Implementing unitary 2-designs using random diagonal-unitary matrices

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dc.identifier.uri http://dx.doi.org/10.15488/855
dc.identifier.uri http://www.repo.uni-hannover.de/handle/123456789/879
dc.contributor.author Nakata, Yoshifumi
dc.contributor.author Hirche, Christoph
dc.contributor.author Morgan, Ciara
dc.contributor.author Winter, Andreas
dc.date.accessioned 2016-12-16T09:39:05Z
dc.date.available 2016-12-16T09:39:05Z
dc.date.issued 2015
dc.identifier.citation Nakata Y., Hirche C., Morgan C., Winter A.: Implementing unitary 2-designs using random diagonal-unitary matrices. In: Leibniz International Proceedings in Informatics, LIPIcs 44 (2015), S. 191-205. DOI: https://doi.org/10.4230/LIPIcs.TQC.2015.191
dc.description.abstract Unitary 2-designs are random unitary matrices which, in contrast to their Haar-distributed counterparts, have been shown to be efficiently realized by quantum circuits. Most notably, unitary 2-designs are known to achieve decoupling, a fundamental primitive of paramount importance in quantum Shannon theory. Here we prove that unitary 2-designs can be implemented approximately using random diagonal-unitaries. eng
dc.description.sponsorship EU/SIQS
dc.description.sponsorship EU/QFTCMPS
dc.description.sponsorship EU/EXC/201
dc.description.sponsorship MINECO/FIS2013-40627-P
dc.description.sponsorship CIRIT/2014/SGR 966
dc.description.sponsorship European Commission
dc.description.sponsorship European Research Council
dc.language.iso eng
dc.publisher Schloss Dagstuhl- Leibniz-Zentrum für Informatik GmbH, Dagstuhl Publishing
dc.relation.ispartofseries Leibniz International Proceedings in Informatics, LIPIcs 44 (2015)
dc.rights CC BY 4.0 Unported
dc.rights.uri https://creativecommons.org/licenses/by/4.0/
dc.subject Commuting quantum circuits eng
dc.subject Unitary 2-designs eng
dc.subject Computation theory eng
dc.subject Cryptography eng
dc.subject Logic circuits eng
dc.subject Matrix algebra eng
dc.subject Quantum computers eng
dc.subject Quantum cryptography eng
dc.subject Reconfigurable hardware eng
dc.subject Quantum circuit eng
dc.subject Quantum shannon theories eng
dc.subject Random unitary matrices eng
dc.subject Unitary 2-designs eng
dc.subject Unitary matrix eng
dc.subject Quantum communication eng
dc.subject.classification Konferenzschrift ger
dc.subject.ddc 500 | Naturwissenschaften ger
dc.subject.ddc 530 | Physik ger
dc.title Implementing unitary 2-designs using random diagonal-unitary matrices
dc.type Article
dc.type Text
dc.relation.issn 18688969
dc.relation.doi https://doi.org/10.4230/LIPIcs.TQC.2015.191
dc.bibliographicCitation.volume 44
dc.bibliographicCitation.firstPage 191
dc.bibliographicCitation.lastPage 205
dc.description.version publishedVersion
tib.accessRights frei zug�nglich


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