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Quantum Information Processing
Published in: Quantum Information Processing 1/2020

01-01-2020

Separability criteria based on Bloch representation of density matrices

Authors: Hui Zhao, Mei-Ming Zhang, NaiHuan Jing, Zhi-Xi Wang

Published in: Quantum Information Processing | Issue 1/2020

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Abstract

We study separability criteria in multipartite quantum systems of arbitrary dimensions by using the Bloch representation of density matrices. We first derive the norms of the correlation tensors and obtain the necessary conditions for separability under partition of tripartite and four-partite quantum states. Moreover, based on the norms of the correlation tensors, we obtain the separability criteria by matrix method. Using detailed examples, our results are seen to be able to detect more entangled states than previous studies. Finally, necessary conditions of separability for multipartite systems are given under arbitrary partition.
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Metadata
Title
Separability criteria based on Bloch representation of density matrices
Authors
Hui Zhao
Mei-Ming Zhang
NaiHuan Jing
Zhi-Xi Wang
Publication date
01-01-2020
Publisher
Springer US
Published in
Quantum Information Processing / Issue 1/2020
Print ISSN: 1570-0755
Electronic ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-019-2504-2

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