Error tolerance of topological codes with independent bit-flip and measurement errors

Topological quantum error correction codes are currently among the most promising candidates for efficiently dealing with the decoherence effects inherently present in quantum devices. Numerically, their theoretical error threshold can be calculated by mapping the underlying quantum problem to a rel...

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Bibliographic Details
Authors: Andrist, Ruben S., Katzgraber, Helmut J., Bombin, H, Martín-Delgado Alcántara, Miguel Ángel
Format: article
Publication Date:2016
Country:España
Institution:Universidad Complutense de Madrid (UCM)
Repository:Docta Complutense
Language:English
OAI Identifier:oai:docta.ucm.es:20.500.14352/24579
Online Access:https://hdl.handle.net/20.500.14352/24579
Access Level:Open access
Keyword:53
Correcting codes
Quantum memory
Accuracy threshold
Computation
Anyons
Model
Física (Física)
22 Física
Description
Summary:Topological quantum error correction codes are currently among the most promising candidates for efficiently dealing with the decoherence effects inherently present in quantum devices. Numerically, their theoretical error threshold can be calculated by mapping the underlying quantum problem to a related classical statistical-mechanical spin system with quenched disorder. Here, we present results for the general fault-tolerant regime, where we consider both qubit and measurement errors. However, unlike in previous studies, here we vary the strength of the different error sources independently. Our results highlight peculiar differences between toric and color codes. This study complements previous results published in New J. Phys. 13, 083006 (2011).