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Color code is a promising topological code for fault-tolerant quantum computing.
Paths, trees, and flowers
Jack Edmonds · 1965
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Quantum mechanical computers
Richard P Feynman · 1985
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Good quantum error-correcting codes exist
A Robert Calderbank and Peter W Shor · 1996
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Multiple-particle interference and quantum error correction
Andrew Steane · 1996
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Stabilizer codes and quantum error correction
Daniel Gottesman · 1997
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Reliable quantum computers
John Preskill · 1998
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The heisenberg representation of quantum computers
Daniel Gottesman · 1998
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Polynomial-time algorithms for prime factorization and discrete logarithms on a quantum computer
Peter W Shor · 1999
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Simulation of topological field theories by quantum computers
Michael H Freedman, Alexei Kitaev, and Zhenghan Wang · 2002
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Topological quantum memory
Eric Dennis, Alexei Kitaev, Andrew Landahl, and John Preskill · 2002
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Improved simulation of stabilizer circuits
Scott Aaronson and Daniel Gottesman · 2004
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Improved simulation of stabilizer circuits
Scott Aaronson and Daniel Gottesman · 2004
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Universal quantum computation with ideal clifford gates and noisy ancillas
Sergey Bravyi and Alexei Kitaev · 2005
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Topological quantum distillation
Hector Bombin and Miguel Angel Martin-Delgado · 2006
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A fault-tolerant one-way quantum computer
Robert Raussendorf, Jim Harrington, and Kovid Goyal · 2006
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Restrictions on transversal encoded quantum gate sets
Bryan Eastin and Emanuel Knill · 2009
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Quantum computation and quantum information
Michael A Nielsen and Isaac L Chuang · 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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Surface code quantum computing with error rates over 1%
David S Wang, Austin G Fowler, and Lloyd CL Hollenberg · 2011
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Introduction to topological quantum computation
Jiannis K Pachos · 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
Cited alongside, same era.
Towards practical classical processing for the surface code
Austin G Fowler, Adam C Whiteside, and Lloyd CL Hollenberg · 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.
Magic-state distillation with low overhead
Sergey Bravyi and Jeongwan Haah · 2012
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Time-optimal quantum computation
Austin G Fowler · 2012
Cited alongside, same era.
Topological code autotune
Austin G Fowler, Adam C Whiteside, Angus L McInnes, and Alimohammad Rabbani · 2012
Magic state distillation: Not as costly as you think
Daniel Litinski · 2019
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Fault-tolerant magic state preparation with flag qubits
Christopher Chamberland and Andrew W Cross · 2019
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Triangular color codes on trivalent graphs with flag qubits
Christopher Chamberland, Aleksander Kubica, Theodore J Yoder, and Guanyu Zhu · 2020
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A fault-tolerant non-clifford gate for the surface code in two dimensions
Benjamin J Brown · 2020
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Very low overhead fault-tolerant magic state preparation using redundant ancilla encoding and flag qubits
Christopher Chamberland and Kyungjoo Noh · 2020
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Cost of universality: A comparative study of the overhead of state distillation and code switching with color codes
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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 thresholds for quantum error correction with the surface code
Ashley M Stephens · 2014
Cited alongside, same era.
Decoding color codes by projection onto surface codes
Nicolas Delfosse · 2014
Cited alongside, same era.
Quantum error correction for quantum memories
Barbara M Terhal · 2015
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A magic state’s fidelity can be superior to the operations that created it
Ying Li · 2015
Cited alongside, same era.
Trading classical and quantum computational resources
Sergey Bravyi, Graeme Smith, and John A Smolin · 2016
Cited alongside, same era.
Michael E Beverland, Aleksander Kubica, and Krysta M Svore · 2021
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Low-overhead quantum computing with the color code
Felix Thomsen, Markus S Kesselring, Stephen D Bartlett, and Benjamin J Brown · 2022
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Circuit-level protocol and analysis for twist-based lattice surgery
Christopher Chamberland and Earl T Campbell · 2022
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Universal quantum computing with twist-free and temporally encoded lattice surgery
Christopher Chamberland and Earl T Campbell · 2022
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Magic state injection on the rotated surface code
Lingling Lao and Ben Criger · 2022
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High-fidelity magic-state preparation with a biased-noise architecture
Shraddha Singh, Andrew S Darmawan, Benjamin J Brown, and Shruti Puri · 2022
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Pymatching: A python package for decoding quantum codes with minimum-weight perfect matching
Oscar Higgott · 2022
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New magic state distillation factories optimized by temporally encoded lattice surgery
Prithviraj Prabhu and Christopher Chamberland · 2022
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The smallest code with transversal t
Stergios Koutsioumpas, Darren Banfield, and Alastair Kay · 2022
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Decoder for the triangular color code by matching on a möbius strip
Kaavya Sahay and Benjamin J Brown · 2022
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Inplace access to the surface code y basis
Craig Gidney · 2023
Closest in time.
New circuits and an open source decoder for the color code
Craig Gidney and Cody Jones · 2023
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Improved decoding of circuit noise and fragile boundaries of tailored surface codes
Oscar Higgott, Thomas C Bohdanowicz, Aleksander Kubica, Steven T Flammia, and Earl T Campbell · 2023
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Anyon condensation and the color code
Markus S Kesselring, Julio C Magdalena de la Fuente, Felix Thomsen, Jens Eisert, Stephen D Bartlett, and Benjamin J Brown · 2024
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