Non-locality, contextuality and valuation algebras: a general theory of disagreement

DOI10.1098/rsta.2019.0036zbMath1462.81012arXiv1911.03521OpenAlexW2974629507WikidataQ90113294 ScholiaQ90113294MaRDI QIDQ4993413

Samson Abramsky, Giovanni Carù

Publication date: 15 June 2021

Published in: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.03521

zbMATH Keywords

algorithmsquantum physicscontextualityvaluation algebrastheory of computinggeneric inference

Mathematics Subject Classification ID

Knowledge representation (68T30) Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects) (18F20) Contextuality in quantum theory (81P13)

Related Items (3)

Unifying hidden-variable problems from quantum mechanics by logics of dependence and independence ⋮ Contextuality in distributed systems ⋮ Classical Logic, Classical Probability, and Quantum Mechanics

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Context-content systems of random variables: the contextuality-by-default theory
• Hardy's non-locality paradox and possibilistic conditions for non-locality
• Relational databases and Bell's theorem
• Ordered valuation algebras: A generic framework for approximating inference
• A combinatorial approach to nonlocality and contextuality
• Generic Inference
• Quantum mechanics, local realistic theories, and Lorentz-invariant realistic theories
• Nonlocality for two particles without inequalities for almost all entangled states
• Bell’s theorem without inequalities
• A complete characterization of all-versus-nothing arguments for stabilizer states
• Consistency in Valuation-Based Systems
• Propositional information systems
• The sheaf-theoretic structure of non-locality and contextuality
• Logical paradoxes in quantum computation
• Contextuality, Cohomology and Paradox
• Proposed Experiment to Test Local Hidden-Variable Theories
• Semantic Unification

This page was built for publication: Non-locality, contextuality and valuation algebras: a general theory of disagreement