There exist infinitely many kinds of partial separability/entanglement

DOI10.1063/5.0084613OpenAlexW4200633024MaRDI QIDQ5884317

Seung-Hyeok Kye, Kyung Hoon Han, Kil-Chan Ha

Publication date: 20 March 2023

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.05338

Mathematics Subject Classification ID

Operator spaces and completely bounded maps (46L07) Quantum measurement theory, state operations, state preparations (81P15) Algebraic systems of matrices (15A30) Complemented lattices, orthocomplemented lattices and posets (06C15) Quantum coherence, entanglement, quantum correlations (81P40)

Uses Software

• QETLAB

Cites Work

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• Bell inequalities and the separability criterion
• Completely positive linear maps on complex matrices
• Linear transformations which preserve Hermitian and positive semidefinite operators
• Partial separability/entanglement violates distributive rules
• Criteria for partial entanglement of three qubit states arising from distributive rules
• Various notions of positivity for bi-linear maps and applications to tri-partite entanglement
• Construction of multi-qubit optimal genuine entanglement witnesses
• Quantum entanglement
• Bell’s theorem without inequalities
• Separability criteria for genuine multiparticle entanglement
• The classification of multipartite quantum correlation
• Three-qubit entanglement witnesses with the full spanning properties
• On the convex cones arising from classifications of partial entanglement in the three qubit system
• Polytope structures for Greenberger–Horne–Zeilinger diagonal states ^*

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