Noncommuting local common causes for correlations violating the Clauser–Horne inequality

DOI10.1063/1.4763468zbMath1278.81029arXiv1201.5848OpenAlexW3103775129MaRDI QIDQ2872410

Péter Vecsernyés, Gábor Hofer-Szabó

Publication date: 14 January 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.5848

Mathematics Subject Classification ID

Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Applications of selfadjoint operator algebras to physics (46L60) Operator algebra methods applied to problems in quantum theory (81R15) Quantum coherence, entanglement, quantum correlations (81P40)

Related Items (9)

On the meaning of EPR's reality criterion ⋮ Characterizing common cause closedness of quantum probability theories ⋮ On the Three Types of Bell’s Inequalities ⋮ Bell inequality and common causal explanation in algebraic quantum field theory ⋮ Noncommutative Common Cause Principles in algebraic quantum field theory ⋮ A generalized definition of Bell's local causality ⋮ On the relation between the probabilistic characterization of the common cause and Bell's notion of local causality ⋮ EPR states and Bell correlated states in algebraic quantum field theory ⋮ On the concept of Bell’s local causality in local classical and quantum theory

Cites Work

• Reichenbach's common cause principle in algebraic quantum field theory with locally finite degrees of freedom
• On the modular structure of local algebras of observables
• The universal structure of local algebras
• Quantum symmetry and braid group statistics in \(G\)-spin models
• Quantum chains of Hopf algebras with quantum double cosymmetry
• Generic Bell correlation between arbitrary local algebras in quantum field theory
• Quantum entanglement
• SCALING ALGEBRAS AND RENORMALIZATION GROUP IN ALGEBRAIC QUANTUM FIELD THEORY
• Proposed Experiment to Test Local Hidden-Variable Theories
• Remarks on causality in relativistic quantum field theory

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