Bipartite subspaces having no LOCC-distinguishable bases

Details Bipartite subspaces having no LOCC-distinguishable bases Bipartite subspaces having no LOCC-distinguishable bases

2005-03-09

arxiv.org/abs/quant-ph/0503092v2

Physics

Quantum Physics

12 pages. Two references added in version 2

Scientific paper

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.

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