RT Journal Article
T1 Strong resilience of topological codes to depolarization
A1 Bombin, H.
A1 Ruben, S. Andrist
A1 Masayuki, Ohzeki
A1 Katzgraber, Helmut G.
A1 Martín-Delgado Alcántara, Miguel Ángel
AB The inevitable presence of decoherence effects in systems suitable for quantum computation necessitates effective error-correction schemes to protect information from noise. We compute the stability of the toric code to depolarization by mapping the quantum problem onto a classical disordered eight-vertex Ising model. By studying the stability of the related ferromagnetic phase via both large-scale Monte Carlo simulations and the duality method, we are able to demonstrate an increased error threshold of 18.9(3)% when noise correlations are taken into account. Remarkably, this result agrees within error bars with the result for a different class of codes—topological color codes—where the mapping yields interesting new types of interacting eight-vertex models.
PB American Physical Society (APS)
SN 2160-3308
YR 2012
FD 2012-04-30
LK https://hdl.handle.net/20.500.14352/42816
UL https://hdl.handle.net/20.500.14352/42816
LA eng
NO ©2012 All authors. We would like to thank H. Nishimori and D. Poulin for useful discussions. M. A. M.-D. and H. B. thank the Spanish MICINN Grant No. FIS2009-10061, CAM research consortium QUITEMAD Grant No. S2009-ESP1594, European Commission PICC: FP7 2007-2013, Grant No. 249958, 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 Swiss National Science Foundation (Grant No. PP002-114713) and the National Science Foundation (Grant No. DMR-1151387). M. O. acknowledges financial support from Grant-in-Aid for Young Scientists (B) No. 20740218 by MEXT and Kyoto University’s GCOE Program Knowledge-Circulating Society. The authors acknowledge 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.
NO Spanish MICINN
NO CAM, Spain
NO European Commission PICC: FP7 2007-2013
NO UCM-BS
NO Industry Canada and Ontario MRI
NO Swiss National Science Foundation
NO National Science Foundation
NO MEXT and Kyoto University’s GCOE Program Knowledge-Circulating Society
DS Docta Complutense
RD 9 abr 2025