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Local Unitary Equivalence of Arbitrary Dimensional Bipartite Mixed Quantum States (1207.2688v1)
Published 11 Jul 2012 in quant-ph
Abstract: The nonlocal properties of arbitrary dimensional bipartite quantum systems are investigated. A complete set of invariants under local unitary transformations is presented. These invariants give rise to both sufficient and necessary conditions for the equivalence of quantum states under local unitary transformations: two density matrices are locally equivalent if and only if all these invariants have equal values.