Repeated Quantum Interactions and Unitary Random Walks

Stéphane Attal () and Ameur Dhahri
Additional contact information
Stéphane Attal: Université de Lyon
Ameur Dhahri: Facultad de Matemáticas

Journal of Theoretical Probability, 2010, vol. 23, issue 2, 345-361

Abstract: Abstract Among the discrete evolution equations describing a quantum system ℋ S undergoing repeated quantum interactions with a chain of exterior systems, we study and characterize those which are directed by classical random variables in ℝ N . The characterization we obtain is entirely algebraical in terms of the unitary operator driving the elementary interaction. We show that the solutions of these equations are then random walks on the group U(ℋ0) of unitary operators on ℋ0.

Keywords: Repeated quantum interactions; Obtuse random walks; Classical and quantum noises; 81S25; 81S22; 60J05 (search for similar items in EconPapers)
Date: 2010
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://link.springer.com/10.1007/s10959-010-0281-z Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:jotpro:v:23:y:2010:i:2:d:10.1007_s10959-010-0281-z

Ordering information: This journal article can be ordered from
https://www.springer.com/journal/10959

DOI: 10.1007/s10959-010-0281-z

Access Statistics for this article

Journal of Theoretical Probability is currently edited by Andrea Monica

More articles in Journal of Theoretical Probability from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().