Detecting consistency of overlapping quantum marginals by separability
Detecting consistency of overlapping quantum marginals by separability
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DOI：
10.1103/physreva.93.032105
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发表时间：
2015-09
影响因子：
2.9
通讯作者：
Jianxin Chen;Zhengfeng Ji;Nengkun Yu;B. Zeng
中科院分区：
文献类型：
--
作者：
Jianxin Chen;Zhengfeng Ji;Nengkun Yu;B. Zeng
量子边际问题询问一组给定的密度矩阵是否一致，即，它们是否可以是整体量子态的约化密度矩阵。一般来说，没有多少非平凡的解析必要（或充分）条件是已知的。我们提出了一种方法来检测重叠的量子边缘的一致性，通过考虑一些派生状态的可分性。我们的方法适用于$k$-对称扩展问题一般和一般重叠的边缘问题在某些情况下。我们的工作是，在某种意义上说，匡威著名的$k$-对称扩张准则的可分性。
The quantum marginal problem asks whether a set of given density matrices are consistent, i.e., whether they can be the reduced density matrices of a global quantum state. Not many nontrivial analytic necessary (or sufficient) conditions are known for the problem in general. We propose a method to detect consistency of overlapping quantum marginals by considering the separability of some derived states. Our method works well for the $k$-symmetric extension problem in general and for the general overlapping marginal problems in some cases. Our work is, in some sense, the converse to the well-known $k$-symmetric extension criterion for separability.