Detecting consistency of overlapping quantum marginals by separability

@article{Chen2016DetectingCO,
  title={Detecting consistency of overlapping quantum marginals by separability},
  author={Jianxin Chen and Zheng-Feng Ji and Nengkun Yu and B. Zeng},
  journal={Physical Review A},
  year={2016},
  volume={93},
  pages={032105}
}
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… Expand

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