Multipartite 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: Reports on mathematical physics, 56 (2005) 3, p. 341-350
DOI number (of the published article): 10.1016/S0034-4877(05)80089-8
Keywords and phrases: tripartite quantum states, local unitary transformations, entanglement, invariants
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The equivalence problem under local unitary transformation for n-partite pure states is reduced to the one for (n-1)-partite mixed states. In particular, a tripartite system , where is a finite dimensional complex Hilbert space for j=A,B,C, is considered and a set of invariants under local transformations is introduced, which is complete for the set of states whose partial trace with respect to belongs to the class of generic mixed states.