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

Abstract

In the paper the EPR-Bohm scenario will be reproduced in an algebraic quantum field theoretical setting with locally finite degrees of freedom. It will be shown that for a set of spatially separated correlating events (projections) maximally violating the Clauser-Horne inequality there can be given a common causal explanation if commutativity is abandoned between the common cause and the correlating events. Moreover, the noncommuting common cause will be local and supported in the common past of the correlating events.

References in corpus (3)

• Reichenbach's Common Cause Principle in Algebraic Quantum Field Theory with Locally Finite Degrees of Freedom
• Noncommutative Common Cause Principles in Algebraic Quantum Field Theory
• Did a 1-dimensional magnet detect a 248-dimensional Lie algebra?

Cited by in corpus (6)

• Quantum common causes and quantum causal models
• On modifications of Reichenbach's principle of common cause in light of Bell's theorem
• Noncommutative Common Cause Principles in Algebraic Quantum Field Theory
• On the concept of Bell's local causality in local classical and quantum theory
• EPR states and Bell correlated states in algebraic quantum field theory
• Bell's local causality is a d-separation criterion