Quantum error correction (QEC) is an invaluable ingredient in any strategy that pursues the construction of reliable quantum computers. QEC Codes define methods through which to arrange the available qubits into subsets of noise-protected qubits. Surface codes and quantum low density parity check codes (QLDPC) are promising candidates to implement QEC strategies in near future quantum computers. The aim of this presentation is to showcase the recent developments we have made (in Tecnun) on the topic of decoding schemes for the aforementioned families of codes. This includes considering independent and non-identically distributed (i.ni.d.) noise present in state-of-the-art quantum processors and tailoring the decoding algorithms to this specific type of noise [1]. In addition, we will discuss different decoders for surface codes based on the MWPM and BP algorithms for i.i.d. unbiased and biased noise (Z-noise is predominant). We will introduce and explain our modifications to these decoders and we will show how the thresholds of the surface codes improve significantly when such decoders are applied under both i.i.d. and i.ni.d. noise.
[1] de Martí i Olius et al. Performance of surface codes in realistic quantum hardware. arXiv: 2203.15695 (2022).
*This work was supported by the Spanish Ministry of Economy and Competitiveness through the ADELE project (Grant No. PID2019-104958RB-C44), by the Spanish Ministry of Science and Innovation through the proyect Few-qubit quantum hardware, algorithms and codes, on photonic and solid-state systems (PLEC2021- 008251), by the Diputacion Foral de Gipuzkoa through the DECALOQC Project No. E 190 / 2021 (ES), by the Ministry of Economic Affairs and Digital Transformation of the Spanish Government through the QUANTUM ENIA project call - QUANTUM SPAIN project, and by the European Union through the Recovery, Transformation and Resilience Plan - NextGenerationEU within the framework of the Digital Spain 2025 Agenda. This work was funded in part by NSF Award No. CCF-2007689.
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Publication:[1] de Martí i Olius et al. Performance of surface codes in realistic quantum hardware. arXiv: 2203.15695 (2022).
Currently preparing an additional paper on the topic.
