dc.contributor.author
Jahn, A.
dc.contributor.author
Gluza, M.
dc.contributor.author
Pastawski, F.
dc.contributor.author
Eisert, J.
dc.date.accessioned
2019-09-05T14:22:47Z
dc.date.available
2019-09-05T14:22:47Z
dc.identifier.uri
https://refubium.fu-berlin.de/handle/fub188/25429
dc.identifier.uri
http://dx.doi.org/10.17169/refubium-4133
dc.description.abstract
The AdS/CFT correspondence conjectures a holographic duality between gravity in a bulk space and a critical quantum field theory on its boundary. Tensor networks have come to provide toy models to understand these bulk-boundary correspondences, shedding light on connections between geometry and entanglement. We introduce a versatile and efficient framework for studying tensor networks, extending previous tools for Gaussian matchgate tensors in 1 + 1 dimensions. Using regular bulk tilings, we show that the critical Ising theory can be realized on the boundary of both flat and hyperbolic bulk lattices, obtaining highly accurate critical data. Within our framework, we also produce translation-invariant critical states by an efficiently contractible tensor network with the geometry of the multiscale entanglement renormalization ansatz. Furthermore, we establish a link between holographic quantum error–correcting codes and tensor networks. This work is expected to stimulate a more comprehensive study of tensor network models capturing bulk-boundary correspondences.
en
dc.format.extent
8 Seiten
dc.rights.uri
https://creativecommons.org/licenses/by-nc/4.0/
dc.subject
matchgate tensor networks
en
dc.subject.ddc
500 Naturwissenschaften und Mathematik::530 Physik::530 Physik
dc.title
Holography and criticality in matchgate tensor networks
dc.type
Wissenschaftlicher Artikel
dcterms.bibliographicCitation.articlenumber
eaaw0092
dcterms.bibliographicCitation.doi
10.1126/sciadv.aaw0092
dcterms.bibliographicCitation.journaltitle
Science advances
dcterms.bibliographicCitation.number
8
dcterms.bibliographicCitation.volume
5
dcterms.bibliographicCitation.url
https://doi.org/10.1126/sciadv.aaw0092
refubium.affiliation
Physik
refubium.resourceType.isindependentpub
no
dcterms.accessRights.openaire
open access
dcterms.isPartOf.eissn
2375-2548
refubium.resourceType.provider
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