Convex cones in mapping spaces between matrix algebras

DOI10.1016/j.laa.2020.09.008zbMath1478.15022arXiv2002.09614OpenAlexW3084054322MaRDI QIDQ2226432

Erling Størmer, Seung-Hyeok Kye, Mark Girard

Publication date: 12 February 2021

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

Full work available at URL: https://arxiv.org/abs/2002.09614

zbMATH Keywords

dualitytensor productsSchmidt numberpositive mapsmapping conesentanglement breakingblockpositive matricesPPT-square conjecturesuperpositive maps

Mathematics Subject Classification ID

Positive matrices and their generalizations; cones of matrices (15B48) Operator spaces and completely bounded maps (46L07) General theory of (C^*)-algebras (46L05) Quantum measurement theory, state operations, state preparations (81P15) Algebraic systems of matrices (15A30) Quantum information, communication, networks (quantum-theoretic aspects) (81P45)

Related Items

Choi matrices revisited ⋮ The \(\mathrm{PPT}^2\) conjecture holds for all Choi-type maps ⋮ Choi matrices revisited. II ⋮ Compositions and tensor products of linear maps between matrix algebras

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