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

Equivalence of Tripartite Quantum States under Local Unitary Transformations

Sergio Albeverio, Laura Cattaneo, Shao-Ming Fei and Xiao-Hong Wang


The equivalence of tripartite pure states under local unitary transformations is investigated. The nonlocal properties for a class of tripartite quantum states in $\mathbb{C}^K \otimes \mathbb{C}^M \otimes \mathbb{C}^N$ composite systems are investigated and a complete set of invariants under local unitary transformations for these states is presented. It is shown that two of these states are locally equivalent if and only if all these invariants have the same values.

03.67.-a, 02.20.Hj, 03.65.-w
tripartite quantum states, local unitary transformation, entanglement, invariants

Related publications

2005 Repository Open Access
Sergio Albeverio, Laura Cattaneo, Shao-Ming Fei and Xiao-Hong Wang

Equivalence of tripartite quantum states under local unitary transformations

In: International journal of quantum information, 3 (2005) 4, pp. 603-609