Various notions of positivity for bi-linear maps and applications to tri-partite entanglement

DOI10.1063/1.4931059zbMath1332.81023arXiv1503.05995OpenAlexW3099571670MaRDI QIDQ2786610

Kyung Hoon Han, Seung-Hyeok Kye

Publication date: 15 February 2016

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

Full work available at URL: https://arxiv.org/abs/1503.05995

Mathematics Subject Classification ID

Operator spaces and completely bounded maps (46L07) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07) Quantum coherence, entanglement, quantum correlations (81P40)

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There exist infinitely many kinds of partial separability/entanglement ⋮ Schmidt number of bipartite and multipartite states under local projections ⋮ Choi matrices revisited. II ⋮ The role of phases in detecting three-qubit entanglement ⋮ Criteria for partial entanglement of three qubit states arising from distributive rules ⋮ Separability criterion for three-qubit states with a four dimensional norm ⋮ Separability of three qubit Greenberger–Horne–Zeilinger diagonal states ⋮ Separability of multi-qubit states in terms of diagonal and anti-diagonal entries ⋮ Indecomposable exposed positive bi-linear maps between two by two matrices ⋮ Positive maps and trace polynomials from the symmetric group ⋮ Compositions and tensor products of linear maps between matrix algebras ⋮ On the convex cones arising from classifications of partial entanglement in the three qubit system

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