Bounds on bipartite entanglement from fixed marginals
Quantum Physics
2019-06-19 v2
Abstract
We discuss the problem of characterizing upper bounds on entanglement in a bipartite quantum system when only the reduced density matrices (marginals) are known. In particular, starting from the known two-qubit case, we propose a family of candidates for maximally entangled mixed states with respect to fixed marginals for two qudits. Interestingly, it turns out such states are always quasidistillable. Moreover, they are extremal in the convex set of two qudit states with fixed marginals. Our observations are supported by numerical analysis.
Keywords
Cite
@article{arxiv.1904.07650,
title = {Bounds on bipartite entanglement from fixed marginals},
author = {Giuseppe Baio and Dariusz Chruscinski and Pawel Horodecki and Antonino Messina and Gniewomir Sarbicki},
journal= {arXiv preprint arXiv:1904.07650},
year = {2019}
}
Comments
10 pages