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Article: Ergodic and mixing quantum channels in finite dimensions

TitleErgodic and mixing quantum channels in finite dimensions
Authors
Issue Date2013
Citation
New Journal of Physics, 2013, v. 15 How to Cite?
AbstractThe 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. © IOP Publishing and Deutsche Physikalische Gesellschaft.
Persistent Identifierhttp://hdl.handle.net/10722/213330
ISSN
2015 Impact Factor: 3.57
2015 SCImago Journal Rankings: 1.902
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorBurgarth, D.-
dc.contributor.authorChiribella, G.-
dc.contributor.authorGiovannetti, V.-
dc.contributor.authorPerinotti, P.-
dc.contributor.authorYuasa, K.-
dc.date.accessioned2015-07-28T04:06:55Z-
dc.date.available2015-07-28T04:06:55Z-
dc.date.issued2013-
dc.identifier.citationNew Journal of Physics, 2013, v. 15-
dc.identifier.issn1367-2630-
dc.identifier.urihttp://hdl.handle.net/10722/213330-
dc.description.abstractThe 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. © IOP Publishing and Deutsche Physikalische Gesellschaft.-
dc.languageeng-
dc.relation.ispartofNew Journal of Physics-
dc.titleErgodic and mixing quantum channels in finite dimensions-
dc.typeArticle-
dc.description.natureLink_to_subscribed_fulltext-
dc.identifier.doi10.1088/1367-2630/15/7/073045-
dc.identifier.scopuseid_2-s2.0-84881330654-
dc.identifier.volume15-
dc.identifier.isiWOS:000322176800002-

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