English

A bipartite separable ball and its applications

Quantum Physics 2015-09-02 v1

Abstract

In this paper, based on a matrix norm, we first present a ball of separable unnormalized states around the identity matrix for the bipartite quantum system, which is larger than the separable ball in Frobenius norm. Then the proposed ball is used to get not only simple sufficient conditions for the separability of pseudopure states and the states with strong positive partial transposes, but also a separable ball centered at the identity matrix for the multipartite quantum system.

Keywords

Cite

@article{arxiv.1509.00086,
  title  = {A bipartite separable ball and its applications},
  author = {Shu-Qian Shen and Ming Li and Lei Li},
  journal= {arXiv preprint arXiv:1509.00086},
  year   = {2015}
}
R2 v1 2026-06-22T10:45:52.773Z