A proposal for self-correcting stabilizer quantum memories in 3 dimensions (or slightly less)

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dc.identifier.uri http://dx.doi.org/10.15488/401
dc.identifier.uri http://www.repo.uni-hannover.de/handle/123456789/424
dc.contributor.author Brell, Courtney G.
dc.date.accessioned 2016-08-12T08:30:55Z
dc.date.available 2016-08-12T08:30:55Z
dc.date.issued 2016-01-25
dc.identifier.citation Brell, Courtney G.: A proposal for self-correcting stabilizer quantum memories in 3 dimensions (or slightly less). In: New Journal of Physics 18 (2016), 13050. DOI: http://dx.doi.org/10.1088/1367-2630/18/1/013050
dc.description.abstract We propose a family of local CSS stabilizer codes as possible candidates for self-correcting quantum memories in 3D. The construction is inspired by the classical Ising model on a Sierpinski carpet fractal, which acts as a classical self-correcting memory. Our models are naturally defined on fractal subsets of a 4D hypercubic lattice with Hausdorff dimension less than 3. Though this does not imply that these models can be realized with local interactions in R3, we also discuss this possibility. The X and Z sectors of the code are dual to one another, and we show that there exists a finite temperature phase transition associated with each of these sectors, providing evidence that the system may robustly store quantum information at finite temperature. eng
dc.description.sponsorship DFG/EXC/201
dc.description.sponsorship ERC/QFTCMPS
dc.language.iso eng
dc.publisher Bristol : IOP Publishing Ltd.
dc.relation.ispartofseries New Journal of Physics 18 (2016)
dc.rights CC BY 3.0 Unported
dc.rights.uri https://creativecommons.org/licenses/by/3.0/de/
dc.subject quantum memory eng
dc.subject topological order eng
dc.subject topological codes eng
dc.subject.ddc 530 | Physik ger
dc.title A proposal for self-correcting stabilizer quantum memories in 3 dimensions (or slightly less) eng
dc.type article
dc.type Text
dc.relation.essn 1367-2630
dc.relation.doi http://dx.doi.org/10.1088/1367-2630/18/1/013050
dc.bibliographicCitation.volume 18
dc.bibliographicCitation.firstPage 13050
dc.description.version publishedVersion
tib.accessRights frei zug�nglich


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