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Fault-tolerant architectures aim to reduce the noise of a quantum computation.
“Error correcting codes in quantum theory”
Andrew M. Steane · 1996
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“Stabilizer codes and quantum error correction”
Daniel Gottesman · 1997
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“Demonstrating the viability of universal quantum computation using teleportation and single-qubit operations”
Daniel Gottesman and Isaac L. Chuang · 1999
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“Robustness of entanglement”
Guifré Vidal and Rolf Tarrach · 1999
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“Entanglement and quantum computation with ions in thermal motion”
Anders Sørensen and Klaus Mølmer · 2000
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“Universal quantum computation with ideal Clifford gates and noisy ancillas”
Sergey Bravyi and Alexei Kitaev · 2005
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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: 10th anniversary edition”
Michael A. Nielsen and Isaac L. Chuang · 2011
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“Magic-state distillation with low overhead”
Sergey Bravyi and Jeongwan Haah · 2012
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“Logic synthesis for fault-tolerant quantum computers”
N. Cody Jones · 2013
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“Magic-state distillation with the four-qubit code”
Adam M. Meier, Bryan Eastin, and Emanuel Knill · 2013
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“Multilevel distillation of magic states for quantum computing”
Cody Jones · 2013
Earlier work this paper cites.
“Self-consistent quantum process tomography”
Seth T. Merkel, Jay M. Gambetta, John A. Smolin, Stefano Poletto, Antonio D. Córcoles, Blake R. Johnson, Colm A. Ryan, and Matthias Steffen · 2013
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“Estimating the coherence of noise”
Joel Wallman, Chris Granade, Robin Harper, and Steven T. Flammia · 2015
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“Noise tailoring for scalable quantum computation via randomized compiling”
Joel J. Wallman and Joseph Emerson · 2016
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“Minimizing resource overheads for fault-tolerant preparation of encoded states of the Steane code”
Hayato Goto · 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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“Demonstration of qubit operations below a rigorous fault tolerance threshold with gate set tomography”
Robin Blume-Kohout, John King Gamble, Erik Nielsen, Kenneth Rudinger, Jonathan Mizrahi, Kevin Fortier, and Peter Maunz · 2017
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“Unified framework for magic state distillation and multiqubit gate synthesis with reduced resource cost”
Earl T. Campbell and Mark Howard · 2017
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“Magic state distillation with low space overhead and optimal asymptotic input count”
Jeongwan Haah, Matthew B. Hastings, D. Poulin, and D. Wecker · 2017
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“The surface code with a twist”
Theodore J. Yoder and Isaac H. Kim · 2017
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“Tailored codes for small quantum memories”
Alan Robertson, Christopher Granade, Stephen D. Bartlett, and Steven T. Flammia · 2017
Cited alongside, same era.
“Quantum error correction decoheres noise”
Stefanie J. Beale, Joel J. Wallman, Mauricio Gutiérrez, Kenneth R. Brown, and Raymond Laflamme · 2018
Cited alongside, same era.
“Magic state parity-checker with pre-distilled components”
Earl T. Campbell and Mark Howard · 2018
Cited alongside, same era.
“Codes and Protocols for Distilling T T , controlled- S S , and Toffoli Gates”
Jeongwan Haah and Matthew B. Hastings · 2018
Cited alongside, same era.
“Ultrahigh error threshold for surface codes with biased noise”
David K. Tuckett, Stephen D. Bartlett, and Steven T. Flammia · 2018
Cited alongside, same era.
“Quantum error correction with only two extra qubits”
Rui Chao and Ben W. Reichardt · 2018
Cited alongside, same era.
“Bias-preserving gates with stabilized cat qubits”
Shruti Puri, Lucas St-Jean, Jonathan A. Gross, Alexander Grimm, Nicholas E. Frattini, Pavithran S. Iyer, Anirudh Krishna, Steven Touzard, Liang Jiang, Alexandre Blais, Steven T. Flammia, and S. M. Girvin · 2020
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“Fault-tolerant quantum error correction for Steane’s seven-qubit color code with few or no extra qubits”
Ben W. Reichardt · 2020
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“Realization of real-time fault-tolerant quantum error correction”
C. Ryan-Anderson, J. G. Bohnet, K. Lee, D. Gresh, A. Hankin, J. P. Gaebler, D. Francois, A. Chernoguzov, D. Lucchetti, N. C. Brown, T. M. Gatterman, S. K. Halit, K. Gilmore, J. A. Gerber, B. Neyenhuis, D. Hayes, and R. P. Stutz · 2021
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“The XZZX surface code”
J. Pablo Bonilla Ataides, David K. Tuckett, Stephen D. Bartlett, Steven T. Flammia, and Benjamin J. Brown · 2021
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“Practical quantum error correction with the XZZX code and kerr-cat qubits”
Andrew S. Darmawan, Benjamin J. Brown, Arne L. Grimsmo, David K. Tuckett, and Shruti Puri · 2021
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“Performance of quantum error correction with coherent errors”
Eric Huang, Andrew C. Doherty, and Steven Flammia · 2019
Cited alongside, same era.
