English

Construction of Bound Entangled States Based on Permutation Operators

Quantum Physics 2016-04-12 v1

Abstract

We present a construction of new bound entangled states from given bound entangled states for arbitrary dimensional bipartite systems. One way to construct bound entangled states is to show that these states are PPT (positive partial transpose) and violate the range criterion at the same time. By applying certain operators to given bound entangled states or to one of the subsystems of the given bound entangled states, we obtain a set of new states which are both PPT and violate the range criterion. We show that the derived bound entangled states are not local unitary equivalent to the original bound entangled states by detail examples.

Keywords

Cite

@article{arxiv.1602.05403,
  title  = {Construction of Bound Entangled States Based on Permutation Operators},
  author = {Hui Zhao and Sha Guo and Naihuan Jing and Shaoming Fei},
  journal= {arXiv preprint arXiv:1602.05403},
  year   = {2016}
}

Comments

11 pages, Quantum Inf Process,2016

R2 v1 2026-06-22T12:52:10.127Z