Local distinguishability of orthogonal quantum states and generators of SU( N )
Local distinguishability of orthogonal quantum states and generators of SU( N )
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DOI：
10.1103/physreva.76.032329
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发表时间：
2006-08
影响因子：
2.9
通讯作者：
M. Ye;Wei Jiang;Pingxing Chen;Yong-Sheng Zhang;Zheng-Wei Zhou;G. Guo
中科院分区：
文献类型：
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作者：
M. Ye;Wei Jiang;Pingxing Chen;Yong-Sheng Zhang;Zheng-Wei Zhou;G. Guo
研究了利用局域操作和经典通信区分一组相互正交的多体量子态的可能性。我们把这个问题与SU（N）的生成元联系起来，并提出了一个条件，这是一组正交态局部可区分的必要条件。我们表明，即使在多体的情况下，存在一个系统的方法来检查所提出的条件是否满足一组给定的正交状态。基于所提出的检验方法，我们发现LOCC不能区分三个相互正交的态，其中两个是Greenberger-Horne-Zeilinger类态。
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.