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The Shor fault-tolerant error correction (FTEC) scheme uses transversal gates and ancilla qubits prepared in the cat state in syndrome extraction circuits to prevent propagation of errors caused by gate faults.
“Fault-tolerant quantum computation”
P.W. Shor · 1996
Earlier work this paper cites.
“Threshold accuracy for quantum computation” (1996)
E. Knill, R. Laflamme, and W. Zurek · 1996
Earlier work this paper cites.
“Class of quantum error-correcting codes saturating the quantum hamming bound”
Daniel Gottesman · 1996
Earlier work this paper cites.
“Good quantum error-correcting codes exist”
A. R. Calderbank and Peter W. Shor · 1996
Earlier work this paper cites.
“Multiple-particle interference and quantum error correction”
Andrew Steane · 1996
Earlier work this paper cites.
“Quantum computations: algorithms and error correction”
A Yu Kitaev · 1997
Earlier work this paper cites.
“Threshold estimate for fault tolerant quantum computation” (1997)
Christof Zalka · 1997
Earlier work this paper cites.
“Stabilizer Codes and Quantum Error Correction”
Daniel Gottesman · 1997
Earlier work this paper cites.
“Reliable quantum computers”
John Preskill · 1998
Earlier work this paper cites.
“Quantum codes on a lattice with boundary” (1998)
S. B. Bravyi and A. Yu. Kitaev · 1998
Earlier work this paper cites.
“Topological quantum memory”
Eric Dennis, Alexei Kitaev, Andrew Landahl, and John Preskill · 2002
Earlier work this paper cites.
“Overhead and noise threshold of fault-tolerant quantum error correction”
Andrew M. Steane · 2003
Earlier work this paper cites.
“Fault-tolerant quantum computation for local non-markovian noise”
Barbara M. Terhal and Guido Burkard · 2005
Earlier work this paper cites.
“Fault-tolerant quantum computation with cluster states”
Michael A. Nielsen and Christopher M. Dawson · 2005
Earlier work this paper cites.
“Simple proof of fault tolerance in the graph-state model”
Panos Aliferis and Debbie W. Leung · 2006
Cited alongside, same era.
“Quantum accuracy threshold for concatenated distance-3 codes”
Panos Aliferis, Daniel Gottesman, and John Preskill · 2006
Cited alongside, same era.
“Topological quantum distillation”
H. Bombin and M. A. Martin-Delgado · 2006
Cited alongside, same era.
“Effective fault-tolerant quantum computation with slow measurements”
David P. DiVincenzo and Panos Aliferis · 2007
Cited alongside, same era.
“Fault-tolerant quantum computation with constant error rate”
Dorit Aharonov and Michael Ben-Or · 2008
Cited alongside, same era.
“Short shor-style syndrome sequences” (2020)
Nicolas Delfosse and Ben W. Reichardt · 2008
“Error rates and resource overheads of encoded three-qubit gates”
Ryuji Takagi, Theodore J. Yoder, and Isaac L. Chuang · 2017
Later among the works it cites.
“Quantum error correction with only two extra qubits”
Rui Chao and Ben W. Reichardt · 2018
Later among the works it cites.
“Flag fault-tolerant error correction with arbitrary distance codes”
Christopher Chamberland and Michael E. Beverland · 2018
Later among the works it cites.
“Fault-tolerant quantum error correction for Steane’s seven-qubit color code with few or no extra qubits”
Ben W Reichardt · 2020
Later among the works it cites.
“Flag fault-tolerant error correction for any stabilizer code”
Rui Chao and Ben W. Reichardt · 2020
Later among the works it cites.
“Flag fault-tolerant error correction, measurement, and quantum computation for cyclic Calderbank-Shor-Steane codes”
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Cited alongside, same era.
“Quantum computation and quantum information: 10th anniversary edition”
Michael A. Nielsen and Isaac L. Chuang · 2010
Cited alongside, same era.
“Fault-tolerant ancilla preparation and noise threshold lower boudds for the 23-qubit golay code”
Adam Paetznick and Ben W. Reichardt · 2012
Cited alongside, same era.
“Universal fault-tolerant quantum computation with only transversal gates and error correction”
Adam Paetznick and Ben W. Reichardt · 2013
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.
“Gauge color codes: optimal transversal gates and gauge fixing in topological stabilizer codes”
Hector Bombin · 2015
Cited alongside, same era.
“Universal transversal gates with color codes: A simplified approach”
Aleksander Kubica and Michael E. Beverland · 2015
Cited alongside, same era.
Theerapat Tansuwannont, Christopher Chamberland, and Debbie Leung · 2020
Later among the works it cites.
“Triangular color codes on trivalent graphs with flag qubits”
Christopher Chamberland, Aleksander Kubica, Theodore J Yoder, and Guanyu Zhu · 2020
Later among the works it cites.
“Topological and subsystem codes on low-degree graphs with flag qubits”
Christopher Chamberland, Guanyu Zhu, Theodore J. Yoder, Jared B. Hertzberg, and Andrew W. Cross · 2020
Later among the works it cites.
“Fault-tolerant quantum error correction using error weight parities”
Theerapat Tansuwannont and Debbie Leung · 2021
Later among the works it cites.
“Stim: a fast stabilizer circuit simulator”
Craig Gidney · 2021
Later among the works it cites.
“Achieving fault tolerance on capped color codes with few ancillas”
Theerapat Tansuwannont and Debbie Leung · 2022
Closest in time.
“Cirq v1.1.0 - a Python library for writing, manipulating, and optimizing quantum circuits and running them against quantum computers and simulators”
Cirq Developers · 2022
Closest in time.
“Optimization tools for distance-preserving flag fault-tolerant error correction” (2023)
Balint Pato, Theerapat Tansuwannont, Shilin Huang, and Kenneth R. Brown · 2023
Closest in time.