Contextuality and noncommutative geometry in quantum mechanics
DOI10.1007/s00220-018-3222-9zbMath1436.81019arXiv1806.02840OpenAlexW1438529033WikidataQ128616589 ScholiaQ128616589MaRDI QIDQ1720188
Rui Soares Barbosa, Nadish de Silva
Publication date: 12 February 2019
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1806.02840
observable\(K\)-theoryquantum mechanics\(C^\ast\)-algebracontextualitymeasurement theoryGleason's theoremBell-Kochen-Specker theoremcompact Hausdorff topological spacenocommutative geometryspectral presheafstate-observable duality
Noncommutative differential geometry (46L87) General theory of (C^*)-algebras (46L05) Quantum measurement theory, state operations, state preparations (81P15) Noncommutative geometry in quantum theory (81R60) States of selfadjoint operator algebras (46L30) Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects) (18F20) Quantum coherence, entanglement, quantum correlations (81P40) Quantum state spaces, operational and probabilistic concepts (81P16) Contextuality in quantum theory (81P13) Presheaves and sheaves in general topology (54B40) Quantum gates (81P65)
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