Understanding entanglement as resource: locally distinguishing unextendible product bases

Abstract

It is known that the states in an unextendible product basis (UPB) cannot be distinguished perfectly when the parties are restricted to local operations and classical communication (LOCC). Previous discussions of such bases have left open the following question: What entanglement resources are necessary and/or sufficient for this task to be possible with LOCC? In this paper, I present protocols which use entanglement more efficiently than teleportation to distinguish certain classes of UPB's. The ideas underlying my approach to this problem offer rather general insight into why entanglement is useful for such tasks.

Final, published version. Many revisions following very useful suggestions of the referee have been added. In particular, Appendix A has been completely rewritten

References in corpus (2)

• Multipartite Nonlocality without Entanglement in Many Dimensions
• Local distinguishability with preservation of entanglement

Cited by in corpus (22)

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• Self-testing nonlocality without entanglement
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• Alternative method for deriving nonlocal multipartite product states
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• Strong quantum nonlocality: Unextendible biseparability beyond unextendible product basis
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• Genuinely entangled subspaces beyond strongly nonlocal unextendible biseparable bases
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• Conclusive Local State Marking: More Nonlocality With No Entanglement
• Strong quantum nonlocality for multipartite entangled states