Entangleability of cones

DOI10.1007/s00039-021-00565-5zbMath1475.15034arXiv1911.09663OpenAlexW3163420609MaRDI QIDQ2041861

Ludovico Lami, Guillaume Aubrun, Carlos Palazuelos, Martin Plávala

Publication date: 26 July 2021

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.09663

zbMATH Keywords

general probabilistic theoriesentangleabilitytensor product of cones

Mathematics Subject Classification ID

Vector and tensor algebra, theory of invariants (15A72) Positive matrices and their generalizations; cones of matrices (15B48) Multilinear algebra, tensor calculus (15A69) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Convex sets and cones of operators (47L07) Quantum state spaces, operational and probabilistic concepts (81P16)

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Cites Work

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• Tensor products of function systems revisited
• Some new results on smoothness and rotundity in normed linear spaces
• Theory of cones
• The structure of cones of matrices
• On non-semisplit extensions, tensor products and exactness of group \(C^*\)-algebras
• Minimal and maximal matrix convex sets
• Universal gaps for XOR games from estimates on tensor norm ratios
• Structure in simplexes
• Tensor products of compact convex stes
• A note on non-commutative polytopes and polyhedra
• Monotone norms and tensor products
• Cones in the Tensor Product of Locally Convex Lattices
• Some results of polyhedral cones and simplicial cones
• Lectures on Polytopes
• Tensor Products of <I>C</I>*-Algebras and Operator Spaces
• Alice and Bob Meet Banach
• Proposed Experiment to Test Local Hidden-Variable Theories
• Spectrahedral Containment and Operator Systems with Finite-Dimensional Realization
• Convex Analysis

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