Distinguishing arbitrary multipartite basis unambiguously using local operations and classical communication

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Journal Article
Physical Review Letters, 2007, 98 (23)
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We show that an arbitrary basis of a multipartite quantum state space consisting of K distant parties such that the kth party has local dimension dk always contains at least N=∑k=1K(dk-1)+1 members that are unambiguously distinguishable using local operations and classical communication (LOCC). We further show that 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 a locally distinguishable entangled basis. © 2007 The American Physical Society.
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