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- Publisher Website: 10.1103/PhysRevA.80.022339
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Article: Theoretical framework for quantum networks
Title | Theoretical framework for quantum networks |
---|---|
Authors | |
Issue Date | 2009 |
Publisher | American Physical Society. The Journal's web site is located at http://journals.aps.org/pra/ |
Citation | Physical Review A (Atomic, Molecular and Optical Physics), 2009, v. 80 n. 2, article no. 022339 How to Cite? |
Abstract | We 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 Identifier | http://hdl.handle.net/10722/213054 |
ISSN | 2014 Impact Factor: 2.808 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Chiribella, Giulio | - |
dc.contributor.author | D'Ariano, Giacomo Mauro | - |
dc.contributor.author | Perinotti, Paolo | - |
dc.date.accessioned | 2015-07-28T04:05:59Z | - |
dc.date.available | 2015-07-28T04:05:59Z | - |
dc.date.issued | 2009 | - |
dc.identifier.citation | Physical Review A (Atomic, Molecular and Optical Physics), 2009, v. 80 n. 2, article no. 022339 | - |
dc.identifier.issn | 1050-2947 | - |
dc.identifier.uri | http://hdl.handle.net/10722/213054 | - |
dc.description.abstract | We 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.language | eng | - |
dc.publisher | American Physical Society. The Journal's web site is located at http://journals.aps.org/pra/ | - |
dc.relation.ispartof | Physical Review A (Atomic, Molecular and Optical Physics) | - |
dc.title | Theoretical framework for quantum networks | - |
dc.type | Article | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1103/PhysRevA.80.022339 | - |
dc.identifier.scopus | eid_2-s2.0-69549110138 | - |
dc.identifier.volume | 80 | - |
dc.identifier.issue | 2 | - |
dc.identifier.spage | article no. 022339 | - |
dc.identifier.epage | article no. 022339 | - |
dc.identifier.eissn | 1094-1622 | - |
dc.identifier.isi | WOS:000269638200070 | - |
dc.identifier.issnl | 1050-2947 | - |