01164nas a2200169 4500008004100000245007500041210006900116260001500185300001100200490000700211520067400218100001800892700001800910700001600928700001400944856003600958 2016 eng d00aDetecting Consistency of Overlapping Quantum Marginals by Separability0 aDetecting Consistency of Overlapping Quantum Marginals by Separa c2016/03/03 a0321050 v933 a 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.
1 aChen, Jianxin1 aJi, Zhengfeng1 aYu, Nengkun1 aZeng, Bei uhttp://arxiv.org/abs/1509.06591