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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.
Criterion of Local Unitary Equivalence for Multipartite States
Ting-Gui Zhang, Ming-Jing Zhao, Ming Li, Shao-Ming Fei and Xianqing Li-JostAbstract
We study the local unitary equivalence of arbitrary dimensional multipartite quantum mixed states. We present a necessary and sufficient criterion of the local unitary equivalence for general multipartite states based on matrix realignment. The criterion is shown to be operational even for particularly degenerated states by detailed examples. Besides, explicit expressions of the local unitary operators are constructed for locally equivalent states. In complement to the criterion, an alternative approach based on partial transposition of matrices are also given, which makes the criterion more effective in dealing with generally degenerated mixed states.
- Received:
- 14.08.13
- Published:
- 16.08.13
- PACS:
- 03.67.-a, 02.20.Hj, 03.65.-w