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Topological quantum error correction is a milestone in the scaling roadmap of quantum computers, which targets circuits with trillions of gates that would allow running quantum algorithms for real-world problems.
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“Good quantum error-correcting codes exist”
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David P. DiVincenzo and Peter W. Shor · 1996
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“Stabilizer codes and quantum error correction” (1997)
Daniel Gottesman · 1997
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Emanuel Knill, Raymond Laflamme, and Wojciech H. Zurek · 1998
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“Quantum codes on a lattice with boundary” (1998)
S. B. Bravyi and A. Yu. Kitaev · 1998
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“The heisenberg representation of quantum computers” (1998)
Daniel Gottesman · 1998
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“Dynamical decoupling of open quantum systems”
Lorenza Viola, Emanuel Knill, and Seth Lloyd · 1999
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“Quantum computation and quantum information”
Michael A. Nielsen and Isaac L. Chuang · 2000
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“Architecture for a large-scale ion-trap quantum computer”
D. Kielpinski, C. Monroe, and D. J. Wineland · 2002
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“Topological quantum memory”
Eric Dennis, Alexei Kitaev, Andrew Landahl, and John Preskill · 2002
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“Fault-tolerant quantum computation by anyons”
A.Yu. Kitaev · 2003
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“Improved simulation of stabilizer circuits”
Scott Aaronson and Daniel Gottesman · 2004
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“Fault-tolerant quantum dynamical decoupling”
K. Khodjasteh and D. A. Lidar · 2005
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“Quantum computing with realistically noisy devices”
E. Knill · 2005
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“Standard forms of noisy quantum operations via depolarization”
W. Dür, M. Hein, J. I. Cirac, and H.-J. Briegel · 2005
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“Quantum accuracy threshold for concatenated distance-3 codes”
Panos Aliferis, Daniel Gottesman, and John Preskill · 2006
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“Quantum error correcting subsystem codes from two classical linear codes” (2006)
Dave Bacon and Andrea Casaccino · 2006
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“Operator quantum error-correcting subsystems for self-correcting quantum memories”
Dave Bacon · 2006
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“Two-dimensional transport and transfer of a single atomic qubit in optical tweezers”
Jérôme Beugnon, Charles Tuchendler, Harold Marion, Alpha Gaëtan, Yevhen Miroshnychenko, Yvan R. P. Sortais, Andrew M. Lance, Matthew P. A. Jones, Gaétan Messin, Antoine Browaeys, and Philippe Grangier · 2007
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“Noise threshold for a fault-tolerant two-dimensional lattice architecture”
Krysta M. Svore, David P. Divincenzo, and Barbara M. Terhal · 2007
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“Subsystem fault tolerance with the bacon-shor code”
Panos Aliferis and Andrew W. Cross · 2007
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“Fault-tolerant quantum computation against biased noise”
Panos Aliferis and John Preskill · 2008
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“Dynamically error-corrected gates for universal quantum computation”
Kaveh Khodjasteh and Lorenza Viola · 2009
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“Complete methods set for scalable ion trap quantum information processing”
Jonathan P. Home, David Hanneke, John D. Jost, Jason M. Amini, Dietrich Leibfried, and David J. Wineland · 2009
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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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“Demonstration of two-qubit algorithms with a superconducting quantum processor”
L. DiCarlo, J. M. Chow, J. M. Gambetta, Lev S. Bishop, B. R. Johnson, D. I. Schuster, J. Majer, A. Blais, L. Frunzio, S. M. Girvin, and R. J. Schoelkopf · 2009
