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The large-scale execution of quantum algorithms requires basic quantum operations to be implemented fault-tolerantly.
Algorithms for quantum computation: Discrete logarithms and factoring
Peter W Shor · 1994
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Error correcting codes in quantum theory
Andrew M Steane · 1996
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Concatenated quantum codes
Emanuel Knill and Raymond Laflamme · 1996
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The heisenberg representation of quantum computers
Daniel Gottesman · 1998
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Fault-tolerant quantum computation with higher-dimensional systems
Daniel Gottesman · 1998
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Topological quantum memory
Eric Dennis, Alexei Kitaev, Andrew Landahl, and John Preskill · 2002
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Fault-tolerant quantum computation by anyons
A Yu Kitaev · 2003
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Stabilizer formalism for operator quantum error correction
David Poulin · 2005
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Operator quantum error-correcting subsystems for self-correcting quantum memories
Dave Bacon · 2006
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Fault-tolerant quantum computation with high threshold in two dimensions
Robert Raussendorf and Jim Harrington · 2007
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Quantum measurements and gates by code deformation
Héctor Bombín and Miguel A Martin-Delgado · 2009
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Topological order with a twist: Ising anyons from an abelian model
Héctor Bombín · 2010
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Quantum algorithm zoo
Stephen Jordan · 2011
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Surface code quantum computing with error rates over 1%
David S Wang, Austin G Fowler, and Lloyd CL Hollenberg · 2011
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Clifford gates by code deformation
H Bombin · 2011
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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
Cited alongside, same era.
Surface code quantum computing by lattice surgery
Clare Horsman, Austin G Fowler, Simon Devitt, and Rodney Van Meter · 2012
Cited alongside, same era.
Fault-tolerant quantum computing by code deformation
Sergey Bravyi · 2016
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Fault-tolerant interface between quantum memories and quantum processors
Hendrik Poulsen Nautrup, Nicolai Friis, and Hans J. Briegel · 2017
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Poking holes and cutting corners to achieve clifford gates with the surface code
Benjamin J. Brown, Katharina Laubscher, Markus S. Kesselring, and James R. Wootton · 2017
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The zx calculus is a language for surface code lattice surgery
Niel de Beaudrap and Dominic Horsman · 2017
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Lattice Surgery with a Twist: Simplifying Clifford Gates of Surface Codes
Daniel Litinski and Felix von Oppen · 2018
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Universal fault-tolerant quantum computation with only transversal gates and error correction
Adam Paetznick and Ben W Reichardt · 2013
Cited alongside, same era.
Quantum computing by color-code lattice surgery
Andrew J Landahl and Ciaran Ryan-Anderson · 2014
Cited alongside, same era.
Fault-tolerant conversion between the steane and reed-muller quantum codes
Jonas T Anderson, Guillaume Duclos-Cianci, and David Poulin · 2014
Cited alongside, same era.
Detecting bit-flip errors in a logical qubit using stabilizer measurements
Diego Ristè, Stefano Poletto, M-Z Huang, Alessandro Bruno, Visa Vesterinen, O-P Saira, and Leonardo DiCarlo · 2015
Cited alongside, same era.
State preservation by repetitive error detection in a superconducting quantum circuit
Julian Kelly, R Barends, AG Fowler, A Megrant, E Jeffrey, TC White, D Sank, JY Mutus, B Campbell, Yu Chen, et al · 2015
Cited alongside, same era.
A. G. Fowler and C. Gidney · 2018
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Universal Quantum Computing with 3D Surface Codes
M. Vasmer and D. E. Browne · 2018
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A theory of single-shot error correction for adversarial noise
E. T. Campbell · 2018
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Constant overhead quantum fault-tolerance with quantum expander codes
O. Fawzi, A. Grospellier, and A. Leverrier · 2018
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Rewiring stabilizer codes
Kristina Renee Colladay and Erich Mueller · 2018
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