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Optimal error correction in topological subsystem codes

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dc.contributor.authorAndrist, Ruben S.
dc.contributor.authorBombin, H.
dc.contributor.authorKatzgraber, Helmut G.
dc.contributor.authorMartín-Delgado Alcántara, Miguel Ángel
dc.date.accessioned2023-06-20T00:37:25Z
dc.date.available2023-06-20T00:37:25Z
dc.date.issued2012-05-14
dc.description© 2012 American Physical Society. M.A.M.-D. and H.B. thank the Spanish MICINN Grant No. FIS2009-10061, CAM research consortium QUITEMAD S2009-ESP-1594, European Commission PICC: FP7 2007-2013, Grant No. 249958, and UCM-BS Grant No. GICC-910758.Work at the Perimeter Institute is supported by Industry Canada and Ontario MRI. H.G.K. acknowledges support from the SNF (Grant No. PP002-114713) and the NSF (Grant No. DMR-1151387). We thank ETH Zurich for CPU time on the Brutus cluster and the Centro de Supercomputación y Visualisación de Madrid (CeSViMa) for access to the Magerit-2 cluster.
dc.description.abstractA promising approach to overcome decoherence in quantum computing schemes is to perform active quantum error correction using topology. Topological subsystem codes incorporate both the benefits of topological and subsystem codes, allowing for error syndrome recovery with only 2-local measurements in a two-dimensional array of qubits. We study the error threshold for topological subsystem color codes under very general external noise conditions. By transforming the problem into a classical disordered spin model, we estimate using Monte Carlo simulations that topological subsystem codes have an optimal error tolerance of 5.5(2)%. This means there is ample space.
dc.description.departmentDepto. de Física Teórica
dc.description.facultyFac. de Ciencias Físicas
dc.description.refereedTRUE
dc.description.sponsorshipUnión Europea. FP7
dc.description.sponsorshipMinisterio de Ciencia e Innovación (MICINN)
dc.description.sponsorshipComunidad de Madrid
dc.description.sponsorshipUniversidad Complutense de Madrid/Banco de Santander
dc.description.sponsorshipIndustry Canada and Ontario MRI
dc.description.sponsorshipSNF
dc.description.sponsorshipNSF
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/47699
dc.identifier.doi10.1103/PhysRevA.85.050302
dc.identifier.issn1050-2947
dc.identifier.officialurlhttp://dx.doi.org/10.1103/PhysRevA.85.050302
dc.identifier.relatedurlhttps://journals.aps.org
dc.identifier.urihttps://hdl.handle.net/20.500.14352/42811
dc.issue.number5
dc.journal.titlePhysical review A
dc.language.isoeng
dc.publisherAmerican Physical Society
dc.relation.projectIDPICC (249958)
dc.relation.projectIDFIS2009-10061
dc.relation.projectIDQUITEMAD (S2009/ESP-1594)
dc.relation.projectIDGICC-910758
dc.relation.projectIDPP002-114713
dc.relation.projectIDDMR-1151387
dc.rights.accessRightsopen access
dc.subject.cdu53
dc.subject.keywordQuantum memory.
dc.subject.ucmFísica-Modelos matemáticos
dc.titleOptimal error correction in topological subsystem codes
dc.typejournal article
dc.volume.number85
dspace.entity.typePublication
relation.isAuthorOfPublication1cfed495-7729-410a-b898-8196add14ef6
relation.isAuthorOfPublication.latestForDiscovery1cfed495-7729-410a-b898-8196add14ef6

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