Quantum error correction with an Ising machine under circuit-level noise
Abstract
Efficient decoding to estimate error locations from outcomes of syndrome measurement is the prerequisite for quantum error correction. Decoding in presence of circuit-level noise including measurement errors should be considered in case of actual quantum computing devices. In this work, we develop a decoder for circuit-level noise that solves the error estimation problems as Ising-type optimization problems. We confirm that the threshold theorem in the surface code under the circuitlevel noise is reproduced with an error threshold of approximately 0.4%. We also demonstrate the advantage of the decoder through which the Y error detection rate can be improved compared with other matching-based decoders. Our results reveal that a lower logical error rate can be obtained using our algorithm compared with that of the minimum-weight perfect matching algorithm.
Cite
@article{arxiv.2308.00369,
title = {Quantum error correction with an Ising machine under circuit-level noise},
author = {Jun Fujisaki and Kazunori Maruyama and Hirotaka Oshima and Shintaro Sato and Tatsuya Sakashita and Yusaku Takeuchi and Keisuke Fujii},
journal= {arXiv preprint arXiv:2308.00369},
year = {2023}
}
Comments
13 pages, 14 figures