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.
|Number of pages||8|
|Journal||Physics Letters, Section A: General, Atomic and Solid State Physics|
|Publication status||Published - 14 Jun 2004|
- Decoherent histories