Typical entanglement for Gaussian states
Typical entanglement for Gaussian states
复制标题
高斯态的典型纠缠
DOI：
10.1063/1.5119950
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发表时间：
2019
影响因子：
1.3
通讯作者：
Robert Koenig
中科院分区：
文献类型：
--
作者：
M. Fukuda;Robert Koenig
我们考虑的二分态的合奏从一个随机被动高斯幺正应用到一个基准纯高斯状态。我们发现，约化密度算符的辛谱集中在具有相同能量的热态的辛谱附近。这意味着，特别是，纠缠熵的浓度以及其他熵的措施。我们的工作扩展了早期关于纠缠的典型性的结果，超出了[A.塞拉菲尼岛C. O. Dahlsten，D. Gross和M. B。Plenio，J. Phys. A：Math. Theor.，40（31）：9551（2007）]。
We consider ensembles of bipartite states resulting from a random passive Gaussian unitary applied to a fiducial pure Gaussian state. We show that the symplectic spectra of the reduced density operators concentrate around that of a thermal state with the same energy. This implies, in particular, concentration of the entanglement entropy as well as other entropy measures. Our work extends earlier results on the typicality of entanglement beyond the two ensembles and the reduced purity measure considered in [A. Serafini, O. C. O. Dahlsten, D. Gross, and M. B. Plenio, J. Phys. A: Math. Theor., 40(31):9551 (2007)].