0412024v1

related topics
{vol, operators, histories}
{time, decoherence, evolution}
{let, theorem, proof}
{states, state, optimal}
{classical, space, random}

Decoherence properties of arbitrarily long histories

Artur Scherer, Andrei N. Soklakov

abstract: Within the decoherent histories formulation of quantum mechanics, we consider arbitrarily long histories constructed from a fixed projective partition of a finite-dimensional Hilbert space. We review some of the decoherence properties of such histories including simple necessary decoherence conditions and the dependence of decoherence on the initial state. Here we make a first step towards generalization of our earlier results [Scherer and Soklakov, e-print: quant-ph/0405080, (2004) and Scherer et al., Phys. Lett. A, vol. 326, 307, (2004)] to the case of approximate decoherence.

oai_identifier:
oai:arXiv.org:quant-ph/0412024
categories:
quant-ph
comments:
8 pages, no figures
doi:
10.1063/1.1834466
arxiv_id:
quant-ph/0412024
created:
2004-12-03

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