Testing for a pure state with local operations and classical communication

Details Testing for a pure state with local operations and classical communication Testing for a pure state with local operations and classical communication

2009-06-12

arxiv.org/abs/0906.2382v2

Journal of Mathematical Physics vol 51 (2010) 042102

Physics

Quantum Physics

11 pages, 2 figures. Published version with small revisions and expanded title.

Scientific paper

10.1063/1.3299294

We examine the problem of using local operations and classical communication (LOCC) to distinguish a known pure state from an unknown (possibly mixed) state, bounding the error probability from above and below. We study the asymptotic rate of detecting multiple copies of the pure state and show that, if the overlap of the two states is great enough, then they can be distinguished asymptotically as well with LOCC as with global measurements; otherwise, the maximal Schmidt coefficient of the pure state is sufficient to determine the asymptotic error rate.

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