Local Unitary Equivalence of Multipartite Pure States
Local Unitary Equivalence of Multipartite Pure States
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DOI：
10.1103/physrevlett.104.020504
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发表时间：
2010-01-15
影响因子：
8.6
通讯作者：
Kraus, B.
中科院分区：
文献类型：
--
作者：
Kraus, B.
给出了任意n比特纯量子态在局域幺正（LU）操作下等价的充要条件。首先，介绍了一种易于计算的多体态的标准形式。两个通用状态被证明是LU等价的，当且仅当它们的标准形式一致。非通用状态的LU等价问题的解决，提出了一个系统的方法来确定LU运营商（如果它们存在），这两个国家的相互转换。
Necessary and sufficient conditions for the equivalence of arbitrary n-qubit pure quantum states under local unitary (LU) operations are derived. First, an easily computable standard form for multipartite states is introduced. Two generic states are shown to be LU equivalent iff their standard forms coincide. The LU-equivalence problem for nongeneric states is solved by presenting a systematic method to determine the LU operators (if they exist) which interconvert the two states.