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Local Unitary Classification of Arbitrary Dimensional Multipartite Pure States

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arxiv 1105.1517 v2 pith:IFPMTCIB submitted 2011-05-08 quant-ph hep-ph

Local Unitary Classification of Arbitrary Dimensional Multipartite Pure States

classification quant-ph hep-ph
keywords stateslocalarbitrarymultipartiteunitaryclassificationdimensionalequivalence
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We propose a practical entanglement classification scheme for general multipartite pure states in arbitrary dimensions under local unitary equivalence by exploiting the high order singular value decomposition technique and local symmetries of the states. By virtue of this scheme, the method of determining the local unitary equivalence of $n$-qubit states proposed by Kraus is extended to the case for arbitrary dimensional multipartite states.

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