All 2-positive linear maps from \(M_3(\mathbb{C})\) to \(M_3(\mathbb{C})\) are decomposable

DOI10.1016/j.laa.2016.03.050zbMath1383.81028arXiv1603.03534OpenAlexW2963413735MaRDI QIDQ277145

Yu Yang, Denny H. Leung, Wai-Shing Tang

Publication date: 4 May 2016

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.03534

zbMATH Keywords

decomposabilityk-positivitypositive maps between low-dimensional matrix algebrasPPT entangled statesSchmidt number

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Quantum measurement theory, state operations, state preparations (81P15) Algebraic systems of matrices (15A30)

Related Items (10)

On the separability of unitarily invariant random quantum states: the unbalanced regime ⋮ On a family of linear maps from \(M_n(\mathbb{C})\) to \(M_{n^2}(\mathbb{C})\) ⋮ Matrix analysis and quantum information ⋮ Schmidt number of bipartite and multipartite states under local projections ⋮ When do composed maps become entanglement breaking? ⋮ Mapping cone of \(k\)-entanglement breaking maps ⋮ A factorization property of positive maps on C*-algebras ⋮ Inequalities for the Schmidt number of bipartite states ⋮ Schmidt rank constraints in quantum information theory ⋮ Compositions and tensor products of linear maps between matrix algebras

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• Duality for positive linear maps in matrix algebras
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