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

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

2002-09-06

arxiv.org/abs/quant-ph/0209048v5

Phys.Rev.A 68,062107 (2003)

Physics

Quantum Physics

Revision to appear PRA

Scientific paper

10.1103/PhysRevA.68.062107

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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