Chunqin Zhou, Tinggui Zhang, Shao-Ming Fei, Naihuan Jing, Xianqing Li-Jost
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.
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http://arxiv.org/abs/1207.2688
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