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Quantum Information Processing

Necessary conditions for classifying -separability of multipartite entanglements

  • 01-07-2020
Published in:
Authors
Wen Xu
Chuan-Jie Zhu
Zhu-Jun Zheng
Shao-Ming Fei
Published in
Quantum Information Processing | Issue 7/2020

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Abstract

We study the norms of the Bloch vectors for arbitrary n-partite quantum states. A tight upper bound of the norms is derived for n-partite systems with different individual dimensions. These upper bounds are used to deal with the separability problems. Necessary conditions are presented for \(\mathbf {m}\)-separable states in n-partite quantum systems. Based on the upper bounds, classification of multipartite entanglement is illustrated with detailed examples.

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previous article Benchmarking the quantum approximate optimization algorithm
next article Partial separability/entanglement violates distributive rules
Title
Necessary conditions for classifying -separability of multipartite entanglements
Authors
Wen Xu
Chuan-Jie Zhu
Zhu-Jun Zheng
Shao-Ming Fei
Publication date
01-07-2020
Publisher
Springer US
Published in
Quantum Information Processing / Issue 7/2020
Print ISSN: 1570-0755
Electronic ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-020-02705-6
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