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Entanglement Theory Quantum Correlations

Criterion of Local Unitary Equivalence for Multipartite States

arXiv
Authors: Ting-Gui Zhang, Ming-Jing Zhao, Ming Li, Shao-Ming Fei, Xianqing Li-Jost

Year

2013

Paper ID

32349

Status

Preprint

Abstract Read

~2 min

Abstract Words

92

Citations

N/A

Abstract

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 is also given, which makes the criterion more effective in dealing with generally degenerated mixed states.

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  • This paper contributes to the Entanglement Theory & Quantum Correlations research area in the Quantum Articles archive.
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  • We study the local unitary equivalence of arbitrary dimensional multipartite quantum mixed states.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1310.2042 [2] arXiv https://arxiv.org/abs/1310.2042 [3] Publisher https://arxiv.org/abs/1310.2042

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