MiS Preprint Repository

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 Multi-qubit Mixed Quantum States

Ming Li, Ting-Gui Zhang, Shao-Ming Fei, Xianqing Li-Jost and Naihuan Jing


We present computable criterion for completely classifying multi-qubit quantum states under local unitary operations. The criterion can be used to detect whether two quantum states in multi-qubit systems are local unitary equivalent or not. Once obtaining the positive answer, we are further able to compute the corresponding unitary operators precisely. Since the scheme is based on the mean values of some quantum mechanical observables, it supplies an experimental way to judge the local equivalence of quantum states.

03.67.-a, 02.20.Hj, 03.65.-w

Related publications

2014 Repository Open Access
Ming Li, Ting-Gui Zhang, Shao-Ming Fei, Xianqing Li-Jost and Nai-Huan Jing

Local unitary equivalence of multiqubit mixed quantum states

In: Physical review / A, 89 (2014) 6, p. 062325