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Article: Theoretical framework for quantum networks

TitleTheoretical framework for quantum networks
Authors
Issue Date2009
Citation
Physical Review A - Atomic, Molecular, and Optical Physics, 2009, v. 80, n. 2 How to Cite?
AbstractWe present a framework to treat quantum networks and all possible transformations thereof, including as special cases all possible manipulations of quantum states, measurements, and channels, such as, e.g., cloning, discrimination, estimation, and tomography. Our framework is based on the concepts of quantum comb-which describes all transformations achievable by a given quantum network-and link product-the operation of connecting two quantum networks. Quantum networks are treated both from a constructive point of view-based on connections of elementary circuits-and from an axiomatic one-based on a hierarchy of admissible quantum maps. In the axiomatic context a fundamental property is shown, which we call universality of quantum memory channels: any admissible transformation of quantum networks can be realized by a suitable sequence of memory channels. The open problem whether this property fails for some nonquantum theory, e.g., for no-signaling boxes, is posed. © 2009 The American Physical Society.
Persistent Identifierhttp://hdl.handle.net/10722/213054
ISSN
2014 Impact Factor: 2.808
2015 SCImago Journal Rankings: 1.418
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorChiribella, Giulio-
dc.contributor.authorD'Ariano, Giacomo Mauro-
dc.contributor.authorPerinotti, Paolo-
dc.date.accessioned2015-07-28T04:05:59Z-
dc.date.available2015-07-28T04:05:59Z-
dc.date.issued2009-
dc.identifier.citationPhysical Review A - Atomic, Molecular, and Optical Physics, 2009, v. 80, n. 2-
dc.identifier.issn1050-2947-
dc.identifier.urihttp://hdl.handle.net/10722/213054-
dc.description.abstractWe present a framework to treat quantum networks and all possible transformations thereof, including as special cases all possible manipulations of quantum states, measurements, and channels, such as, e.g., cloning, discrimination, estimation, and tomography. Our framework is based on the concepts of quantum comb-which describes all transformations achievable by a given quantum network-and link product-the operation of connecting two quantum networks. Quantum networks are treated both from a constructive point of view-based on connections of elementary circuits-and from an axiomatic one-based on a hierarchy of admissible quantum maps. In the axiomatic context a fundamental property is shown, which we call universality of quantum memory channels: any admissible transformation of quantum networks can be realized by a suitable sequence of memory channels. The open problem whether this property fails for some nonquantum theory, e.g., for no-signaling boxes, is posed. © 2009 The American Physical Society.-
dc.languageeng-
dc.relation.ispartofPhysical Review A - Atomic, Molecular, and Optical Physics-
dc.titleTheoretical framework for quantum networks-
dc.typeArticle-
dc.description.natureLink_to_subscribed_fulltext-
dc.identifier.doi10.1103/PhysRevA.80.022339-
dc.identifier.scopuseid_2-s2.0-69549110138-
dc.identifier.volume80-
dc.identifier.issue2-
dc.identifier.eissn1094-1622-
dc.identifier.isiWOS:000269638200070-

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