TY - JOUR AB - © 2016 American Physical Society. 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. AU - Chen, J AU - Ji, Z AU - Yu, N AU - Zeng, B DA - 2016/03/03 DO - 10.1103/PhysRevA.93.032105 JO - Physical Review A PY - 2016/03/03 TI - Detecting consistency of overlapping quantum marginals by separability VL - 93 Y1 - 2016/03/03 Y2 - 2024/03/28 ER -