Publications
2005
Issue 108

MiS Preprint Repository

We have decided to discontinue the publication of preprints on our preprint server end of 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) 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

108/2005

Multipartite States under Local Unitary Transformations

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

Abstract

The equivalence problem under local unitary transformation for $n$ --partite pure states is reduced to the one for $(n - 1)$ --partite mixed states. In particular, a tripartite system $H_{A} \otimes H_{B} \otimes H_{C}$ , where $H_{j}$ is a finite dimensional complex Hilbert space for $j = A, B, C$ , is considered and a set of invariants under local transformations is introduced, which is complete for the set of states whose partial trace with respect to $H_{A}$ belongs to the class of generic mixed states.

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Received:: 25.11.05

Published:: 25.11.05

Keywords:: tripartite quantum states, local unitary transformations, entanglement, invariants

Related publications

inJournal

2005 Repository Open Access

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

Multipartite states under local unitary transformations

In: Reports on mathematical physics, 56 (2005) 3, pp. 341-350

BibTex DOI: 10.1016/S0034-4877(05)80089-8