Preprint 108/2005

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
Pages: 12
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 formula16, where formula18 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 formula22 belongs to the class of generic mixed states.

02.07.2022, 02:13