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Article: Necessary and sufficient conditions on measurements of quantum channels
Title | Necessary and sufficient conditions on measurements of quantum channels |
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Authors | |
Keywords | quantum information quantum channels quantum supermaps quantum measurements |
Issue Date | 2020 |
Publisher | The Royal Society Publishing. The Journal's web site is located at http://rspa.royalsocietypublishing.org/ |
Citation | Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2020, v. 476, p. article no. 20190832 How to Cite? |
Abstract | Quantum supermaps are a higher-order genera- lization of quantum maps, taking quantum maps to quantum maps. It is known that any completely positive and trace non-increasing (CPTNI) map can be performed as part of a quantum measurement. By providing an explicit counterexample we show that, instead, not every quantum supermap sending a quantum channel to a CPTNI map can be realized in a measurement on quantum channels. We find that the supermaps that can be implemented in this way are exactly those transforming quantum channels into CPTNI maps even when tensored with the identity supermap. We link this result to the fact that the principle of causality fails in the theory of quantum supermaps. |
Persistent Identifier | http://hdl.handle.net/10722/285035 |
ISSN | 2023 Impact Factor: 2.9 2023 SCImago Journal Rankings: 0.845 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Burniston, J | - |
dc.contributor.author | Grabowecky, M | - |
dc.contributor.author | Scandolo, CM | - |
dc.contributor.author | Chiribella, G | - |
dc.contributor.author | Gour, G | - |
dc.date.accessioned | 2020-08-07T09:05:53Z | - |
dc.date.available | 2020-08-07T09:05:53Z | - |
dc.date.issued | 2020 | - |
dc.identifier.citation | Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2020, v. 476, p. article no. 20190832 | - |
dc.identifier.issn | 1364-5021 | - |
dc.identifier.uri | http://hdl.handle.net/10722/285035 | - |
dc.description.abstract | Quantum supermaps are a higher-order genera- lization of quantum maps, taking quantum maps to quantum maps. It is known that any completely positive and trace non-increasing (CPTNI) map can be performed as part of a quantum measurement. By providing an explicit counterexample we show that, instead, not every quantum supermap sending a quantum channel to a CPTNI map can be realized in a measurement on quantum channels. We find that the supermaps that can be implemented in this way are exactly those transforming quantum channels into CPTNI maps even when tensored with the identity supermap. We link this result to the fact that the principle of causality fails in the theory of quantum supermaps. | - |
dc.language | eng | - |
dc.publisher | The Royal Society Publishing. The Journal's web site is located at http://rspa.royalsocietypublishing.org/ | - |
dc.relation.ispartof | Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences | - |
dc.subject | quantum information | - |
dc.subject | quantum channels | - |
dc.subject | quantum supermaps | - |
dc.subject | quantum measurements | - |
dc.title | Necessary and sufficient conditions on measurements of quantum channels | - |
dc.type | Article | - |
dc.identifier.email | Chiribella, G: giulio@cs.hku.hk | - |
dc.identifier.authority | Chiribella, G=rp02035 | - |
dc.description.nature | postprint | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1098/rspa.2019.0832 | - |
dc.identifier.scopus | eid_2-s2.0-85084931957 | - |
dc.identifier.hkuros | 312271 | - |
dc.identifier.volume | 476 | - |
dc.identifier.spage | article no. 20190832 | - |
dc.identifier.epage | article no. 20190832 | - |
dc.identifier.isi | WOS:000530375100007 | - |
dc.publisher.place | United Kingdom | - |
dc.identifier.issnl | 1364-5021 | - |