Universidad Complutense de Madrid
E-Prints Complutense

Strong resilience of topological codes to depolarization

Impacto

Downloads

Downloads per month over past year

Bombin, H. and Ruben, S. Andrist and Masayuki, Ohzeki and Katzgraber, Helmut G. and Martín-Delgado Alcántara, Miguel Ángel (2012) Strong resilience of topological codes to depolarization. Physical review X, 2 (2). ISSN 2160-3308

[img]
Preview
PDF
Creative Commons Attribution.

1MB

Official URL: http://dx.doi.org/10.1103/PhysRevX.2.021004


URLURL Type
https://journals.aps.orgPublisher


Abstract

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.


Item Type:Article
Additional Information:

©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.

Uncontrolled Keywords:8-Vertex model; Lattice model; Ising-model; Spin-glass; Quantum; entanglement; Statistics; Memory.
Subjects:Sciences > Physics > Physics-Mathematical models
ID Code:47734
Deposited On:29 May 2018 10:51
Last Modified:29 May 2018 10:51

Origin of downloads

Repository Staff Only: item control page