Absence of Localization in Two-Dimensional Clifford Circuits

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dc.identifier.uri http://dx.doi.org/10.15488/15365
dc.identifier.uri https://www.repo.uni-hannover.de/handle/123456789/15485
dc.contributor.author Farshi, Tom
dc.contributor.author Richter, Jonas
dc.contributor.author Toniolo, Daniele
dc.contributor.author Pal, Arijeet
dc.contributor.author Masanes, Lluis
dc.date.accessioned 2023-11-20T07:06:50Z
dc.date.available 2023-11-20T07:06:50Z
dc.date.issued 2023
dc.identifier.citation Farshi, T.; Richter, J.; Toniolo, D.; Pal, A.; Masanes, L.: Absence of Localization in Two-Dimensional Clifford Circuits. In: PRX Quantum 4 (2023), Nr. 3, 030302. DOI: https://doi.org/10.1103/prxquantum.4.030302
dc.description.abstract We analyze a Floquet circuit with random Clifford gates in one and two spatial dimensions. By using random graphs and methods from percolation theory, we prove in the two-dimensional (2D) setting that some local operators grow at a ballistic rate, which implies the absence of localization. In contrast, the one-dimensional model displays a strong form of localization, characterized by the emergence of left- and right-blocking walls in random locations. We provide additional insights by complementing our analytical results with numerical simulations of operator spreading and entanglement growth, which show the absence (presence) of localization in two dimensions (one dimension). Furthermore, we unveil how the spectral form factor of the Floquet unitary in 2D circuits behaves like that of quasifree fermions with chaotic single-particle dynamics, with an exponential ramp that persists up to times scaling linearly with the size of the system. Our work sheds light on the nature of disordered Floquet Clifford dynamics and their relationship to fully chaotic quantum dynamics. eng
dc.language.iso eng
dc.publisher College Park, MD : American Physical Society
dc.relation.ispartofseries PRX Quantum 4 (2023), Nr. 3
dc.rights CC BY 4.0 Unported
dc.rights.uri https://creativecommons.org/licenses/by/4.0
dc.subject Graph theory eng
dc.subject Particle size analysis eng
dc.subject Quantum theory eng
dc.subject Solvents eng
dc.subject Chaotics eng
dc.subject.ddc 530 | Physik
dc.title Absence of Localization in Two-Dimensional Clifford Circuits eng
dc.type Article
dc.type Text
dc.relation.essn 2691-3399
dc.relation.doi https://doi.org/10.1103/prxquantum.4.030302
dc.bibliographicCitation.issue 3
dc.bibliographicCitation.volume 4
dc.bibliographicCitation.firstPage 030302
dc.description.version publishedVersion
tib.accessRights frei zug�nglich

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