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Many quantum technologies are now reaching a high level of maturity and control, and it is likely that the first demonstrations of suppression of naturally occurring quantum noise using small topological error correcting codes will soon be possible.
Scheme for reducing decoherence in quantum computer memory
Peter W. Shor · 1995
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Perfect Quantum Error Correcting Code
Raymond Laflamme, Cesar Miquel, Juan Pablo Paz, and Wojciech Hubert Zurek · 1996
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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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Universal quantum computation with ideal Clifford gates and noisy ancillas
Sergey Bravyi and Alexei Kitaev · 2005
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Operator quantum error-correcting subsystems for self-correcting quantum memories
Dave Bacon · 2006
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Topological quantum distillation
Héctor Bombín and M. A. Martin-Delgado · 2006
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Optimal resources for topological two-dimensional stabilizer codes: Comparative study
Héctor Bombín and M. a. Martin-Delgado · 2007
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Superconducting Nanocircuits for Topologically Protected Qubits
Sergey Gladchenko, David Olaya, Eva Dupont-Ferrier, Benoit Doucot, Lev B. Ioffe, and Michael E. Gershenson · 2008
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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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Surface code quantum computing with error rates over 1%
David S. Wang, Austin G. Fowler, and Lloyd C L Hollenberg · 2011
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Quantum Computation and Quantum Information
M.A. Nielsen and I.L. Chuang · 2011
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Fault-tolerant quantum computing with color codes, 2011
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, 2012
M. D. Reed, L. DiCarlo, S. E. Nigg, L. Sun, L. Frunzio, S. M. Girvin, and R. J. Schoelkopf · 2012
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Surface code quantum computing by lattice surgery
Clare Horsman, Austin G. Fowler, Simon Devitt, and Rodney Van Meter · 2012
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High Threshold Error Correction for the Surface Code
James R. Wootton and Daniel Loss · 2012
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Topological code autotune
Austin G. Fowler, Adam C. Whiteside, Angus L. McInnes, and Alimohammad Rabbani · 2012
Cited alongside, same era.
Optimal complexity correction of correlated errors in the surface code
AG Fowler · 2013
Cited alongside, same era.
Robust quantum phenomena for quantum information processing
Thomas A Close · 2013
Cited alongside, same era.
High-fidelity preparation, gates, memory and readout of a trapped-ion quantum bit
T P Harty, D T C Allcock, C J Ballance, L Guidoni, H a Janacek, N M Linke, D N Stacey, and D M Lucas · 2014
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.
Fast decoders for qudit topological codes
Hussain Anwar, Benjamin J Brown, Earl T Campbell, and Dan E Browne · 2014
Later among the works it cites.
Efficient fault-tolerant decoding of topological color codes
Ashley M. Stephens · 2014
Later among the works it cites.
Efficient Markov chain Monte Carlo algorithm for the surface code
Adrian Hutter, James R. Wootton, and Daniel Loss · 2014
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Demonstration of a quantum error detection code using a square lattice of four superconducting qubits
A.D. Córcoles, Easwar Magesan, Srikanth J. Srinivasan, Andrew W. Cross, M. Steffen, Jay M. Gambetta, and Jerry M. Chow · 2015
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State preservation by repetitive error detection in a superconducting quantum circuit
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, I.-C. Hoi, C Neill, P J J O/’Malley, C Quintana, P Roushan, A Vainsencher, J Wenner, A N Cleland, and John M Martinis · 2015
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Fast Scalable State Measurement with Superconducting Qubits
Evan Jeffrey, Daniel Sank, J. Y. Y Mutus, T. C. C White, J. Kelly, R. Barends, Y. Chen, Z. Chen, B. Chiaro, A. Dunsworth, A. Megrant, P. J. J. O’Malley, C. Neill, P. Roushan, A. Vainsencher, J. Wenner, a. N. N Cleland, John M. Martinis, P J J O Malley, and P. J. J. O’Malley · 2014
Cited alongside, same era.
High-fidelity spin entanglement using optimal control
Florian Dolde, Ville Bergholm, Ya Wang, Ingmar Jakobi, Boris Naydenov, Sébastien Pezzagna, Jan Meijer, Fedor Jelezko, Philipp Neumann, Thomas Schulte-Herbrüggen, Jacob Biamonte, and Jörg Wrachtrup · 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.
Quantum error correction in a solid-state hybrid spin register
G Waldherr, Y Wang, S Zaiser, M Jamali, T Schulte-Herbrüggen, H Abe, T Ohshima, J Isoya, J F Du, P Neumann, and J Wrachtrup · 2014
Cited alongside, same era.
Low-distance surface codes under realistic quantum noise
Yu Tomita and Krysta M Svore · 2014
Cited alongside, same era.
Trapped Ion Quantum Error Correcting Protocols Using Only Global Operations
Joseph F Goodwin, Benjamin J Brown, Graham Stutter, Howard Dale, Richard C Thompson, and Terry Rudolph · 2014
Cited alongside, same era.
Fault-tolerant thresholds for quantum error correction with the surface code
Ashley M. Stephens · 2014
Cited alongside, same era.
Repeated quantum error correction on a continuously encoded qubit by real-time feedback
Julia Cramer, Norbert Kalb, M. Adriaan Rol, Bas Hensen, Machiel S. Blok, Matthew Markham, Daniel J. Twitchen, Ronald Hanson, and Tim H. Taminiau · 2015
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Fault Tolerance with the Gauge Color Code
Benjamin J Brown, Naomi H Nickerson, and Dan E Browne · 2015
Later among the works it cites.
Gauge color codes: optimal transversal gates and gauge fixing in topological stabilizer codes
Héctor Bombín · 2015
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Single-Shot Fault-Tolerant Quantum Error Correction
Héctor Bombín · 2015
Later among the works it cites.
Doubled Color Codes
Sergey Bravyi and Andrew Cross · 2015
Later among the works it cites.
Stacked codes: universal fault-tolerant quantum computation in a two dimensional layout
Tomas Jochym O’Connor and Stephen Bartlett · 2015
Later among the works it cites.
Improved HDRG decoders for qudit and non-Abelian quantum error correction
Adrian Hutter, Daniel Loss, and James R. Wootton · 2015
Later among the works it cites.
High-Fidelity Quantum Logic Gates Using Trapped-Ion Hyperfine Qubits
C J Ballance, T P Harty, N M Linke, M A Sepiol, and D M Lucas · 2016
Closest in time.
Demonstration of a small programmable quantum computer with atomic qubits
S Debnath, N M Linke, C Figgatt, K A Landsman, K Wright, and C Monroe · 2016
Closest in time.
Noise thresholds for minimal surface code experiments
James R. Wootton, Janos R. Winkler, and Daniel Loss · 2016
Closest in time.