TY - JOUR
T1 - Detecting Consistency of Overlapping Quantum Marginals by Separability
JF - Physical Review A
Y1 - 2016
A1 - Jianxin Chen
A1 - Zhengfeng Ji
A1 - Nengkun Yu
A1 - Bei Zeng
AB - 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.
VL - 93
U4 - 032105
UR - http://arxiv.org/abs/1509.06591
CP - 3
U5 - 10.1103/PhysRevA.93.032105
ER -