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Quantum Information Processing

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01-04-2021

Criteria for partial entanglement of three qubit states arising from distributive rules

Authors: Kyung Hoon Han, Seung-Hyeok Kye

Published in: Quantum Information Processing | Issue 4/2021

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Abstract

It is known that the partial entanglement/separability violates distributive rules with respect to the operations of taking convex hull and intersection. In this note, we give criteria for three-qubit partially entangled states arising from distributive rules, together with the corresponding witnesses. The criteria will be given in terms of diagonal and anti-diagonal entries. They actually characterize those partial entanglement completely when all the entries are zero except for diagonal and anti-diagonal entries. Important states like Greenberger–Horne–Zeilinger diagonal states fall down in this class.

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Title: Criteria for partial entanglement of three qubit states arising from distributive rules
Authors: Kyung Hoon Han
Seung-Hyeok Kye
Publication date: 01-04-2021
Publisher: Springer US
Published in: Quantum Information Processing / Issue 4/2021
Print ISSN: 1570-0755
Electronic ISSN: 1573-1332
DOI: https://doi.org/10.1007/s11128-021-03095-z

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