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 …

Quantum memories at finite temperature

BJ Brown, D Loss, JK Pachos, CN Self… - Reviews of Modern Physics, 2016 - APS
To use quantum systems for technological applications one first needs to preserve their
coherence for macroscopic time scales, even at finite temperature. Quantum error correction …

Pymatching: A python package for decoding quantum codes with minimum-weight perfect matching

O Higgott - ACM Transactions on Quantum Computing, 2022 - dl.acm.org
This article introduces PyMatching, a fast open-source Python package for decoding
quantum error-correcting codes with the minimum-weight perfect matching (MWPM) …

Constructions and performance of hyperbolic and semi-hyperbolic floquet codes

O Higgott, NP Breuckmann - PRX Quantum, 2024 - APS
We construct families of Floquet codes derived from color-code tilings of closed hyperbolic
surfaces. These codes have weight-two check operators, a finite encoding rate and can be …

Dynamically generated logical qubits

MB Hastings, J Haah - Quantum, 2021 - quantum-journal.org
We present a quantum error correcting code with $\textit {dynamically generated logical
qubits} $. When viewed as a subsystem code, the code has no logical qubits. Nevertheless …

A fault-tolerant honeycomb memory

C Gidney, M Newman, A Fowler, M Broughton - Quantum, 2021 - quantum-journal.org
Abstract Recently, Hastings & Haah introduced a quantum memory defined on the
honeycomb lattice. Remarkably, this honeycomb code assembles weight-six parity checks …

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 …

Weight-reduced stabilizer codes with lower overhead

E Sabo, LG Gunderman, B Ide, M Vasmer… - PRX Quantum, 2024 - APS
Stabilizer codes are the most widely studied class of quantum error-correcting codes and
form the basis of most proposals for a fault-tolerant quantum computer. A stabilizer code is …

[HTML][HTML] The surface code with a twist

TJ Yoder, IH Kim - Quantum, 2017 - quantum-journal.org
The surface code is one of the most successful approaches to topological quantum error-
correction. It boasts the smallest known syndrome extraction circuits and correspondingly …

Subsystem codes with high thresholds by gauge fixing and reduced qubit overhead

O Higgott, NP Breuckmann - Physical Review X, 2021 - APS
We introduce a technique that uses gauge fixing to significantly improve the quantum-error-
correcting performance of subsystem codes. By changing the order in which check operators …