Unitary correlation sets

DOI10.1007/s00020-017-2383-9OpenAlexW2563141476MaRDI QIDQ1683317

Samuel J. Harris, Vern I. Paulsen

Publication date: 7 December 2017

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.02791

zbMATH Keywords

Tsirelson's problemConnes' embedding problemcross-normsoperator system tensor productsunitary correlation sets

Mathematics Subject Classification ID

Selfadjoint operator algebras ((C^*)-algebras, von Neumann ((W^*)-) algebras, etc.) (46L99) Operator spaces (= matricially normed spaces) (47L25)

Related Items (4)

The quantum-to-classical graph homomorphism game ⋮ Quantum Teleportation and Super-Dense Coding in Operator Algebras ⋮ Non-closure of quantum correlation matrices and factorizable channels that require infinite dimensional ancilla (With an appendix by Narutaka Ozawa) ⋮ Connes’ embedding problem and winning strategies for quantum XOR games

Cites Work

• About the Connes embedding conjecture
• Tensor products of operator systems
• Injectivity and operator spaces
• Classification of injective factors. Cases \(\mathrm{II}_1\), \(\mathrm{II}_\infty\), \(\mathrm{III}_\lambda\), \(\lambda\neq 1\)
• Quotients, exactness, and nuclearity in the operator system category
• TSIRELSON'S PROBLEM AND KIRCHBERG'S CONJECTURE
• Perfect embezzlement of entanglement
• THE SET OF QUANTUM CORRELATIONS IS NOT CLOSED
• Operator system quotients of matrix algebras and their tensor products
• Nuclearity related properties in operator systems
• Tsirelson’s problem and an embedding theorem for groups arising from non-local games
• A non-commutative unitary analogue of Kirchberg's conjecture
• Connes' embedding problem and Tsirelson's problem
• $C^*$-algebras with the weak expectation property and a multivariable analogue of Ando's theorem on the numerical radius
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