Separability criteria based on Bloch representation of density matrices
- URL: http://arxiv.org/abs/2004.11525v1
- Date: Fri, 24 Apr 2020 04:11:54 GMT
- Title: Separability criteria based on Bloch representation of density matrices
- Authors: Hui Zhao, Mei-Ming Zhang, Naihuan Jing, Zhi-Xi Wang
- Abstract summary: 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.
Using detailed examples, our results are seen to be able to detect more entangled states than previous studies.
- Score: 1.4550422197805504
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- 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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