RT Journal Article
T1 Optimal error correction in topological subsystem codes
A1 Andrist, Ruben S.
A1 Bombin, H.
A1 Katzgraber, Helmut G.
A1 Martín-Delgado Alcántara, Miguel Ángel
AB A 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.
PB American Physical Society
SN 1050-2947
YR 2012
FD 2012-05-14
LK https://hdl.handle.net/20.500.14352/42811
UL https://hdl.handle.net/20.500.14352/42811
LA eng
NO © 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.
NO Unión Europea. FP7
NO Ministerio de Ciencia e Innovación (MICINN)
NO Comunidad de Madrid
NO Universidad Complutense de Madrid/Banco de Santander
NO Industry Canada and Ontario MRI
NO SNF
NO NSF
DS Docta Complutense
RD 6 may 2024