\(\mathrm{MIP}^* = \mathrm{RE}\): a negative resolution to Connes' embedding problem and Tsirelson's problem
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Publication:6118161
DOI10.4171/icm2022/71OpenAlexW4389774904MaRDI QIDQ6118161
Publication date: 20 March 2024
Published in: International Congress of Mathematicians (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4171/icm2022/71
General theory of von Neumann algebras (46L10) Complexity classes (hierarchies, relations among complexity classes, etc.) (68Q15)
Cites Work
- Unnamed Item
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- Quantum graph homomorphisms via operator systems
- About the Connes embedding conjecture
- Non-deterministic exponential time has two-prover interactive protocols
- On the quantum chromatic number of a graph
- The classification problem for von Neumann factors
- On \(\varepsilon\)-representations
- Classification of injective factors. Cases \(\mathrm{II}_1\), \(\mathrm{II}_\infty\), \(\mathrm{III}_\lambda\), \(\lambda\neq 1\)
- Self-testing/correcting with applications to numerical problems
- On non-semisplit extensions, tensor products and exactness of group \(C^*\)-algebras
- The analogues of entropy and of Fisher's information measure in free probability theory. II
- The Morita theory of quantum graph isomorphisms
- Non-closure of the set of quantum correlations via graphs
- Hyperlinearity, essentially free actions and \(L^2\)-invariants. The sofic property
- On Ulam stability
- Quantum and non-signalling graph isomorphisms
- Matrices of unitary moments
- TSIRELSON'S PROBLEM AND KIRCHBERG'S CONJECTURE
- OPERATOR ALGEBRAIC APPROACH TO INVERSE AND STABILITY THEOREMS FOR AMENABLE GROUPS
- FREE ENTROPY
- Proof verification and the hardness of approximation problems
- Extensions of Lipschitz mappings into a Hilbert space
- Probabilistic checking of proofs
- Designing programs that check their work
- Simple unified form for the major no-hidden-variables theorems
- Inverse and stability theorems for approximate representations of finite groups
- THE SET OF QUANTUM CORRELATIONS IS NOT CLOSED
- A synchronous game for binary constraint systems
- Compression of quantum multi-prover interactive proofs
- A quantum linearity test for robustly verifying entanglement
- Characterization of Binary Constraint System Games
- From Operator Algebras to Complexity Theory and Back
- Quantum proof systems for iterated exponential time, and beyond
- Connes' embedding problem and Tsirelson's problem
- QUANTUM CHROMATIC NUMBERS VIA OPERATOR SYSTEMS
- Kochen–Specker Sets and the Rank-1 Quantum Chromatic Number
- COMPUTABILITY AND THE CONNES EMBEDDING PROBLEM
- Synchronous linear constraint system games
- Estimating quantum chromatic numbers
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