%0 Journal Article
%J Physical Review A
%D 2016
%T Detecting Consistency of Overlapping Quantum Marginals by Separability
%A Jianxin Chen
%A Zhengfeng Ji
%A Nengkun Yu
%A Bei Zeng
%X 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 non-trivial 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.
%B Physical Review A
%V 93
%P 032105
%8 2016/03/03
%G eng
%U http://arxiv.org/abs/1509.06591
%N 3
%R 10.1103/PhysRevA.93.032105