Distinguishing Arbitrary Multipartite Basis Unambiguously Using Local Operations and Classical Communication

Details Distinguishing Arbitrary Multipartite Basis Unambiguously Using Local Operations and Classical Communication Distinguishing Arbitrary Multipartite Basis Unambiguously Using Local Operations and Classical Communication

2006-12-05

arxiv.org/abs/quant-ph/0612034v4

Phys. Rev. Lett. 98, 230502 (2007)

Physics

Quantum Physics

4 pages (and a bit more, in RevTex4), no figures. A typographical error in Ref. [16] was corrected. Main results unchanged. Th

Scientific paper

10.1103/PhysRevLett.98.230502

We show that an arbitrary basis of a multipartite quantum state space consisting of $K$ distant parties such that the $k$th party has local dimension $d_k$ always contains at least $N=\sum_{k=1}^K (d_k-1)+1$ members that are unambiguously distinguishable using local operations and classical communication (LOCC). We further show this lower bound is optimal by analytically constructing a special product basis having only $N$ members unambiguously distinguishable by LOCC. Interestingly, such a special product basis not only gives a stronger form of the weird phenomenon ``nonlocality without entanglement", but also implies the existence of locally distinguishable entangled basis.

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