Local Unitary Equivalence of Arbitrary Dimensional Bipartite Quantum States

Chunqin Zhou, Ting-Gui Zhang, Shao-Ming Fei, Naihuan Jing, and Xianqing Li-Jost

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Submission date: 20. Jul. 2012
Pages: 7
published in: Physical review / A, 86 (2012) 1, art-no. 010303(R) 
DOI number (of the published article): 10.1103/PhysRevA.86.010303
Bibtex
PACS-Numbers: 03.67.-a, 02.20.Hj, 03.65.-w
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Abstract:
The nonlocal properties of arbitrary dimensional bipartite quantum systems are investigated. A complete set of invariants under local unitary transformations is presented. These invariants give rise to both sufficient and necessary conditions for the equivalence of quantum states under local unitary transformations: two density matrices are locally equivalent if and only if all these invariants have equal values.