English

Bipartite subspaces having no LOCC-distinguishable bases

Quantum Physics 2013-05-29 v2

Abstract

It is proved that there exist subspaces of bipartite tensor product spaces that have no orthonormal bases that can be perfectly distinguished by means of LOCC protocols. A corollary of this fact is that there exist quantum channels having sub-optimal classical capacity even when the receiver may communicate classically with a third party that represents the channel's environment.

Keywords

Cite

@article{arxiv.quant-ph/0503092,
  title  = {Bipartite subspaces having no LOCC-distinguishable bases},
  author = {John Watrous},
  journal= {arXiv preprint arXiv:quant-ph/0503092},
  year   = {2013}
}

Comments

12 pages. Two references added in version 2