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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV ( that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

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.

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)