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MiS Preprint
109/2005
Equivalence of Tripartite Quantum States under Local Unitary Transformations
Sergio Albeverio, Laura Cattaneo, Shao-Ming Fei and Xiao-Hong Wang
Abstract
The equivalence of tripartite pure states under local unitary transformations is investigated. The nonlocal properties for a class of tripartite quantum states in $\mathbb{C}^K \otimes \mathbb{C}^M \otimes \mathbb{C}^N$ 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.
