CINECA IRIS Institutional Research Information System
IRIS è la soluzione IT che facilita la raccolta e la gestione dei dati relativi alle attività e ai prodotti della ricerca. Fornisce a ricercatori, amministratori e valutatori gli strumenti per monitorare i risultati della ricerca, aumentarne la visibilità e allocare in modo efficace le risorse disponibili.
EnglishThe paper provides a systematic characterization of quantum ergodic and mixing channels in finite dimensions and a discussion of their structural properties. In particular, we discuss ergodicity in the general case where the fixed point of the channel is not a full-rank (faithful) density matrix. Notably, we show that ergodicity is stable under randomizations, namely that every random mixture of an ergodic channel with a generic channel is still ergodic. In addition, we prove several conditions under which ergodicity can be promoted to the stronger property of mixing. Finally, exploiting a suitable correspondence between quantum channels and generators of quantum dynamical semigroups, we extend our results to the realm of continuous-time quantum evolutions, providing a characterization of ergodic Lindblad generators and showing that they are dense in the set of all possible generators.
| Titolo: | Ergodic and mixing quantum channels in finite dimensions | |
| Autori: | ||
| Data di pubblicazione: | 2013 | |
| Rivista: | ||
| Parole Chiave: | POSITIVE MAPS; INFORMATION-THEORY; ALGEBRAS; DYNAMICS; THEOREM; STATES | |
| Digital Object Identifier (DOI): | http://dx.doi.org/10.1088/1367-2630/15/7/073045 | |
| Handle: | http://hdl.handle.net/11384/38605 | |
| Appare nelle tipologie: | 1.1 Articolo in rivista |
File in questo prodotto:
Copyright © 2021