Consistent histories, quantum truth functionals, and hidden variables

Abstract

A central principle of consistent histories quantum theory, the requirement that quantum descriptions be based upon a single framework (or family), is employed to show that there is no conflict between consistent histories and a no-hidden-variables theorem of Bell, and Kochen and Specker, contrary to a recent claim by Bassi and Ghirardi. The argument makes use of ``truth functionals'' defined on a Boolean algebra of classical or quantum properties.

Latex 10 pages, no figures

References in corpus (4)

• Hidden Variables and the Two Theorems of John Bell
• Choice of Consistent Family, and Quantum Incompatibility
• Comment on ``Consistent Sets Yield Contrary Inferences in Quantum Theory''
• Can the Decoherent Histories Description of Reality be Considered Satisfactory?

Cited by in corpus (5)

• Dynamical Reduction Models
• About the Notion of Truth in the Decoherent Histories Approach: a reply to Griffiths
• On Noncontextual, Non-Kolmogorovian Hidden Variable Theories
• Incompatible Multiple Consistent Sets of Histories and Measures of Quantumness
• Epistemic Restrictions in Hilbert Space Quantum Mechanics