Initial states and decoherence of histories

Artur Scherer; Andrei N. Soklakov

doi:10.1063/1.1888030

Initial states and decoherence of histories

Artur Scherer^*, Andrei N. Soklakov

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

We study decoherence properties of arbitrarily long histories constructed from a fixed projective partition of a finite dimensional Hilbert space. We show that decoherence of such histories for all initial states that are naturally induced by the projective partition implies decoherence for arbitrary initial states. In addition we generalize the simple necessary decoherence condition [Scherer, Phys. Lett. A 326, 307 (2004)] for such histories to the case of arbitrary coarse graining.

Original language	English
Article number	042108
Pages (from-to)	1-7
Number of pages	7
Journal	Journal of Mathematical Physics
Volume	46
Issue number	4
DOIs	https://doi.org/10.1063/1.1888030
Publication status	Published - Apr 2005
Externally published	Yes

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10.1063/1.1888030

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title = "Initial states and decoherence of histories",

abstract = "We study decoherence properties of arbitrarily long histories constructed from a fixed projective partition of a finite dimensional Hilbert space. We show that decoherence of such histories for all initial states that are naturally induced by the projective partition implies decoherence for arbitrary initial states. In addition we generalize the simple necessary decoherence condition [Scherer, Phys. Lett. A 326, 307 (2004)] for such histories to the case of arbitrary coarse graining.",

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AB - We study decoherence properties of arbitrarily long histories constructed from a fixed projective partition of a finite dimensional Hilbert space. We show that decoherence of such histories for all initial states that are naturally induced by the projective partition implies decoherence for arbitrary initial states. In addition we generalize the simple necessary decoherence condition [Scherer, Phys. Lett. A 326, 307 (2004)] for such histories to the case of arbitrary coarse graining.

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Initial states and decoherence of histories

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