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Article: Quantum networks: General theory and applications

TitleQuantum networks: General theory and applications
Authors
KeywordsUnitary channels
Quantum cloning
Quantum circuits
Group theory in quantum mechanics
Works
Quantum tomography
Quantum learning
Quantum net
Quantum information processing
Issue Date2011
Citation
Acta Physica Slovaca, 2011, v. 61, n. 3, p. 273-390 How to Cite?
AbstractIn this work we present a general mathematical framework to deal with Quantum Networks, i.e. networks resulting from the interconnection of elementary quantum circuits. The cornerstone of our approach is a generalization of the Choi isomorphism that allows one to efficiently represent any given Quantum Network in terms of a single positive operator. Our formalism allows one to face and solve many quantum information processing problems that would be hardly manageable otherwise, the most relevant of which are reviewed in this work: quantum process tomography, quantum cloning and learning of transformations, inversion of a unitary gate, information-disturbance tradeoff in estimating a unitary transformation, cloning and learning of a measurement device.
Persistent Identifierhttp://hdl.handle.net/10722/213208
ISSN
2015 Impact Factor: 0.5
2015 SCImago Journal Rankings: 0.323
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorBisio, A.-
dc.contributor.authorChiribella, G.-
dc.contributor.authorD'Ariano, G. M.-
dc.contributor.authorPerinotti, P.-
dc.date.accessioned2015-07-28T04:06:31Z-
dc.date.available2015-07-28T04:06:31Z-
dc.date.issued2011-
dc.identifier.citationActa Physica Slovaca, 2011, v. 61, n. 3, p. 273-390-
dc.identifier.issn0323-0465-
dc.identifier.urihttp://hdl.handle.net/10722/213208-
dc.description.abstractIn this work we present a general mathematical framework to deal with Quantum Networks, i.e. networks resulting from the interconnection of elementary quantum circuits. The cornerstone of our approach is a generalization of the Choi isomorphism that allows one to efficiently represent any given Quantum Network in terms of a single positive operator. Our formalism allows one to face and solve many quantum information processing problems that would be hardly manageable otherwise, the most relevant of which are reviewed in this work: quantum process tomography, quantum cloning and learning of transformations, inversion of a unitary gate, information-disturbance tradeoff in estimating a unitary transformation, cloning and learning of a measurement device.-
dc.languageeng-
dc.relation.ispartofActa Physica Slovaca-
dc.subjectUnitary channels-
dc.subjectQuantum cloning-
dc.subjectQuantum circuits-
dc.subjectGroup theory in quantum mechanics-
dc.subjectWorks-
dc.subjectQuantum tomography-
dc.subjectQuantum learning-
dc.subjectQuantum net-
dc.subjectQuantum information processing-
dc.titleQuantum networks: General theory and applications-
dc.typeArticle-
dc.description.natureLink_to_subscribed_fulltext-
dc.identifier.doi10.2478/v10155-011-0003-9-
dc.identifier.scopuseid_2-s2.0-81155123542-
dc.identifier.volume61-
dc.identifier.issue3-
dc.identifier.spage273-
dc.identifier.epage390-
dc.identifier.isiWOS:000297243500001-

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