We show that every Gaussian mixed quantum state can be disentangled by conjugation with a passive symplectic transformation, that is a metaplectic operator associated with a symplectic rotation. The main tools we use are the Werner–Wolf condition on covariance matrices and the symplectic covariance of Weyl quantization. Our result therefore complements a recent study by Lami, Serafini, and Adesso.

中文翻译：

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高斯量子态可以使用辛旋转解开

我们表明，每个高斯混合量子态都可以通过与被动辛变换的共轭解开，这是一个与辛旋转相关的元变算符。我们使用的主要工具是协方差矩阵上的 Werner-Wolf 条件和 Weyl 量化的辛协方差。因此，我们的结果补充了 Lami、Serafini 和 Adesso 最近的一项研究。