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Laboratory hardware is rapidly progressing towards a state where quantum error-correcting codes can be realised.
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Peter W. Shor · 1995
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Fault-tolerant error correction with efficient quantum codes
David P. DiVincenzo and Peter W. Shor · 1996
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Stabilizer Codes and Quantum Error Correction
Daniel Gottesman · 1997
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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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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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Realization of quantum error correction
J. Chiaverini, D. Leibfried, T. Schaetz, M. D. Barrett, R. B. Blakestad, J. Britton, W. M. Itano, J. D. Jost, E. Knill, C. Langer, R. Ozeri, and D. J. Wineland · 2004
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Fault-tolerant quantum computation with long-range correlated noise
Dorit Aharonov, Alexei Kitaev, and John Preskill · 2006
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A fault-tolerant one-way quantum computer
R. Raussendorf, J. Harrington, and K. Goyal · 2006
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Fault-tolerant architectures for superconducting qubits
David P. DiVincenzo · 2009
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Fault-tolerant quantum computation versus gaussian noise
Hui Khoon Ng and John Preskill · 2009
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On thermalization in kitaev’s 2d model
R Alicki, M Fannes, and M Horodecki · 2009
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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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Self-correcting quantum memory in a thermal environment
Stefano Chesi, Beat Röthlisberger, and Daniel Loss · 2010
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Fast decoders for topological quantum codes
Guillaume Duclos-Cianci and David Poulin · 2010
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Error correction and degeneracy in surface codes suffering loss
Thomas M. Stace and Sean D. Barrett · 2010
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Graphical algorithms and threshold error rates for the 2D color code
David S. Wang, Austin G. Fowler, Charles D. Hill, and Lloyd C. L. Hollenberg · 2010
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Fault-tolerant quantum computing with color codes
Andrew J. Landahl, Jonas T. Anderson, and Patrick R. Rice · 2011
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Realization of three-qubit quantum error correction with superconducting circuits
M. D. Reed, L. DiCarlo, S. E. Nigg, L. Sun, L. Frunzio, S. M. Girvin, and R. J. Schoelkopf · 2012
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Topological code autotune
Austin G. Fowler, Adam C. Whiteside, Angus L. McInnes, and Alimohammad Rabbani · 2012
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High threshold error correction for the surface code
James R. Wootton and Daniel Loss · 2012
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Simulation of rare events in quantum error correction
Sergey Bravyi and Alexander Vargo · 2013
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Stability of topologically-protected quantum computing proposals as seen through spin glasses
H. G. Katzgraber and R. S. Andrist · 2013
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Sufficient condition on noise correlations for scalable quantum computing
John Preskill · 2013
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Surface code threshold in the presence of correlated errors
E. Novais and Eduardo R. Mucciolo · 2013
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Fidelity of the surface code in the presence of a bosonic bath
P. Jouzdani, E. Novais, and E. R. Mucciolo · 2013
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Topological quantum computing with a very noisy network and local error rates approaching one percent
Naomi H. Nickerson, Ying Li, and Simon C. Benjamin · 2013
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Optimal complexity correction of correlated errors in the surface code
Sergey Bravyi and Andrew Cross · 2015
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Single-shot fault-tolerant quantum error correction
Héctor Bombín · 2015
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Improved hdrg decoders for qudit and non-abelian quantum error correction
Adrian Hutter, Daniel Loss, and James R Wootton · 2015
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Demonstration of weight-four parity measurements in the surface code architecture
Maika Takita, A. D. Córcoles, Easwar Magesan, Baleegh Abdo, Markus Brink, Andrew Cross, Jerry M. Chow, and Jay M. Gambetta · 2016
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Methodology for bus layout for topological quantum error correcting codes
Martin Wosnitzka, Fabio L. Pedrocchi, and David P. DiVincenzo · 2016
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Austin G. Fowler · 2013
Cited alongside, same era.
Superconducting quantum circuits at the surface code threshold for fault tolerance
R. Barends, J. Kelly, A. Megrant, A. Veitia, D. Sank, E. Jeffrey, T. C. White, J. Mutus, A. G. Fowler, B. Campbell, Y. Chen, Z. Chen, B. Chiaro, A. Dunsworth, C. Neill, P. O’Malley, P. Roushan, A. Vainsencher, J. Wenner, A. N. Korotkov, A. N. Cleland, and John M. Martinis · 2014
Cited alongside, same era.
