We study the analogues of irreducibility, period, and communicating classes for open quantum random walks, as defined in (J Stat Phys 147(4):832–852, 2012). We recover results similar to the standard ones for Markov chains, in terms of ergodic behaviour, decomposition into irreducible subsystems, and characterization of invariant states.

Open Quantum Random Walks: Reducibility, Period, Ergodic Properties

CARBONE, RAFFAELLA;
2016-01-01

Abstract

We study the analogues of irreducibility, period, and communicating classes for open quantum random walks, as defined in (J Stat Phys 147(4):832–852, 2012). We recover results similar to the standard ones for Markov chains, in terms of ergodic behaviour, decomposition into irreducible subsystems, and characterization of invariant states.
2016
The Mathematics category includes resources dealing with mathematics, applied mathematics, statistics and probability.
Esperti anonimi
Inglese
Internazionale
STAMPA
17
1
99
135
37
Statistical and Nonlinear Physics; Nuclear and High Energy Physics; Mathematical Physics
http://www.springerlink.com/content/1424-0637
2
info:eu-repo/semantics/article
262
Carbone, Raffaella; Pautrat, Yan
1 Contributo su Rivista::1.1 Articolo in rivista
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11571/1110377
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