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Quantum Information Processing

Partial separability/entanglement violates distributive rules

  • 01-07-2020
Published in:
Authors
Kyung Hoon Han
Seung-Hyeok Kye
Szilárd Szalay
Published in
Quantum Information Processing | Issue 7/2020

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Abstract

We found three qubit Greenberger–Horne–Zeilinger diagonal states which tell us that the partial separability of three qubit states violates the distributive rules with respect to the two operations of convex sum and intersection. The gaps between the convex sets involving the distributive rules are of nonzero volume.

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previous article Necessary conditions for classifying -separability of multipartite entanglements
next article Correlance and discordance: computable measures of nonlocal correlation
Title
Partial separability/entanglement violates distributive rules
Authors
Kyung Hoon Han
Seung-Hyeok Kye
Szilárd Szalay
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/s11128-020-02710-9
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