Connes' embedding problem and Tsirelson's problem
From MaRDI portal
Publication:5256168
DOI10.1063/1.3514538zbMath1314.81038arXiv1008.1142OpenAlexW2033376433WikidataQ59474349 ScholiaQ59474349MaRDI QIDQ5256168
Miguel Navascués, David Pérez-García, Marius Junge, Volkher B. Scholz, Carlos Palazuelos, Reinhard F. Werner
Publication date: 22 June 2015
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1008.1142
General theory of von Neumann algebras (46L10) Applications of selfadjoint operator algebras to physics (46L60) Quantum coherence, entanglement, quantum correlations (81P40) Classification of factors (46L36)
Related Items (50)
The quantum-to-classical graph homomorphism game ⋮ Interactive Proofs with Approximately Commuting Provers ⋮ TSIRELSON'S PROBLEM AND KIRCHBERG'S CONJECTURE ⋮ Almost synchronous quantum correlations ⋮ Quantum Bilinear Optimization ⋮ Quantum Teleportation and Super-Dense Coding in Operator Algebras ⋮ Bounds on entanglement dimensions and quantum graph parameters via noncommutative polynomial optimization ⋮ About the Connes embedding conjecture ⋮ Joint system quantum descriptions arising from local quantumness ⋮ Bipartite matrix-valued tensor product correlations that are not finitely representable ⋮ Nonlocal Games with Noisy Maximally Entangled States are Decidable ⋮ A physical approach to Tsirelson's problem ⋮ Unitary correlation sets ⋮ Quantum teleportation in the commuting operator framework ⋮ On Tsirelson pairs of C*-algebras ⋮ State convertibility in the von Neumann algebra framework ⋮ The inflation hierarchy and the polarization hierarchy are complete for the quantum bilocal scenario ⋮ \(\mathrm{MIP}^* = \mathrm{RE}\): a negative resolution to Connes' embedding problem and Tsirelson's problem ⋮ A synchronous NPA hierarchy with applications ⋮ \(\mathrm{C}^\ast\)-algebras. Abstracts from the workshop held August 7--13, 2022 ⋮ Noncommutative nullstellensätze and perfect games ⋮ A convergent inflation hierarchy for quantum causal structures ⋮ Connes’ embedding problem and winning strategies for quantum XOR games ⋮ Perfect commuting-operator strategies for linear system games ⋮ Perfect embezzlement of entanglement ⋮ Matricial Archimedean order unit spaces and quantum correlations ⋮ Quantum hypergraph homomorphisms and non-local games ⋮ Geometry and optimization in quantum information. Abstracts from the workshop held October 3--9, 2021 (hybrid meeting) ⋮ THE SET OF QUANTUM CORRELATIONS IS NOT CLOSED ⋮ Approximation of quantum assemblages ⋮ Operator system structures on the unital direct sum of \(C^*\)-algebras ⋮ Grothendieck’s Theorem, past and present ⋮ Non-closure of the set of quantum correlations via graphs ⋮ Geometry of the set of synchronous quantum correlations ⋮ A synchronous game for binary constraint systems ⋮ Tsirelson's problem and asymptotically commuting unitary matrices ⋮ On a non-commutative analogue of a classical result of Namioka and Phelps ⋮ Operator systems from discrete groups ⋮ A combinatorial approach to nonlocality and contextuality ⋮ Large violation of Bell inequalities with low entanglement ⋮ Synchronous correlation matrices and Connes’ embedding conjecture ⋮ Survey on nonlocal games and operator space theory ⋮ SDP Relaxations for Non-Commutative Polynomial Optimization ⋮ Tsirelson’s problem and an embedding theorem for groups arising from non-local games ⋮ A non-commutative unitary analogue of Kirchberg's conjecture ⋮ Perfect strategies for non-local games ⋮ A universal representation for quantum commuting correlations ⋮ Synchronicity for quantum non-local games ⋮ The Connes embedding problem: A guided tour ⋮ Rank-one quantum games
Cites Work
- Causal independence and the energy-level density of states in local quantum field theory
- Unbounded violations of bipartite Bell inequalities via operator space theory
- Tensor products of operator systems
- Large violation of Bell inequalities with low entanglement
- Standard and split inclusions of von Neumann algebras
- The universal structure of local algebras
- Local preparability of states and the split property in quantum field theory
- Free products of completely positive maps and spectral sets
- On non-semisplit extensions, tensor products and exactness of group \(C^*\)-algebras
- Theory of operator algebras. II
- Quotients, exactness, and nuclearity in the operator system category
- Unbounded violation of tripartite Bell inequalities
- TSIRELSON'S PROBLEM AND KIRCHBERG'S CONJECTURE
- Positive-definite kernels, length functions on groups and a noncommutative von Neumann inequality
- On the statistical independence of algebras of observables
- ABOUT THE QWEP CONJECTURE
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Connes' embedding problem and Tsirelson's problem