High threshold error correction for the surface code

Physics – Quantum Physics

Scientific paper

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5 pages

Scientific paper

An algorithm is presented for error correction in the surface code quantum memory. This is shown to correct depolarizing noise up to a threshold error rate of $18.5 %$, exceeding previous results and coming close to the upper bound of $18.9 %$. The time complexity of the algorithm is found to be sub-exponential with the system size, offering a significant speed-up over brute force methods and allowing efficient error correction for codes of realistic sizes.

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