Neural-Network Decoders for Quantum Error Correction using Surface Codes:A Space Exploration of the Hardware Cost-Performance Trade-Offs

Autor: Ramon W. J. Overwater, Masoud Babaie, Fabio Sebastiano
Rok vydání: 2022
Předmět:
Decoding
fixed-point arithmetic
FOS: Physical sciences
pareto analysis
supervised learning
Codes
combinational circuits
Hardware
cryogenic electronics
Computer Science (miscellaneous)
Electrical and Electronic Engineering
surface codes (SCs)
Engineering (miscellaneous)
quantum-error-correction (QEC) codes
Computer Science::Information Theory
Quantum Physics
Artificial neural networks
complementary metal-oxide semiconductor (CMOS)
Mechanical Engineering
Logic gates
Application-specific integrated circuit (ASIC)
Quantum computing
CMOS integrated circuits
Condensed Matter Physics
NNs
Computer Science Applications
error correction codes
field programmable gate array (FPGA)
machine learning
cryo-CMOS decoding
Qubit
digital integrated circuits
feedforward neural networks (NNs)
Quantum Physics (quant-ph)
Software
Zdroj: IEEE Transactions on Quantum Engineering, 3
ISSN: 2689-1808
DOI: 10.48550/arxiv.2202.05741
Popis: Quantum Error Correction (QEC) is required in quantum computers to mitigate the effect of errors on physical qubits. When adopting a QEC scheme based on surface codes, error decoding is the most computationally expensive task in the classical electronic back-end. Decoders employing neural networks (NN) are well-suited for this task but their hardware implementation has not been presented yet. This work presents a space exploration of fully-connected feed-forward NN decoders for small distance surface codes. The goal is to optimize the neural network for high decoding performance, while keeping a minimalistic hardware implementation. This is needed to meet the tight delay constraints of real-time surface code decoding. We demonstrate that hardware based NN-decoders can achieve high decoding performance comparable to other state-of-the-art decoding algorithms whilst being well below the tight delay requirements $(\approx 440\ \mathrm{ns})$ of current solid-state qubit technologies for both ASIC designs $(
19 pages, 21 figures, 5 papers
Databáze: OpenAIRE