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“An introduction to quantum error correction and fault-tolerant quantum computation” (2009)
Daniel Gottesman · 2009
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“Threshold error rates for the toric and planar codes”
D. S. Wang, A. G. Fowler, A. M. Stephens, and L. C. L. Hollenberg · 2010
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“Topological subsystem codes”
H. Bombin · 2010
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“Simple all-microwave entangling gate for fixed-frequency superconducting qubits”
Jerry M. Chow, A. D. Córcoles, Jay M. Gambetta, Chad Rigetti, B. R. Johnson, John A. Smolin, J. R. Rozen, George A. Keefe, Mary B. Rothwell, Mark B. Ketchen, and M. Steffen · 2011
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“Combining dynamical decoupling with fault-tolerant quantum computation”
Hui Khoon Ng, Daniel A. Lidar, and John Preskill · 2011
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“Computing prime factors with a josephson phase qubit quantum processor”
Erik Lucero, R. Barends, Y. Chen, J. Kelly, M. Mariantoni, A. Megrant, P. O’Malley, D. Sank, A. Vainsencher, J. Wenner, T. White, Y. Yin, A. N. Cleland, and John M. Martinis · 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
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“Realization of three-qubit quantum error correction with superconducting circuits”
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”
Dominic Horsman, Austin G Fowler, Simon Devitt, and Rodney Van Meter · 2012
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“Initialization by measurement of a superconducting quantum bit circuit”
D. Ristè, J. G. van Leeuwen, H.-S. Ku, K. W. Lehnert, and L. DiCarlo · 2012
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John Napp and John Preskill · 2013
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“Deterministic entanglement of superconducting qubits by parity measurement and feedback”
D. Ristè, M. Dukalski, C. A. Watson, G. de Lange, M. J. Tiggelman, Ya. M. Blanter, K. W. Lehnert, R. N. Schouten, and L. DiCarlo · 2013
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“Efficient error models for fault-tolerant architectures and the pauli twirling approximation”
Michael R. Geller and Zhongyuan Zhou · 2013
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“Optimally combining dynamical decoupling and quantum error correction”
Gerardo A. Paz-Silva and D. A. Lidar · 2013
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“Review of decoherence-free subspaces, noiseless subsystems, and dynamical decoupling”
Daniel A. Lidar · 2014
Cited alongside, same era.
“Scalable mitigation of measurement errors on quantum computers”
Paul D. Nation, Hwajung Kang, Neereja Sundaresan, and Jay M. Gambetta · 2021
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“Quantum simulation and computing with Rydberg-interacting qubits”
M. Morgado and S. Whitlock · 2021
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“Demonstration of the trapped-ion quantum CCD computer architecture”
J. M. Pino et al · 2021
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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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“Compact ion-trap quantum computing demonstrator”
I. Pogorelov, T. Feldker, Ch. D. Marciniak, L. Postler, G. Jacob, O. Krieglsteiner, V. Podlesnic, M. Meth, V. Negnevitsky, M. Stadler, B. Höfer, C. Wächter, K. Lakhmanskiy, R. Blatt, P. Schindler, and T. Monz · 2021
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“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.
“Low-distance surface codes under realistic quantum noise”
Yu Tomita and Krysta M. Svore · 2014
Cited alongside, same era.
“Fault-tolerant thresholds for quantum error correction with the surface code”
Ashley M. Stephens · 2014
Cited alongside, same era.
“Implementing a strand of a scalable fault-tolerant quantum computing fabric”
Jerry M. Chow et al · 2014
Cited alongside, same era.
“Quantum error correction for quantum memories”
Barbara M. Terhal · 2015
Cited alongside, same era.
“State preservation by repetitive error detection in a superconducting quantum circuit”
J. Kelly et al · 2015
Cited alongside, same era.
“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
Cited alongside, same era.
