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

Ming-Yong Ye·Wei Jiang·Ping-Xing Chen·Yong-Sheng Zhang·Zheng-Wei Zhou·Guang-Can Guo
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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.

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Ming-Yong Ye, Wei Jiang, Ping-Xing Chen, Yong-Sheng Zhang, Zheng-Wei Zhou, Guang-Can Guo. 2008-01-07. Local Distinguishability of Orthogonal Quantum States and Generators of SU(N). https://doi.org/10.1103/physreva.76.032329

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