English

The generalized partial transposition criterion for separability of multipartite quantum states

Quantum Physics 2009-11-07 v2

Abstract

We present a generalized partial transposition separability criterion for the density matrix of a multipartite quantum system. This criterion comprises as special cases the famous Peres-Horodecki criterion and the recent realignment criterion in [O. Rudolph, quant-ph/0202121] and [K. Chen, L.A. Wu, quant-ph/0205017]. It involves only straightforward matrix manipulations and is easy to apply. A quantitative measure of entanglement based on this criterion is also obtained.

Keywords

Cite

@article{arxiv.quant-ph/0208058,
  title  = {The generalized partial transposition criterion for separability of multipartite quantum states},
  author = {Kai Chen and Ling-An Wu},
  journal= {arXiv preprint arXiv:quant-ph/0208058},
  year   = {2009}
}

Comments

6 pages, no figures, revtex4 style. Some misprints corrected, minor modificatins to some equations for clarity

R2 v1 2026-07-22T19:35:56.249Z