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Article: Ergodic and mixing quantum channels in finite dimensions
Title | Ergodic and mixing quantum channels in finite dimensions |
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Authors | |
Issue Date | 2013 |
Citation | New Journal of Physics, 2013, v. 15 How to Cite? |
Abstract | The 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 Identifier | http://hdl.handle.net/10722/213330 |
ISSN | 2023 Impact Factor: 2.8 2023 SCImago Journal Rankings: 1.090 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Burgarth, D. | - |
dc.contributor.author | Chiribella, G. | - |
dc.contributor.author | Giovannetti, V. | - |
dc.contributor.author | Perinotti, P. | - |
dc.contributor.author | Yuasa, K. | - |
dc.date.accessioned | 2015-07-28T04:06:55Z | - |
dc.date.available | 2015-07-28T04:06:55Z | - |
dc.date.issued | 2013 | - |
dc.identifier.citation | New Journal of Physics, 2013, v. 15 | - |
dc.identifier.issn | 1367-2630 | - |
dc.identifier.uri | http://hdl.handle.net/10722/213330 | - |
dc.description.abstract | The 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.language | eng | - |
dc.relation.ispartof | New Journal of Physics | - |
dc.title | Ergodic and mixing quantum channels in finite dimensions | - |
dc.type | Article | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1088/1367-2630/15/7/073045 | - |
dc.identifier.scopus | eid_2-s2.0-84881330654 | - |
dc.identifier.volume | 15 | - |
dc.identifier.isi | WOS:000322176800002 | - |
dc.identifier.issnl | 1367-2630 | - |