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arXiv quant-ph/02090482002-09quant-ph

Orthogonality And Distinguishability: Criterion For Local Distinguishability of Arbitrary Orthogonal States

Ping Xing Chen, Cheng Zu Li

备注：: Revision to appear PRA
发表信息：: Phys.Rev.A 68,062107 (2003)
DOI：: 10.1103/PhysRevA.68.062107

英文摘要：

We consider deeply the relation between the orthogonality and the distinguishability of a set of arbitrary states (including multi-partite states). It is shown that if a set of arbitrary states can be distinguished by local operations and classical communication (LOCC), \QTR{it}{\}each of the states can be written as a linear combination of product vectors such that all product vectors of one of the states are orthogonal to the other states. With this result we then prove a simple necessary condition for LOCC distinguishability of a class of orthogonal states. These conclusions may be useful in discussing the distinguishability of orthogonal quantum states further, understanding the essence of nonlocality and discussing the distillation of entanglement.

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