Generalized Kac lemma for recurrence time in iterated open quantum systems

P. Sinkovicz, T. Kiss, J. K. Asbóth

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

We consider recurrence to the initial state after repeated actions of a quantum channel. After each iteration a projective measurement is applied to check recurrence. The corresponding return time is known to be an integer for the special case of unital channels, including unitary channels. We prove that for a more general class of quantum channels the expected return time can be given as the inverse of the weight of the initial state in the steady state. This statement is a generalization of the Kac lemma for classical Markov chains.

Original languageEnglish
Article number050101
JournalPhysical Review A
Volume93
Issue number5
DOIs
Publication statusPublished - May 9 2016

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theorems
Markov chains
integers
iteration

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

Cite this

Generalized Kac lemma for recurrence time in iterated open quantum systems. / Sinkovicz, P.; Kiss, T.; Asbóth, J. K.

In: Physical Review A, Vol. 93, No. 5, 050101, 09.05.2016.

Research output: Contribution to journalArticle

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