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Article: Extremal quantum cloning machines

TitleExtremal quantum cloning machines
Authors
Issue Date2005
Citation
Physical Review A - Atomic, Molecular, and Optical Physics, 2005, v. 72, n. 4 How to Cite?
AbstractWe investigate the problem of cloning a set of states that is invariant under the action of an irreducible group representation. We then characterize the cloners that are extremal in the convex set of group covariant cloning machines, among which one can restrict the search for optimal cloners. For a set of states that is invariant under the discrete Weyl-Heisenberg group, we show that all extremal cloners can be unitarily realized using the so-called double-Bell states, whence providing a general proof of the popular ansatz used in the literature for finding optimal cloners in a variety of settings. Our result can also be generalized to continuous-variable optimal cloning in infinite dimensions, where the covariance group is the customary Weyl-Heisenberg group of displacements. © 2005 The American Physical Society.
Persistent Identifierhttp://hdl.handle.net/10722/212846
ISSN
2014 Impact Factor: 2.808
2015 SCImago Journal Rankings: 1.418
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorChiribella, G.-
dc.contributor.authorD'Ariano, G. M.-
dc.contributor.authorPerinotti, P.-
dc.contributor.authorCerf, N. J.-
dc.date.accessioned2015-07-28T04:05:12Z-
dc.date.available2015-07-28T04:05:12Z-
dc.date.issued2005-
dc.identifier.citationPhysical Review A - Atomic, Molecular, and Optical Physics, 2005, v. 72, n. 4-
dc.identifier.issn1050-2947-
dc.identifier.urihttp://hdl.handle.net/10722/212846-
dc.description.abstractWe investigate the problem of cloning a set of states that is invariant under the action of an irreducible group representation. We then characterize the cloners that are extremal in the convex set of group covariant cloning machines, among which one can restrict the search for optimal cloners. For a set of states that is invariant under the discrete Weyl-Heisenberg group, we show that all extremal cloners can be unitarily realized using the so-called double-Bell states, whence providing a general proof of the popular ansatz used in the literature for finding optimal cloners in a variety of settings. Our result can also be generalized to continuous-variable optimal cloning in infinite dimensions, where the covariance group is the customary Weyl-Heisenberg group of displacements. © 2005 The American Physical Society.-
dc.languageeng-
dc.relation.ispartofPhysical Review A - Atomic, Molecular, and Optical Physics-
dc.titleExtremal quantum cloning machines-
dc.typeArticle-
dc.description.natureLink_to_subscribed_fulltext-
dc.identifier.doi10.1103/PhysRevA.72.042336-
dc.identifier.scopuseid_2-s2.0-28844492599-
dc.identifier.volume72-
dc.identifier.issue4-
dc.identifier.eissn1094-1622-
dc.identifier.isiWOS:000232931800070-

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