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 …
but experimentally challenging, engineering program for building a universal quantum …
Quantum memories at finite temperature
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 …
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) …
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 …
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 …
qubits} $. When viewed as a subsystem code, the code has no logical qubits. Nevertheless …
A fault-tolerant honeycomb memory
Abstract Recently, Hastings & Haah introduced a quantum memory defined on the
honeycomb lattice. Remarkably, this honeycomb code assembles weight-six parity checks …
honeycomb lattice. Remarkably, this honeycomb code assembles weight-six parity checks …
Improved decoding of circuit noise and fragile boundaries of tailored surface codes
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 …
with most recent breakthrough demonstrations of QEC using the surface code. QEC codes …
Weight-reduced stabilizer codes with lower overhead
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 …
form the basis of most proposals for a fault-tolerant quantum computer. A stabilizer code is …
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 …
correcting performance of subsystem codes. By changing the order in which check operators …