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Single-shot error correction corrects data noise using only a single round of noisy measurements on the data qubits, removing the need for intensive measurement repetition.
Paths, trees, and flowers
Jack Edmonds · 1965
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Near shannon limit performance of low density parity check codes
David JC MacKay and Radford M Neal · 1997
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Multicritical dynamics for the ± \pm J Ising model
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Topological quantum memory
Eric Dennis, Alexei Kitaev, Andrew Landahl, and John Preskill · 2002
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Confinement-higgs transition in a disordered gauge theory and the accuracy threshold for quantum memory
Chenyang Wang, Jim Harrington, and John Preskill · 2003
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Phase structure of the random-plaquette ℤ 2 \mathbb{Z}_{2} gauge model: Accuracy threshold for a toric quantum memory
Takuya Ohno, Gaku Arakawa, Ikuo Ichinose, and Tetsuo Matsui · 2004
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Self-dual random-plaquette gauge model and the quantum toric code
Koujin Takeda and Hidetoshi Nishimori · 2004
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Analysis of quantum error-correcting codes: symplectic lattice codes and toric codes
J Harrington · 2004
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Topological fault-tolerance in cluster state quantum computation
R Raussendorf, J Harrington, and K Goyal · 2007
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Magnetic-glassy multicritical behavior of the three-dimensional ± \pm J Ising model
Martin Hasenbusch, Francesco Parisen Toldin, Andrea Pelissetto, and Ettore Vicari · 2007
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High-threshold universal quantum computation on the surface code
Austin G. Fowler, Ashley M. Stephens, and Peter Groszkowski · 2009
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Blossom V: A new implementation of a minimum cost perfect matching algorithm
Vladimir Kolmogorov · 2009
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Time-optimal quantum computation
Austin G Fowler · 2012
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Surface codes: Towards practical large-scale quantum computation
Austin G. Fowler, Matteo Mariantoni, John M. Martinis, and Andrew N. Cleland · 2012
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Fault tolerance of quantum low-density parity check codes with sublinear distance scaling
Alexey A. Kovalev and Leonid P. Pryadko · 2013
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Quantum LDPC codes with positive rate and minimum distance proportional to the square root of the blocklength
Jean-Pierre Tillich and Gilles Zémor · 2014
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Homological product codes
Sergey Bravyi and Matthew B Hastings · 2014
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Single-shot fault-tolerant quantum error correction
Héctor Bombín · 2015
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Anthony Leverrier, Jean-Pierre Tillich, and Gilles Zémor · 2015
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Quantum error correction for quantum memories
Barbara M Terhal · 2015
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On tensor products of CSS codes
Benjamin Audoux and Alain Couvreur · 2015
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Foliated quantum error-correcting codes
A Bolt, G Duclos-Cianci, D Poulin, and TM Stace · 2016
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Resilience to time-correlated noise in quantum computation
Héctor Bombín · 2016
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Fault-tolerant error correction with the gauge color code
Benjamin J. Brown, Naomi H. Nickerson, and Dan E. Browne · 2016
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Joschka Roffe · 2019
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A fault-tolerant non-Clifford gate for the surface code in two dimensions
Benjamin J Brown · 2019
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Generating fault-tolerant cluster states from crystal structures
Michael Newman, Leonardo Andreta de Castro, and Kenneth R Brown · 2019
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Cellular-Automaton Decoders with Provable Thresholds for Topological Codes
Aleksander Kubica and John Preskill · 2019
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A theory of single-shot error correction for adversarial noise
Earl T Campbell · 2019
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Constructions and noise threshold of hyperbolic surface codes
Nikolas P Breuckmann and Barbara M Terhal · 2016
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Measurement based fault tolerance beyond foliation
Naomi Nickerson and Héctor Bombín · 2018
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Hector Bombin · 2018
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Renormalization group decoder for a four-dimensional toric code
Kasper Duivenvoorden, Nikolas P Breuckmann, and Barbara M Terhal · 2018
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The ABCs of the Color Code: A Study of Topological Quantum Codes as Toy Models for Fault-Tolerant Quantum Computation and Quantum Phases Of Matter
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Arun B. Aloshious and Pradeep Kiran Sarvepalli · 2019
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Higher-dimensional quantum hypergraph-product codes with finite rates
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Degenerate quantum LDPC codes with good finite length performance
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Constant Time Decoding of Quantum Expander Codes and Application to Fault-Tolerant Quantum Computation
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Single-shot decoding of linear rate LDPC quantum codes with high performance
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Cellular automaton decoders for topological quantum codes with noisy measurements and beyond
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