Local Distinguishability of Orthogonal Quantum States and Generators of SU(N)

Details Local Distinguishability of Orthogonal Quantum States and Generators of SU(N) Local Distinguishability of Orthogonal Quantum States and Generators of SU(N)

2006-08-04

arxiv.org/abs/quant-ph/0608040v2

PHYSICAL REVIEW A 76, 032329 (2007)

Physics

Quantum Physics

some discussions added

Scientific paper

10.1103/PhysRevA.76.032329

We investigate the possibility of distinguishing a set of mutually orthogonal multipartite quantum states by local operations and classical communication (LOCC). We connect this problem with generators of SU(N) and present a new condition that is necessary for a set of orthogonal states to be locally distinguishable. We show that even in multipartite cases there exists a systematic way to check whether the presented condition is satisfied for a given set of orthogonal states. Based on the proposed checking method, we find that LOCC cannot distinguish three mutually orthogonal states in which two of them are GHZ-like states.

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