Anomalies of weakened decoherence criteria for quantum histories

Abstract

The theory of decoherent histories is checked for the requirement of statistical independence of subsystems. Strikingly, this is satisfied only when the decoherence functional is diagonal in both its real a n d imaginary parts. In particular, the condition of consistency (or weak decoherence) required for the assignment of probabilities appears to be ruled out. The same conclusion is obtained independently, by claiming a plausible dynamical robustness of decoherent histories.

arXiv comment3pp, submitted to Phys. Rev. Lett

References in corpus (8)

• Classical Equations for Quantum Systems
• Properties of Consistent Histories
• Linearly Positive Histories: Probabilities for a Robust Family of Sequences of Quantum Events
• Decoherent Histories and the Emergent Classicality of Local Densities
• Decoherence and Records for the Case of a Scattering Environment
• Can the Decoherent Histories Description of Reality be Considered Satisfactory?
• Quantum jumps as decoherent histories
• Primordial Fluctuations from Inflation: a Consistent Histories Approach

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