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

A Complete Set of Local Invariants for a Family of Multipartite Mixed States

Xiao-Hong Wang, Shao-Ming Fei and Ke Wu


We study the equivalence of quantum states under local unitary transformations by using the singular value decomposition. A complete set of invariants under local unitary transformations is presented for several classes of tripartite mixed states in KxMxN composite systems. Two density matrices in the same class are equivalent under local unitary transformations if and only if all these invariants have equal values for these density matrices.

03.67.-a, 02.20.Hj, 03.65.-w
invariants, Local Equivalence, Multipartite

Related publications

2008 Repository Open Access
Xiao-Hong Wang, Shao-Ming Fei and Ke Wu

A complete set of local invariants for a family of multipartite mixed states

In: Journal of physics / A, 41 (2008) 2, p. 025305