Time asymptotics and entanglement generation of Clifford quantum cellular automata

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dc.identifier.uri https://www.repo.uni-hannover.de/handle/123456789/8844
dc.identifier.uri https://doi.org/10.15488/8791
dc.contributor.author Gütschow, Johannes
dc.contributor.author Uphoff, Sonja
dc.contributor.author Werner, Reinhard F.
dc.contributor.author Zimborás, Zoltán
dc.date.accessioned 2019-12-11T12:50:55Z
dc.date.available 2019-12-11T12:50:55Z
dc.date.issued 2010
dc.identifier.citation Gütschow, J.; Uphoff, S.; Werner, R.F.; Zimborás, Z.: Time asymptotics and entanglement generation of Clifford quantum cellular automata. In: Journal of Mathematical Physics 521 (2010), 015203. DOI: https://doi.org/10.1063/1.3278513
dc.description.abstract We consider Clifford quantum cellular automata (CQCAs) and their time-evolution. CQCAs are an especially simple type of quantum cellular automata, yet they show complex asymptotics and can even be a basic ingredient for universal quantum computation. In this work we study the time evolution of different classes of CQCAs. We distinguish between periodic CQCAs, fractal CQCAs, and CQCAs with gliders. We then identify invariant states and study convergence properties of classes of states, such as quasifree and stabilizer states. Finally, we consider the generation of entanglement analytically and numerically for stabilizer and quasifree states eng
dc.language.iso eng
dc.publisher College Park, MD : American Institute of Physics
dc.relation.ispartofseries Journal of Mathematical Physics 51 (2010)
dc.rights Es gilt deutsches Urheberrecht. Das Dokument darf zum eigenen Gebrauch kostenfrei genutzt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.
dc.subject Quantum cellular automata eng
dc.subject Lieb–Robinson bounds eng
dc.subject translation-invariant states eng
dc.subject.ddc 530 | Physik ger
dc.title Time asymptotics and entanglement generation of Clifford quantum cellular automata eng
dc.type article
dc.type Text
dc.relation.essn 1089-7658
dc.relation.issn 0022-2488
dc.relation.doi https://doi.org/10.1063/1.3278513
dc.bibliographicCitation.issue 1
dc.bibliographicCitation.volume 51
dc.bibliographicCitation.firstPage 15203
dc.description.version publishedVersion
tib.accessRights frei zug�nglich

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