“Dynamically Generated Logical Qubits”
Matthew B. Hastings and Jeongwan Haah · 2021
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“A Fault-Tolerant Honeycomb Memory”
Craig Gidney, Michael Newman, Austin Fowler, and Michael Broughton · 2021
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“Stim: a fast stabilizer circuit simulator”
Craig Gidney · 2021
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“Fault-tolerant parity readout on a shuttling-based trapped-ion quantum computer”
J. Hilder, D. Pijn, O. Onishchenko, A. Stahl, M. Orth, B. Lekitsch, A. Rodriguez-Blanco, M. Müller, F. Schmidt-Kaler, and U. G. Poschinger · 2022
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“A quantum processor based on coherent transport of entangled atom arrays”
Dolev Bluvstein, Harry Levine, Giulia Semeghini, Tout T. Wang, Sepehr Ebadi, Marcin Kalinowski, Alexander Keesling, Nishad Maskara, Hannes Pichler, Markus Greiner, Vladan Vuletić, and Mikhail D. Lukin · 2022
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“Realizing repeated quantum error correction in a distance-three surface code”
Sebastian Krinner, Nathan Lacroix, Ants Remm, Agustin Di Paolo, Elie Genois, Catherine Leroux, Christoph Hellings, Stefania Lazar, Francois Swiadek, Johannes Herrmann, Graham J. Norris, Christian Kraglund Andersen, Markus Müller, Alexandre Blais, Christopher Eichler, and Andreas Wallraff · 2022
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“Realization of an error-correcting surface code with superconducting qubits”
Youwei Zhao, Yangsen Ye, He-Liang Huang, Yiming Zhang, Dachao Wu, Huijie Guan, Qingling Zhu, Zuolin Wei, Tan He, Sirui Cao, Fusheng Chen, Tung-Hsun Chung, Hui Deng, Daojin Fan, Ming Gong, Cheng Guo, Shaojun Guo, Lianchen Han, Na Li, Shaowei Li, Yuan Li, Futian Liang, Jin Lin, Haoran Qian, Hao Rong, Hong Su, Lihua Sun, Shiyu Wang, Yulin Wu, Yu Xu, Chong Ying, Jiale Yu, Chen Zha, Kaili Zhang, Yong-Heng Huo, Chao-Yang Lu, Cheng-Zhi Peng, Xiaobo Zhu, and Jian-Wei Pan · 2022
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“Boundaries for the Honeycomb Code”
Jeongwan Haah and Matthew B. Hastings · 2022
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“Benchmarking the Planar Honeycomb Code”
Craig Gidney, Michael Newman, and Matt McEwen · 2022
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“Experimental demonstration of continuous quantum error correction”
William P. Livingston, Machiel S. Blok, Emmanuel Flurin, Justin Dressel, Andrew N. Jordan, and Irfan Siddiqi · 2022
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“Hexagonal matching codes with two-body measurements”
James R Wootton · 2022
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“Measurements of floquet code plaquette stabilizers” (2022)
James R. Wootton · 2022
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“Quantum algorithms: A survey of applications and end-to-end complexities” (2023)
Alexander M. Dalzell, Sam McArdle, Mario Berta, Przemyslaw Bienias, Chi-Fang Chen, András Gilyén, Connor T. Hann, Michael J. Kastoryano, Emil T. Khabiboulline, Aleksander Kubica, Grant Salton, Samson Wang, and Fernando G. S. L. Brandão · 2023
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“Probabilistic error cancellation with sparse pauli–lindblad models on noisy quantum processors”
Ewout van den Berg, Zlatko K. Minev, Abhinav Kandala, and Kristan Temme · 2023
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“Quantum error mitigation”
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“Evidence for the utility of quantum computing before fault tolerance”
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“High-fidelity parallel entangling gates on a neutral-atom quantum computer”
Simon J. Evered, Dolev Bluvstein, Marcin Kalinowski, Sepehr Ebadi, Tom Manovitz, Hengyun Zhou, Sophie H. Li, Alexandra A. Geim, Tout T. Wang, Nishad Maskara, Harry Levine, Giulia Semeghini, Markus Greiner, Vladan Vuletić, and Mikhail D. Lukin · 2023
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“High-fidelity, frequency-flexible two-qubit fluxonium gates with a transmon coupler”
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