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Article: Realization schemes for quantum instruments in finite dimensions

TitleRealization schemes for quantum instruments in finite dimensions
Authors
Issue Date2009
Citation
Journal of Mathematical Physics, 2009, v. 50, n. 4 How to Cite?
AbstractWe present a general dilation scheme for quantum instruments with continuous outcome space in finite dimensions, in terms of a measurement on a finite-dimensional ancilla, described by a positive operator valued measure (POVM). The general result is then applied to a large class of instruments generated by operator frames, which contains group-covariant instruments as a particular case and allows one to construct dilation schemes based on a measurement on the ancilla followed by a conditional feed-forward operation on the output. In the case of tight operator frames, our construction generalizes quantum teleportation and telecloning, producing a whole family of generalized teleportation schemes in which the instrument is realized via a joint POVM at the sender combined with a conditional feed-forward operation at the receiver. © 2009 American Institute of Physics.
Persistent Identifierhttp://hdl.handle.net/10722/213046
ISSN
2015 Impact Factor: 1.234
2015 SCImago Journal Rankings: 0.767
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorChiribella, Giulio-
dc.contributor.authorD'Ariano, Giacomo Mauro-
dc.contributor.authorPerinotti, Paolo-
dc.date.accessioned2015-07-28T04:05:53Z-
dc.date.available2015-07-28T04:05:53Z-
dc.date.issued2009-
dc.identifier.citationJournal of Mathematical Physics, 2009, v. 50, n. 4-
dc.identifier.issn0022-2488-
dc.identifier.urihttp://hdl.handle.net/10722/213046-
dc.description.abstractWe present a general dilation scheme for quantum instruments with continuous outcome space in finite dimensions, in terms of a measurement on a finite-dimensional ancilla, described by a positive operator valued measure (POVM). The general result is then applied to a large class of instruments generated by operator frames, which contains group-covariant instruments as a particular case and allows one to construct dilation schemes based on a measurement on the ancilla followed by a conditional feed-forward operation on the output. In the case of tight operator frames, our construction generalizes quantum teleportation and telecloning, producing a whole family of generalized teleportation schemes in which the instrument is realized via a joint POVM at the sender combined with a conditional feed-forward operation at the receiver. © 2009 American Institute of Physics.-
dc.languageeng-
dc.relation.ispartofJournal of Mathematical Physics-
dc.titleRealization schemes for quantum instruments in finite dimensions-
dc.typeArticle-
dc.description.natureLink_to_subscribed_fulltext-
dc.identifier.doi10.1063/1.3105923-
dc.identifier.scopuseid_2-s2.0-65549128818-
dc.identifier.volume50-
dc.identifier.issue4-
dc.identifier.isiWOS:000266596800001-

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