On the Chernoff distance for asymptotic LOCC discrimination of bipartite quantum states

William Matthews, Andreas Winter

Publikation: Beitrag in FachzeitschriftArtikelBegutachtung

21 Zitate (Scopus)

Abstract

Motivated by the recent discovery of a quantum Chernoff theorem for asymptotic state discrimination, we investigate the distinguishability of two bipartite mixed states under the constraint of local operations and classical communication (LOCC), in the limit of many copies. While for two pure states a result of Walgate et al. shows that LOCC is just as powerful as global measurements, data hiding states (DiVincenzo et al.) show that locality can impose severe restrictions on the distinguishability of even orthogonal states. Here we determine the optimal error probability and measurement to discriminate many copies of particular data hiding states (extremal d × d Werner states) by a linear programming approach. Surprisingly, the single-copy optimal measurement remains optimal for n copies, in the sense that the best strategy is measuring each copy separately, followed by a simple classical decision rule. We also put a lower bound on the bias with which states can be distinguished by separable operations.

OriginalspracheEnglisch
Seiten (von - bis)161-174
Seitenumfang14
FachzeitschriftCommunications in Mathematical Physics
Jahrgang285
Ausgabenummer1
DOIs
PublikationsstatusVeröffentlicht - Jan. 2009
Extern publiziertJa

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