Local Distinguishability of Orthogonal Quantum States and Generators of SU(N)
Quantum Physics
2009-11-13 v2
Abstract
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.
Keywords
Cite
@article{arxiv.quant-ph/0608040,
title = {Local Distinguishability of Orthogonal Quantum States and Generators of SU(N)},
author = {Ming-Yong Ye and Wei Jiang and Ping-Xing Chen and Yong-Sheng Zhang and Zheng-Wei Zhou and Guang-Can Guo},
journal= {arXiv preprint arXiv:quant-ph/0608040},
year = {2009}
}
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some discussions added