Anomalies of weakened decoherence criteria for quantum histories

Physics – Quantum Physics

Scientific paper

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3pp, submitted to Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.92.170401

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.

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