley. 2017-04-05. Linear quantum systems with diagonal passive Hamiltonian and a single dissipative channel. https://doi.org/10.1016/j.sysconle.2016.11.013

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