Cascade and locally dissipative realizations of linear quantum systems for pure Gaussian state covariance assignment
Cascade and locally dissipative realizations of linear quantum systems for pure Gaussian state covariance assignment
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DOI：
10.1016/j.automatica.2017.12.061
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发表时间：
2016-04
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影响因子：
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通讯作者：
Shan Ma;M. Woolley;I. Petersen;N. Yamamoto
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文献类型：
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作者：
Shan Ma;M. Woolley;I. Petersen;N. Yamamoto
本文给出了两种线性量子系统的实现方法，实现了对应于纯高斯态的协方差分配。第一种被称为级联实现;给定对应于纯高斯态的任何协方差矩阵，我们可以构建一个产生该态的级联量子系统。第二种被称为局部耗散实现;给定一个对应于纯高斯态的协方差矩阵，如果它满足一定的条件，我们可以构造一个线性量子系统，它与环境只有局部相互作用，并实现指定的协方差矩阵。这两种实现都通过量子光学的例子来说明。
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.