A simple necessary decoherence condition for a set of histories
Quantum Physics
2009-11-10 v1
Abstract
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.
Cite
@article{arxiv.quant-ph/0401132,
title = {A simple necessary decoherence condition for a set of histories},
author = {Artur Scherer and Andrei N. Soklakov and Ruediger Schack},
journal= {arXiv preprint arXiv:quant-ph/0401132},
year = {2009}
}
Comments
11 pages,LaTex