Quantum computations on a topologically encoded qubit
D. Nigg, M. Müller, E. A. Martinez, P. Schindler, M. Hennrich, T. Monz, M. A. Martin-Delgado, and R. Blatt · 2014
Cited alongside, same era.
Logical error rate scaling of the toric code
Fern H. E. Watson and Sean D. Barrett · 2014
Cited alongside, same era.
Fidelity threshold of the surface code beyond single-qubit error models
Pejman Jouzdani, E. Novais, I. S. Tupitsyn, and Eduardo R. Mucciolo · 2014
Cited alongside, same era.
Breakdown of surface-code error correction due to coupling to a bosonic bath
Adrian Hutter and Daniel Loss · 2014
Cited alongside, same era.
Quantifying the effects of local many-qubit errors and nonlocal two-qubit errors on the surface code
Austin G. Fowler and John M. Martinis · 2014
Cited alongside, same era.
J. Kelly, R. Barends, A. G. Fowler, A. Megrant, E. Jeffrey, T. C. White, D. Sank, J. Y. Mutus, B. Campbell, Yu Chen, Z. Chen, B. Chiaro, A. Dunsworth, E. Lucero, M. Neeley, C. Neill, P. J. J. O’Malley, C. Quintana, P. Roushan, A. Vainsencher, J. Wenner, and John M. Martinis · 2016
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Resilience to time-correlated noise in quantum computation
Héctor Bombín · 2016
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Roads towards fault-tolerant universal quantum computation
Earl T. Campbell, Barbara M. Terhal, and Christophe Vuillot · 2017
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Tensor-network simulations of the surface code under realistic noise
Andrew S. Darmawan and David Poulin · 2017
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A small quantum computer is needed to optimize fault-tolerant protocols
Pavithran S. Iyer and David Poulin · 2017
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Surface code fidelity at finite temperatures
E. Novais, A. J. Stanforth, and Eduardo R. Mucciolo · 2017
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Long-time efficacy of the surface code in the presence of a super-ohmic environment
D. A. López-Delgado, E. Novais, E. R. Mucciolo, and A. O. Caldeira · 2017
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Learning time-dependent noise to reduce logical errors: real time error rate estimation in quantum error correction
Ming-Xia Huo and Ying Li · 2017
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Deep neural network probabilistic decoder for stabilizer codes
Stefan Krastanov and Liang Jiang · 2017
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Surface code error correction on a defective lattice
Shota Nagayama, Austin G Fowler, Dominic Horsman, Simon J Devitt, and Rodney Van Meter · 2017
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Fault-tolerance thresholds for the surface code with fabrication errors
James M. Auger, Hussain Anwar, Mercedes Gimeno-Segovia, Thomas M. Stace, and Dan E. Browne · 2017
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Almost-linear time decoding algorithm for topological codes
Nicolas Delfosse and Naomi H. Nickerson · 2017
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Neural decoder for topological codes
Giacomo Torlai and Roger G. Melko · 2017
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Correcting coherent errors with surface codes
Sergey Bravyi, Matthias Englbrecht, Robert König, and Nolan Peard · 2018
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Statistical mechanical models for quantum codes with correlated noise
Christopher T. Chubb and Steven T. Flammia · 2018
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Adaptive weight estimator for quantum error correction in a time-dependent environment
S. T. Spitz, B. Tarasinkski, C. W. J. Beenakker, and T. E. O’Brien · 2018
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Multi-path summation for deocding2D topological codes
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Machine-learning-assisted correction of correlated qubit errors in a topological code
P. Baireuther, T. E. O’Brien, B. Tarasinkski, and C. W. J. Beenakker · 2018
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Advantages of versatile neural-network decoding for topological codes
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Ultrahigh error threshold for surface codes with biased noise
David K. Tuckett, Stephen D. Bartlett, and Steven T. Flammia · 2018
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Decoding small surface codes with feedforward neural networks
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