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arXiv · 1703.01517

Linear-Time Maximum Likelihood Decoding of Surface Codes over the Quantum Erasure Channel

Nicolas Delfosse·Gilles Zémor
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Abstract

Surface codes are among the best candidates to ensure the fault-tolerance of a quantum computer. In order to avoid the accumulation of errors during a computation, it is crucial to have at our disposal a fast decoding algorithm to quickly identify and correct errors as soon as they occur. We propose a linear-time maximum likelihood decoder for surface codes over the quantum erasure channel. This decoding algorithm for dealing with qubit loss is optimal both in terms of performance and speed.

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Nicolas Delfosse, Gilles Zémor. 2017-03-04. Linear-Time Maximum Likelihood Decoding of Surface Codes over the Quantum Erasure Channel. https://doi.org/10.1103/physrevresearch.2.033042

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