English

A note on generalized concurrences and entanglement detection

Quantum Physics 2008-07-23 v3

Abstract

We study generalized concurrences as a tool to detect the entanglement of bipartite quantum systems. By considering the case of 2 X 4 states of rank 2, we prove that generalized concurrences do not, in general, give a necessary and sufficient condition of separability. We identify a set of entangled states which are undetected by this method.

Keywords

Cite

@article{arxiv.0804.3620,
  title  = {A note on generalized concurrences and entanglement detection},
  author = {Laura Cattaneo and Domenico D'Alessandro},
  journal= {arXiv preprint arXiv:0804.3620},
  year   = {2008}
}

Comments

It replaces two previous versions. The new version incorporates important references on the topic. It corrects a mistake. Title has changed

R2 v1 2026-06-21T10:33:42.520Z