A simple necessary decoherence condition for a set of histories

Details A simple necessary decoherence condition for a set of histories A simple necessary decoherence condition for a set of histories

2004-01-21

arxiv.org/abs/quant-ph/0401132v1

Phys. Lett. A 326, 307 (2004); with minor changes.

Physics

Quantum Physics

11 pages,LaTex

Scientific paper

10.1016/j.physleta.2004.04.050

Within the decoherent histories formulation of quantum mechanics, we investigate necessary conditions for decoherence of arbitrarily long histories. We prove that fine-grained histories of arbitrary length decohere for all classical initial states if and only if the unitary evolution preserves classicality of states (using a natural formal definition of classicality). We give a counterexample showing that this equivalence does not hold for coarse-grained histories.

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