高斯态的局部高斯幺正操作导致的非经典性
Nonclassicality by Local Gaussian Unitary Operations for Gaussian States.
作者信息
Wang Yangyang, Qi Xiaofei, Hou Jinchuan
机构信息
Department of Mathematics, Shanxi University, Taiyuan 030006, China.
Institute of Big Data Science and Industry, Shanxi University, Taiyuan 030006, China.
出版信息
Entropy (Basel). 2018 Apr 11;20(4):266. doi: 10.3390/e20040266.
A measure of nonclassicality N in terms of local Gaussian unitary operations for bipartite Gaussian states is introduced. N is a faithful quantum correlation measure for Gaussian states as product states have no such correlation and every non product Gaussian state contains it. For any bipartite Gaussian state ρ A B , we always have 0 ≤ N ( ρ A B ) < 1 , where the upper bound 1 is sharp. An explicit formula of N for ( 1 + 1 ) -mode Gaussian states and an estimate of N for ( n + m ) -mode Gaussian states are presented. A criterion of entanglement is established in terms of this correlation. The quantum correlation N is also compared with entanglement, Gaussian discord and Gaussian geometric discord.
引入了一种基于二分高斯态的局部高斯酉运算的非经典性度量(N)。(N)是高斯态的一种忠实量子关联度量，因为乘积态没有这种关联，而每个非乘积高斯态都包含它。对于任何二分高斯态(\rho_{AB})，我们总是有(0\leq N(\rho_{AB})<1)，其中上界(1)是精确的。给出了((1 + 1))模高斯态的(N)的显式公式以及((n + m))模高斯态的(N)的估计。根据这种关联建立了一个纠缠判据。还将量子关联(N)与纠缠、高斯失协及高斯几何失协进行了比较。
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