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Article: Realization schemes for quantum instruments in finite dimensions
Title | Realization schemes for quantum instruments in finite dimensions |
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Authors | |
Issue Date | 2009 |
Publisher | American Institute of Physics. The Journal's web site is located at https://aip.scitation.org/journal/jmp |
Citation | Journal of Mathematical Physics, 2009, v. 50 n. 4, article no. 042101 How to Cite? |
Abstract | We present a general dilation scheme for quantum instruments with continuous outcome space in finite dimensions, in terms of a measurement on a finite-dimensional ancilla, described by a positive operator valued measure (POVM). The general result is then applied to a large class of instruments generated by operator frames, which contains group-covariant instruments as a particular case and allows one to construct dilation schemes based on a measurement on the ancilla followed by a conditional feed-forward operation on the output. In the case of tight operator frames, our construction generalizes quantum teleportation and telecloning, producing a whole family of generalized teleportation schemes in which the instrument is realized via a joint POVM at the sender combined with a conditional feed-forward operation at the receiver. © 2009 American Institute of Physics. |
Persistent Identifier | http://hdl.handle.net/10722/213046 |
ISSN | 2023 Impact Factor: 1.2 2023 SCImago Journal Rankings: 0.569 |
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 | 2015-07-28T04:05:53Z | - |
dc.date.available | 2015-07-28T04:05:53Z | - |
dc.date.issued | 2009 | - |
dc.identifier.citation | Journal of Mathematical Physics, 2009, v. 50 n. 4, article no. 042101 | - |
dc.identifier.issn | 0022-2488 | - |
dc.identifier.uri | http://hdl.handle.net/10722/213046 | - |
dc.description.abstract | We present a general dilation scheme for quantum instruments with continuous outcome space in finite dimensions, in terms of a measurement on a finite-dimensional ancilla, described by a positive operator valued measure (POVM). The general result is then applied to a large class of instruments generated by operator frames, which contains group-covariant instruments as a particular case and allows one to construct dilation schemes based on a measurement on the ancilla followed by a conditional feed-forward operation on the output. In the case of tight operator frames, our construction generalizes quantum teleportation and telecloning, producing a whole family of generalized teleportation schemes in which the instrument is realized via a joint POVM at the sender combined with a conditional feed-forward operation at the receiver. © 2009 American Institute of Physics. | - |
dc.language | eng | - |
dc.publisher | American Institute of Physics. The Journal's web site is located at https://aip.scitation.org/journal/jmp | - |
dc.relation.ispartof | Journal of Mathematical Physics | - |
dc.title | Realization schemes for quantum instruments in finite dimensions | - |
dc.type | Article | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1063/1.3105923 | - |
dc.identifier.scopus | eid_2-s2.0-65549128818 | - |
dc.identifier.volume | 50 | - |
dc.identifier.issue | 4 | - |
dc.identifier.spage | article no. 042101 | - |
dc.identifier.epage | article no. 042101 | - |
dc.identifier.isi | WOS:000266596800001 | - |
dc.identifier.issnl | 0022-2488 | - |