DOAJ Open Access 2025

Fault-Tolerant Noise Guessing Decoding of Quantum Random Codes

Diogo Cruz Francisco A. Monteiro Andre Roque Bruno C. Coutinho

Abstrak

This work addresses the open question of implementing fault-tolerant quantum random linear codes (QRLCs) with feasible computational overhead. We present a new decoder for QRLCs capable of dealing with imperfect decoding operations. A first approach, introduced by Cruz et al. (2023), 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 (<inline-formula><tex-math notation="LaTeX">${p_{\text{threshold}}}$</tex-math></inline-formula>) of approximately <inline-formula><tex-math notation="LaTeX">${2\times 10^{-5}}$</tex-math></inline-formula> in the asymptotic limit, while considering realistic noise levels in the mentioned physical procedures.

Topik & Kata Kunci

Atomic physics. Constitution and properties of matter Materials of engineering and construction. Mechanics of materials

Penulis (4)

Diogo Cruz

Francisco A. Monteiro

Andre Roque

Bruno C. Coutinho

Format Sitasi

APA MLA BibTeX

Cruz, D., Monteiro, F.A., Roque, A., Coutinho, B.C. (2025). Fault-Tolerant Noise Guessing Decoding of Quantum Random Codes. https://doi.org/10.1109/TQE.2025.3595778

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Informasi Jurnal

Tahun Terbit: 2025
Sumber Database: DOAJ
DOI: 10.1109/TQE.2025.3595778
Akses: Open Access ✓