The simplex of tracial quantum symmetric states

DOI10.4064/sm225-3-2zbMath1325.46065arXiv1401.4692OpenAlexW2963118469MaRDI QIDQ5499028

Kunal Mukherjee, Yoann Dabrowski, Kenneth J. Dykema

Publication date: 11 February 2015

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.4692

zbMATH Keywords

amalgamated free productquantum symmetric states

Mathematics Subject Classification ID

Free probability and free operator algebras (46L54) Noncommutative probability and statistics (46L53) Convex sets in topological linear spaces; Choquet theory (46A55) States of selfadjoint operator algebras (46L30) Free products of (C^*)-algebras (46L09)

Related Items (4)

Markovianity and the Thompson monoid \(F^+\) ⋮ Free products in AQFT ⋮ KMS quantum symmetric states ⋮ Operator algebras in India in the past decade

Cites Work

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• Segal-Bargmann transform, functional calculus on matrix spaces and the theory of semi-circular and circular systems
• A noncommutative de Finetti theorem: invariance under quantum permutations is equivalent to freeness with amalgamation
• The Poulsen simplex
• Stochastic calculus with respect to free Brownian motion and analysis on Wigner space
• Quantum symmetry groups of finite spaces
• Amalgamated free product over Cartan subalgebra
• The analogues of entropy and of Fisher's information measure in free probability theory. VI: Liberation and mutual free information
• Quantum symmetric states on free product $C^*$-algebras

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