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MiS Preprint

Local Unitary Equivalence of Arbitrary Dimensional Bipartite Quantum States

Chunqin Zhou, Ting-Gui Zhang, Shao-Ming Fei, Naihuan Jing and 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.

Jul 20, 2012
Aug 6, 2012
03.67.-a, 02.20.Hj, 03.65.-w

Related publications

2012 Repository Open Access
Chunqin Zhou, Ting-Gui Zhang, Shao-Ming Fei, Nai-Huan Jing and Xianqing Li-Jost

Local unitary equivalence of arbitrary dimensional bipartite quantum states

In: Physical review / A, 86 (2012) 1, 010303(R)