Detecting consistency of overlapping quantum marginals by separability
Abstract
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 wellknown k symmetric extension criterion for separability.
 Publication:

Physical Review A
 Pub Date:
 March 2016
 DOI:
 10.1103/PhysRevA.93.032105
 arXiv:
 arXiv:1509.06591
 Bibcode:
 2016PhRvA..93c2105C
 Keywords:

 Quantum Physics
 EPrint:
 Important references added. 6 pages, 3 figures