Equivalence of Tripartite Quantum States under Local Unitary Transformations

Details Equivalence of Tripartite Quantum States under Local Unitary Transformations Equivalence of Tripartite Quantum States under Local Unitary Transformations

2005-12-29

arxiv.org/abs/quant-ph/0512246v1

International Journal of Quantum Information, Vol. 3, No. 4 (2005) 603-609

Physics

Quantum Physics

7 pages

Scientific paper

The equivalence of tripartite pure states under local unitary transformations is investigated. The nonlocal properties for a class of tripartite quantum states in $\Cb^K \otimes \Cb^M \otimes \Cb^N$ 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.

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