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Article: Optimal asymptotic cloning machines

TitleOptimal asymptotic cloning machines
Authors
Keywordsquantum cloning
quantum channels
quantum estimation
Issue Date2014
Citation
New Journal of Physics, 2014, v. 16 How to Cite?
AbstractWe pose the question whether the asymptotic equivalence between quantum cloning and quantum state estimation, valid at the single-clone level, still holds when all clones are examined globally. We conjecture that the answer is affirmative and present a large amount of evidence supporting our conjecture, developing techniques to derive optimal asymptotic cloners and proving their equivalence with estimation in virtually all scenarios considered in the literature. Our analysis covers the case of arbitrary finite sets of states, arbitrary families of coherent states, arbitrary phase- and multiphase-covariant sets of states, and two-qubit maximally entangled states. In all these examples we observe that the optimal asymptotic cloners enjoy a universality property, consisting in the fact that scaling of their fidelity does not depend on the specific details of the input states, but only on the number of free parameters needed to specify them. © 2014 IOP Publishing Ltd and Deutsche Physikalische Gesellschaft.
Persistent Identifierhttp://hdl.handle.net/10722/213412
ISSN
2015 Impact Factor: 3.57
2015 SCImago Journal Rankings: 1.902
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorChiribella, Giulio-
dc.contributor.authorYang, Yuxiang-
dc.date.accessioned2015-07-28T04:07:12Z-
dc.date.available2015-07-28T04:07:12Z-
dc.date.issued2014-
dc.identifier.citationNew Journal of Physics, 2014, v. 16-
dc.identifier.issn1367-2630-
dc.identifier.urihttp://hdl.handle.net/10722/213412-
dc.description.abstractWe pose the question whether the asymptotic equivalence between quantum cloning and quantum state estimation, valid at the single-clone level, still holds when all clones are examined globally. We conjecture that the answer is affirmative and present a large amount of evidence supporting our conjecture, developing techniques to derive optimal asymptotic cloners and proving their equivalence with estimation in virtually all scenarios considered in the literature. Our analysis covers the case of arbitrary finite sets of states, arbitrary families of coherent states, arbitrary phase- and multiphase-covariant sets of states, and two-qubit maximally entangled states. In all these examples we observe that the optimal asymptotic cloners enjoy a universality property, consisting in the fact that scaling of their fidelity does not depend on the specific details of the input states, but only on the number of free parameters needed to specify them. © 2014 IOP Publishing Ltd and Deutsche Physikalische Gesellschaft.-
dc.languageeng-
dc.relation.ispartofNew Journal of Physics-
dc.subjectquantum cloning-
dc.subjectquantum channels-
dc.subjectquantum estimation-
dc.titleOptimal asymptotic cloning machines-
dc.typeArticle-
dc.description.natureLink_to_subscribed_fulltext-
dc.identifier.doi10.1088/1367-2630/16/6/063005-
dc.identifier.scopuseid_2-s2.0-84902177583-
dc.identifier.volume16-
dc.identifier.isiWOS:000339076700005-

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