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Article: Probabilistic theories with purification

TitleProbabilistic theories with purification
Authors
Issue Date2010
Citation
Physical Review A - Atomic, Molecular, and Optical Physics, 2010, v. 81, n. 6 How to Cite?
AbstractWe investigate general probabilistic theories in which every mixed state has a purification, unique up to reversible channels on the purifying system. We show that the purification principle is equivalent to the existence of a reversible realization of every physical process, that is, to the fact that every physical process can be r2egarded as arising from a reversible interaction of the system with an environment, which is eventually discarded. From the purification principle we also construct an isomorphism between transformations and bipartite states that possesses all structural properties of the Choi-Jamiołkowski isomorphism in quantum theory. Such an isomorphism allows one to prove most of the basic features of quantum theory, like, e.g., existence of pure bipartite states giving perfect correlations in independent experiments, no information without disturbance, no joint discrimination of all pure states, no cloning, teleportation, no programming, no bit commitment, complementarity between correctable channels and deletion channels, characterization of entanglement-breaking channels as measure-and-prepare channels, and others, without resorting to the mathematical framework of Hilbert spaces. © 2010 The American Physical Society.
Persistent Identifierhttp://hdl.handle.net/10722/213109
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.accessioned2015-07-28T04:06:10Z-
dc.date.available2015-07-28T04:06:10Z-
dc.date.issued2010-
dc.identifier.citationPhysical Review A - Atomic, Molecular, and Optical Physics, 2010, v. 81, n. 6-
dc.identifier.issn1050-2947-
dc.identifier.urihttp://hdl.handle.net/10722/213109-
dc.description.abstractWe investigate general probabilistic theories in which every mixed state has a purification, unique up to reversible channels on the purifying system. We show that the purification principle is equivalent to the existence of a reversible realization of every physical process, that is, to the fact that every physical process can be r2egarded as arising from a reversible interaction of the system with an environment, which is eventually discarded. From the purification principle we also construct an isomorphism between transformations and bipartite states that possesses all structural properties of the Choi-Jamiołkowski isomorphism in quantum theory. Such an isomorphism allows one to prove most of the basic features of quantum theory, like, e.g., existence of pure bipartite states giving perfect correlations in independent experiments, no information without disturbance, no joint discrimination of all pure states, no cloning, teleportation, no programming, no bit commitment, complementarity between correctable channels and deletion channels, characterization of entanglement-breaking channels as measure-and-prepare channels, and others, without resorting to the mathematical framework of Hilbert spaces. © 2010 The American Physical Society.-
dc.languageeng-
dc.relation.ispartofPhysical Review A - Atomic, Molecular, and Optical Physics-
dc.titleProbabilistic theories with purification-
dc.typeArticle-
dc.description.natureLink_to_subscribed_fulltext-
dc.identifier.doi10.1103/PhysRevA.81.062348-
dc.identifier.scopuseid_2-s2.0-77954196305-
dc.identifier.volume81-
dc.identifier.issue6-
dc.identifier.eissn1094-1622-
dc.identifier.isiWOS:000279380300001-

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