Fault-tolerant noise guessing decoding of quantum random codes
<|reference_start|>Fault-tolerant noise guessing decoding of quantum random codes: This work addresses the open question of implementing fault-tolerant QRLCs with feasible computational overhead. We present a new decoder for quantum random linear codes (QRLCs) capable of dealing with imperfect decoding operations. A first approach, introduced by Cruz et al., only considered channel errors, and perfect gates at the decoder. Here, we analyze the fault-tolerant characteristics of QRLCs with a new noise-guessing decoding technique, when considering preparation, measurement, and gate errors in the syndrome extraction procedure, while also accounting for error degeneracy. Our findings indicate a threshold error rate ($\pth$) of approximately $\pnum$ in the asymptotic limit, while considering realistic noise levels in the mentioned physical procedures.<|reference_end|>
@article{cruz2024fault-tolerant,
    title={Fault-tolerant noise guessing decoding of quantum random codes},
    author={Diogo Cruz, Francisco A. Monteiro, Andr'e Roque, Bruno C. Coutinho},
    journal={arXiv preprint arXiv:2407.01658},
    year={2024},
    archivePrefix={arXiv},
    eprint={2407.01658},
    primaryClass={quant-ph cs.IT math.IT}
}