Local Unitary Equivalence of Multipartite Pure States

被引：104
|
作者：
Kraus, B. [1 ]
机构：
[1] Univ Innsbruck, Inst Theoret Phys, A-6020 Innsbruck, Austria
来源：
PHYSICAL REVIEW LETTERS | 2010年 / 104卷 / 02期
关键词：
SCHMIDT DECOMPOSITION; SYSTEMS; ENTANGLEMENT;
D O I：
10.1103/PhysRevLett.104.020504
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
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.
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页数：4
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