Classification of Arbitrary Multipartite Entangled States under Local Unitary Equivalence

Details Classification of Arbitrary Multipartite Entangled States under Local Unitary Equivalence Classification of Arbitrary Multipartite Entangled States under Local Unitary Equivalence

2011-11-18

arxiv.org/abs/1111.4379v1

Physics

Quantum Physics

20 pages

Scientific paper

We present a practical method for finding the canonical forms of arbitrary dimensional multipartite entangled states, either pure or mixed. By extending the technique developed in one of our recent works, the canonical forms for arbitrary mixed multipartite entangled states are constructed, which may inherit local symmetries from the $N+1$ pure states. A systematic scheme to express the local symmetries of the canonical form is proposed, that provides a feasible way to verify the local unitary equivalence for two multipartite entangled states.

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