Local distinguishability of orthogonal quantum states and generators of SU(N)

Journal Article · Sat Sep 15 00:00:00 EDT 2007 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.76.032329· OSTI ID:21015960

Mingyong, Ye ^[1]; Wei, Jiang; Yongsheng, Zhang; Zhengwei, Zhou; Guangcan, Guo ^[1]; Pingxing, Chen ^[2]

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1. Key Laboratory of Quantum Information, Department of Physics, University of Science and Technology of China, Hefei 230026 (China)
2. Department of Applied Physics, National University of Defense Technology, Changsha 410073 (China)

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 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 Greenberger-Horne-Zeilinger-like states.

• OSTI ID: 21015960
• Journal Information: Physical Review. A, Vol. 76, Issue 3; Other Information: DOI: 10.1103/PhysRevA.76.032329; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
• Country of Publication: United States
• Language: English

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