Law of Large Numbers for Random Quantum Dynamical Semigroups

We present a Law of Large Numbers principle for uniformly continuous random quantum dynamical semigroups. Random iterates of independent copies of these semigroups are shown to be Chernoff equivalent to the quantum dynamical semigroup by the average generator.

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Bibliographic Details
Published in:arXiv.org 2022-03
Main Authors: Gough, John E, Orlov, Yurii N, Sakbaev, Vsevolod Zh, Smolyanov, Oleg G
Format: Article
Language:English
Subjects:
Semigroups
Online Access:Get full text
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Description
Summary:We present a Law of Large Numbers principle for uniformly continuous random quantum dynamical semigroups. Random iterates of independent copies of these semigroups are shown to be Chernoff equivalent to the quantum dynamical semigroup by the average generator.
ISSN:2331-8422