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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 (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
103/2005

A Note on Equivalence of Bipartite States under Local Unitary Transformations

Bao-Zhi Sun, Shao-Ming Fei, Xianqing Li-Jost and Zhi-Xi Wang

Abstract

The equivalence of arbitrary dimensional bipartite states under local unitary transformations (LUT) is studied. A set of invariants and ancillary invariants under LUT is presented. We show that two states are equivalent under LUT if and only if they have the same values for all of these invariants.

Received:
Nov 15, 2005
Published:
Nov 15, 2005
MSC Codes:
94A15, 62B10
PACS:
03.67.-a, 02.20.Hj, 03.65.-w
Keywords:
local unitary transformations, bipartite states, invariants

Related publications

inJournal
2006 Journal Open Access
Bao-Zhi Sun, Shao-Ming Fei, Xianqing Li-Jost and Zhi-Xi Wang

A note on equivalence of bipartite states under local unitary transformations

In: Journal of physics / A, 39 (2006) 1, L43-L47