Quantum error correction for quantum memories

BM Terhal - Reviews of Modern Physics, 2015 - APS
Active quantum error correction using qubit stabilizer codes has emerged as a promising,
but experimentally challenging, engineering program for building a universal quantum …

Decoding algorithms for surface codes

A deMarti iOlius, P Fuentes, R Orús, PM Crespo… - Quantum, 2024 - quantum-journal.org
Quantum technologies have the potential to solve certain computationally hard problems
with polynomial or super-polynomial speedups when compared to classical methods …

Scalable surface-code decoders with parallelization in time

X Tan, F Zhang, R Chao, Y Shi, J Chen - PRX Quantum, 2023 - APS
Fast classical processing is essential for most quantum fault-tolerance architectures. We
introduce a sliding-window decoding scheme that provides fast classical processing for the …

Dissipative phase transitions and passive error correction

YJ Liu, S Lieu - Physical Review A, 2024 - APS
We classify different ways to passively protect classical and quantum information, ie, we do
not allow for syndrome measurements, in the context of local Lindblad models for spin …

Local predecoder to reduce the bandwidth and latency of quantum error correction

SC Smith, BJ Brown, SD Bartlett - Physical Review Applied, 2023 - APS
A fault-tolerant quantum computer will be supported by a classical decoding system
interfacing with quantum hardware to perform quantum error correction. It is important that …

Reinforcement learning decoders for fault-tolerant quantum computation

R Sweke, MS Kesselring… - Machine Learning …, 2020 - iopscience.iop.org
Topological error correcting codes, and particularly the surface code, currently provide the
most feasible road-map towards large-scale fault-tolerant quantum computation. As such …

Quantum error correction for the toric code using deep reinforcement learning

P Andreasson, J Johansson, S Liljestrand… - Quantum, 2019 - quantum-journal.org
We implement a quantum error correction algorithm for bit-flip errors on the topological toric
code using deep reinforcement learning. An action-value Q-function encodes the discounted …

Localized statistics decoding: A parallel decoding algorithm for quantum low-density parity-check codes

T Hillmann, L Berent, AO Quintavalle, J Eisert… - arxiv preprint arxiv …, 2024 - arxiv.org
Quantum low-density parity-check codes are a promising candidate for fault-tolerant
quantum computing with considerably reduced overhead compared to the surface code …

Tensor-network simulations of the surface code under realistic noise

AS Darmawan, D Poulin - Physical review letters, 2017 - APS
The surface code is a many-body quantum system, and simulating it in generic conditions is
computationally hard. While the surface code is believed to have a high threshold, the …

Decoding quantum color codes with MaxSAT

L Berent, L Burgholzer, PJHS Derks, J Eisert… - Quantum, 2024 - quantum-journal.org
In classical computing, error-correcting codes are well established and are ubiquitous both
in theory and practical applications. For quantum computing, error-correction is essential as …