“Magic State Distillation: Not as Costly as You Think”
Daniel Litinski · 2019
Cited alongside, same era.
“Characterizing large-scale quantum computers via cycle benchmarking”
Alexander Erhard, Joel J. Wallman, Lukas Postler, Michael Meth, Roman Stricker, Esteban A. Martinez, Philipp Schindler, Thomas Monz, Joseph Emerson, and Rainer Blatt · 2019
Cited alongside, same era.
“Statistical analysis of randomized benchmarking”
Robin Harper, Ian Hincks, Chris Ferrie, Steven T. Flammia, and Joel J. Wallman · 2019
Cited alongside, same era.
“Robustness of Magic and Symmetries of the Stabiliser Polytope”
Markus Heinrich and David Gross · 2019
Cited alongside, same era.
“Quantifying magic for multi-qubit operations”
James R. Seddon and Earl T. Campbell · 2019
Cited alongside, same era.
“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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“Assessing requirements to scale to practical quantum advantage” (2022)
Michael E. Beverland, Prakash Murali, Matthias Troyer, Krysta M. Svore, Torsten Hoefler, Vadym Kliuchnikov, Guang Hao Low, Mathias Soeken, Aarthi Sundaram, and Alexander Vaschillo · 2022
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“Demonstration of fault-tolerant universal quantum gate operations”
Lukas Postler, Sascha Heußen, Ivan Pogorelov, Manuel Rispler, Thomas Feldker, Michael Meth, Christian D. Marciniak, Roman Stricker, Martin Ringbauer, Rainer Blatt, Philipp Schindler, M. Muller, and Thomas Monz · 2022
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“Logical-qubit operations in an error-detecting surface code”
J. F. Marques, B. M. Varbanov, M. S. Moreira, H. Ali, N. Muthusubramanian, C. Zachariadis, F. Battistel, M. Beekman, N. Haider, W. Vlothuizen, A. Bruno, B. M. Terhal, and L. DiCarlo · 2022
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“Fast bayesian tomography of a two-qubit gate set in silicon”
T. J. Evans, W. Huang, J. Yoneda, R. Harper, T. Tanttu, K. W. Chan, F. E. Hudson, K. M. Itoh, A. Saraiva, C. H. Yang, A. S. Dzurak, and S. D. Bartlett · 2022
Later among the works it cites.
“High-fidelity magic-state preparation with a biased-noise architecture”
Shraddha Singh, Andrew S. Darmawan, Benjamin J. Brown, and Shruti Puri · 2022
Later among the works it cites.
“Efficient diagnostics for quantum error correction”
Pavithran Iyer, Aditya Jain, Stephen D. Bartlett, and Joseph Emerson · 2022
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“Bias in error-corrected quantum sensing”
Ivan Rojkov, David Layden, Paola Cappellaro, Jonathan Home, and Florentin Reiter · 2022
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“Hardware-efficient, fault-tolerant quantum computation with Rydberg atoms”
Iris Cong, Harry Levine, Alexander Keesling, Dolev Bluvstein, Sheng-Tao Wang, and Mikhail D. Lukin · 2022
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“Demonstrating multi-round subsystem quantum error correction using matching and maximum likelihood decoders”
Neereja Sundaresan, Theodore J. Yoder, Youngseok Kim, Muyuan Li, Edward H. Chen, Grace Harper, Ted Thorbeck, Andrew W. Cross, Antonio D. Córcoles, and Maika Takita · 2023
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“Improved quantum error correction with randomized compiling”
Aditya Jain, Pavithran Iyer, Stephen D. Bartlett, and Joseph Emerson · 2023
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“Strategies for a practical advantage of fault-tolerant circuit design in noisy trapped-ion quantum computers”
Sascha Heußen, Lukas Postler, Manuel Rispler, Ivan Pogorelov, Christian D. Marciniak, Thomas Monz, Philipp Schindler, and Markus Müller · 2023
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“High-threshold codes for neutral-atom qubits with biased erasure errors”
Kaavya Sahay, Junlan Jin, Jahan Claes, Jeff D. Thompson, and Shruti Puri · 2023
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“Logical quantum processor based on reconfigurable atom arrays”
Dolev Bluvstein, Simon J. Evered, Alexandra A. Geim, Sophie H. Li, Hengyun Zhou, Tom Manovitz, Sepehr Ebadi, Madelyn Cain, Marcin Kalinowski, Dominik Hangleiter, J. Pablo Bonilla Ataides, Nishad Maskara, Iris Cong, Xun Gao, Pedro Sales Rodriguez, Thomas Karolyshyn, Giulia Semeghini, Michael J. Gullans, Markus Greiner, Vladan Vuletić, and Mikhail D. Lukin · 2024
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“Encoding a magic state with beyond break-even fidelity”
Riddhi S. Gupta, Neereja Sundaresan, Thomas Alexander, Christopher J. Wood, Seth T. Merkel, Michael B. Healy, Marius Hillenbrand, Tomas Jochym-O’Connor, James R. Wootton, Theodore J. Yoder, Andrew W. Cross, Maika Takita, and Benjamin J. Brown · 2024
Closest in time.