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Low-distance Surface Codes under Realistic Quantum Noise

Yu Tomita and Krysta M. Svore

Abstract

We study the performance of distance-three surface code layouts under realistic multi-parameter noise models. We first calculate their thresholds under depolarizing noise. We then compare a Pauli-twirl approximation of amplitude and phase damping to amplitude and phase damping. We find the approximate channel results in a pessimistic estimate of the logical error rate, indicating the realistic threshold may be higher than previously estimated. From Monte-Carlo simulations, we identify experimental parameters for which these layouts admit reliable computation. Due to its low resource cost and superior performance, we conclude that the 17-qubit layout should be targeted in early experimental implementations of the surface code. We find that architectures with gate times in the 5-40 ns range and T1 times in the 1-2 us range will exhibit improved logical error rates with a 17-qubit surface code encoding.

Details

Publication typeArticle
Published inPhysical Review A
DOI10.1103/PhysRevA.90.062320
Pages062320
Volume90
Number06
PublisherAPS
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