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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
77/2013

A Note on State Decomposition Independent Local Invariants

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

Abstract

We derive a set of invariants under local unitary transformations for arbitrary dimensional quantum systems. These invariants are given by hyperdeterminants and independent from the detailed pure state decompositions of a given quantum state. They also give rise to necessary conditions for the equivalence of quantum states under local unitary transformations.

Received:
14.08.13
Published:
16.08.13
PACS:
03.67.-a, 02.20.Hj, 03.65.-w

Related publications

inJournal
2013 Repository Open Access
Ting-Gui Zhang, Nai-Huan Jing, Xianqing Li-Jost, Ming-Jing Zhao and Shao-Ming Fei

A note on state decomposition independent local invariants

In: The European physical journal / D, 67 (2013) 8, p. 175