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Executing quantum applications with quantum error correction (QEC) faces the gate non-universality problem imposed by the Eastin-Knill theorem.
Multiple-particle interference and quantum error correction
Andrew Steane · 1996
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Quantum teleportation is a universal computational primitive
Daniel Gottesman and Isaac L Chuang · 1999
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Quantum computation and quantum information, 2002
Michael A Nielsen and Isaac Chuang · 2002
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Universal quantum computation with ideal clifford gates and noisy ancillas
Sergey Bravyi and Alexei Kitaev · 2005
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Revlib: An online resource for reversible functions and reversible circuits
Robert Wille, Daniel Große, Lisa Teuber, Gerhard W Dueck, and Rolf Drechsler · 2008
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Restrictions on transversal encoded quantum gate sets
Bryan Eastin and Emanuel Knill · 2009
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Fault-tolerant conversion between the steane and reed-muller quantum codes
Jonas T. Anderson, Guillaume Duclos-Cianci, and David Poulin · 2014
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Optimized surface code communication in superconducting quantum computers
Ali Javadi-Abhari, Pranav Gokhale, Adam Holmes, Diana Franklin, Kenneth R Brown, Margaret Martonosi, and Frederic T Chong · 2017
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Error suppression via complementary gauge choices in reed-muller codes
Christopher Chamberland and Tomas Jochym-O’Connor · 2017
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Automated optimization of large quantum circuits with continuous parameters
Yun Seong Nam, Neil J. Ross, Yuan Su, Andrew M. Childs, and Dmitrii L. Maslov · 2017
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Optimized surface code communication in superconducting quantum computers
Ali JavadiAbhari, Pranav Gokhale, Adam Holmes, Diana Franklin, Kenneth R. Brown, Margaret Martonosi, and Frederic T. Chong · 2017
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Quantum computing in the nisq era and beyond
John Preskill · 2018
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Magic-state functional units: Mapping and scheduling multi-level distillation circuits for fault-tolerant quantum architectures
Yongshan Ding, Adam Holmes, Ali JavadiAbhari, Diana Franklin, Margaret Martonosi, and Frederic T. Chong · 2018
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Deep neural decoders for near term fault-tolerant experiments
Christopher Chamberland and Pooya Ronagh · 2018
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Mapping of lattice surgery-based quantum circuits on surface code architectures
Lingling Lao, Bert van Wee, Imran Ashraf, J. van Someren, Nader Khammassi, Koen Bertels, and Carmen Garcia Almudever · 2018
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Fault-tolerant quantum error correction for steane’s seven-qubit color code with few or no extra qubits
B. Reichardt · 2018
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Fault-tolerant operation of a quantum error-correction code
Laird Egan, Dripto M Debroy, Crystal Noel, Andrew Risinger, Daiwei Zhu, Debopriyo Biswas, Michael Newman, Muyuan Li, Kenneth R Brown, Marko Cetina, et al · 2020
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Quantum computing with neutral atoms
Loïc Henriet, Lucas Beguin, Adrien Signoles, Thierry Lahaye, Antoine Browaeys, Georges-Olivier Reymond, and Christophe Jurczak · 2020
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Cost of universality: A comparative study of the overhead of state distillation and code switching with color codes
Michael E. Beverland, Aleksander Kubica, and Krysta M. Svore · 2021
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Autobraid: A framework for enabling efficient surface code communication in quantum computing
Fei Hua, Yan-Hao Chen, Yuwei Jin, Chi Zhang, Ari B. Hayes, Youtao Zhang, and Eddy Z. Zhang · 2021
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Stim: a fast stabilizer circuit simulator
Craig Gidney · 2021
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C. Chamberland, Aleksander Kubica, Theodore J. Yoder, and Guanyu Zhu · 2019
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Alexandru Paler · 2019
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Flag fault-tolerant error correction for any stabilizer code
R. Chao and B. Reichardt · 2019
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Pyzx: Large scale automated diagrammatic reasoning
Aleks Kissinger and John van de Wetering · 2019
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Fault-tolerant quantum error correction on near-term quantum processors using flag and bridge qubits
L. Lao and C. G. Almudéver · 2020
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Topological and subsystem codes on low-degree graphs with flag qubits
C. Chamberland, Guanyu Zhu, Theodore J. Yoder, J. Hertzberg, and A. Cross · 2020
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Qiskit: An open-source framework for quantum computing, 2021
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A synthesis framework for stitching surface code with superconducting quantum devices
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Implementing fault-tolerant entangling gates on the five-qubit code and the color code
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Realizing repeated quantum error correction in a distance-three surface code
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