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 …

Improved decoding of circuit noise and fragile boundaries of tailored surface codes

O Higgott, TC Bohdanowicz, A Kubica, ST Flammia… - Physical Review X, 2023 - APS
Realizing the full potential of quantum computation requires quantum error correction (QEC),
with most recent breakthrough demonstrations of QEC using the surface code. QEC codes …

NISQ+: Boosting quantum computing power by approximating quantum error correction

A Holmes, MR Jokar, G Pasandi, Y Ding… - 2020 ACM/IEEE 47th …, 2020 - ieeexplore.ieee.org
Quantum computers are growing in size, and design decisions are being made now that
attempt to squeeze more computation out of these machines. In this spirit, we design a …

Deep neural network probabilistic decoder for stabilizer codes

S Krastanov, L Jiang - Scientific reports, 2017 - nature.com
Neural networks can efficiently encode the probability distribution of errors in an error
correcting code. Moreover, these distributions can be conditioned on the syndromes of the …

Blind topological measurement-based quantum computation

T Morimae, K Fujii - Nature communications, 2012 - nature.com
Blind quantum computation is a novel secure quantum-computing protocol that enables
Alice, who does not have sufficient quantum technology at her disposal, to delegate her …

Quantum expander codes

A Leverrier, JP Tillich, G Zémor - 2015 IEEE 56th Annual …, 2015 - ieeexplore.ieee.org
We present an efficient decoding algorithm for constant rate quantum hyper graph-product
LDPC codes which provably corrects adversarial errors of weight proportional to the code …

[图书][B] Quantum Computation with Topological Codes: from qubit to topological fault-tolerance

K Fujii - 2015 - books.google.com
This book presents a self-consistent review of quantum computation with topological
quantum codes. The book covers everything required to understand topological fault …

Decoding color codes by projection onto surface codes

N Delfosse - Physical Review A—Atomic, Molecular, and Optical …, 2014 - APS
We propose a general strategy to decode color codes, which is based on the projection of
the error onto three surface codes. This provides a method to transform every decoding …

Practical and scalable decoder for topological quantum error correction with an Ising machine

J Fujisaki, H Oshima, S Sato, K Fujii - Physical Review Research, 2022 - APS
Quantum error correction is one of the most important milestones for the realization of large-
scale quantum computation. To achieve this, it is essential not only to integrate a large …

Fast decoders for qudit topological codes

H Anwar, BJ Brown, ET Campbell… - New Journal of …, 2014 - iopscience.iop.org
Qudit toric codes are a natural higher-dimensional generalization of the well-studied qubit
toric code. However, standard methods for error correction of the qubit toric code are not …