dorsal/arxiv
View SchemaA simple necessary decoherence condition for a set of histories
| Authors | Artur Scherer, Andrei N. Soklakov, Ruediger Schack |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0401132 |
| URL | https://arxiv.org/abs/quant-ph/0401132 |
| DOI | 10.1016/j.physleta.2004.04.050 |
| Journal | Phys. Lett. A 326, 307 (2004); with minor changes. |
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.
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"abstract": "Within the decoherent histories formulation of quantum mechanics, we\ninvestigate necessary conditions for decoherence of arbitrarily long histories.\nWe prove that fine-grained histories of arbitrary length decohere for all\nclassical initial states if and only if the unitary evolution preserves\nclassicality of states (using a natural formal definition of classicality). We\ngive a counterexample showing that this equivalence does not hold for\ncoarse-grained histories.",
"arxiv_id": "quant-ph/0401132",
"authors": [
"Artur Scherer",
"Andrei N. Soklakov",
"Ruediger Schack"
],
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"quant-ph"
],
"doi": "10.1016/j.physleta.2004.04.050",
"journal_ref": "Phys. Lett. A 326, 307 (2004); with minor changes.",
"title": "A simple necessary decoherence condition for a set of histories",
"url": "https://arxiv.org/abs/quant-ph/0401132"
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