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dc.titleOn the Chernoff distance for asymptotic LOCC discrimination of bipartite quantum states
dc.contributor.authorMatthews, W.
dc.contributor.authorWinter, A.
dc.identifier.citationMatthews, W., Winter, A. (2008). On the Chernoff distance for asymptotic LOCC discrimination of bipartite quantum states. 2008 IEEE Information Theory Workshop, ITW : 364-367. ScholarBank@NUS Repository.
dc.description.abstractMotivated 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 x 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. This is a shortened version of a paper [1] recently submitted to Communications in Mathematical Physics; here the proofs have been omitted. ©2008 IEEE.
dc.typeConference Paper
dc.contributor.departmentCENTRE FOR QUANTUM TECHNOLOGIES
dc.description.sourcetitle2008 IEEE Information Theory Workshop, ITW
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