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

Authors :
Han, Kyung Hoon
Kye, Seung-Hyeok
Source :
Quantum Information Processing; Apr2021, Vol. 20 Issue 4, p1-27, 27p
Publication Year :
2021

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. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
WITNESSES
QUBITS

Details

Language :
English
ISSN :
15700755
Volume :
20
Issue :
4
Database :
Complementary Index
Journal :
Quantum Information Processing
Publication Type :
Academic Journal
Accession number :
150341002
Full Text :
https://doi.org/10.1007/s11128-021-03095-z