A Note on Equivalence of Bipartite States under Local Unitary Transformations

Bao-Zhi Sun, Shao-Ming Fei, Xianqing Li-Jost, and Zhi-Xi Wang

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Submission date: 15. Nov. 2005
Pages: 8
published in: Journal of physics / A, 39 (2006) 1, p. L43-L47 
DOI number (of the published article): 10.1088/0305-4470/39/1/L06
Bibtex
MSC-Numbers: 94A15, 62B10
PACS-Numbers: 03.67.-a, 02.20.Hj, 03.65.-w
Keywords and phrases: local unitary transformations, bipartite states, invariants
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Abstract:
The equivalence of arbitrary dimensional bipartite states under local unitary transformations (LUT) is studied. A set of invariants and ancillary invariants under LUT is presented. We show that two states are equivalent under LUT if and only if they have the same values for all of these invariants.