A simple necessary decoherence condition for a set of histories

Artur Scherer, Andrei N. Soklakov*, Rüdiger Schack

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)307-314
Number of pages8
JournalPhysics Letters. Section A: General, Atomic and Solid State Physics
Issue number5-6
Publication statusPublished - 14 Jun 2004
Externally publishedYes


  • 03.65.Ca
  • 03.65.Yz
  • Decoherent histories


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