Equivalence of Tripartite Quantum States under Local Unitary Transformations
Sergio Albeverio, Laura Cattaneo, Shao-Ming Fei, and Xiao-Hong Wang
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Submission date: 25. Nov. 2005
published in: International journal of quantum information, 3 (2005) 4, p. 603-609
DOI number (of the published article): 10.1142/S0219749905001481
PACS-Numbers: 03.67.-a, 02.20.Hj, 03.65.-w
Keywords and phrases: tripartite quantum states, local unitary transformation, entanglement, invariants
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The equivalence of tripartite pure states under local unitary transformations is investigated. The nonlocal properties for a class of tripartite quantum states in composite systems are investigated and a complete set of invariants under local unitary transformations for these states is presented. It is shown that two of these states are locally equivalent if and only if all these invariants have the same values.