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Active quantum error correction is a central ingredient to achieve robust quantum processors.
“Perfect quantum error correcting code”
Raymond Laflamme, Cesar Miquel, Juan Pablo Paz, and Wojciech Hubert Zurek · 1996
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“Stabilizer codes and quantum error correction”
Daniel Eric Gottesman · 1997
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“Codes for the quantum erasure channel”
M. Grassl, Th. Beth, and T. Pellizzari · 1997
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“Experimental quantum error correction”
D. G. Cory, M. D. Price, W. Maas, E. Knill, R. Laflamme, W. H. Zurek, T. F. Havel, and S. S. Somaroo · 1998
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“Decoherence-free subspaces for quantum computation”
D. A. Lidar, I. L. Chuang, and K. B. Whaley · 1998
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“Quantum associative memory”
Dan Ventura and Tony Martinez · 2000
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“Experimental verification of decoherence-free subspaces”
Paul G. Kwiat, Andrew J. Berglund, Joseph B. Altepeter, and Andrew G. White · 2000
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“Qubit disentanglement and decoherence via dephasing”
T. Yu and J. H. Eberly · 2003
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“Realization of quantum error correction”
J. Chiaverini, D. Leibfried, T. Schaetz, M. D. Barrett, R. B. Blakestad, J. Britton, W. M. Itano, J. D. Jost, E. Knill, C. Langer, R. Ozeri, and D. J. Wineland · 2004
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“Deterministic quantum teleportation with atoms”
M. Riebe, H. Häffner, C. F. Roos, W. Hänsel, J. Benhelm, G. P. T. Lancaster, T. W. Körber, C. Becher, F. Schmidt-Kaler, D. F. V. James, and R. Blatt · 2004
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“Deterministic quantum teleportation of atomic qubits”
M. D. Barrett, J. Chiaverini, T. Schaetz, J. Britton, W. M. Itano, J. D. Jost, E. Knill, C. Langer, D. Leibfried, R. Ozeri, and D. J. Wineland · 2004
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“Quantum error correction in spatially correlated quantum noise”
Rochus Klesse and Sandra Frank · 2005
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“Measurement-free error correction with coherent ancillas” (2020)
Vickram N. Premakumar, M. Saffman, and Robert Joynt · 2007
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“Extracting and composing robust features with denoising autoencoders”
Pascal Vincent, Hugo Larochelle, Yoshua Bengio, and Pierre-Antoine Manzagol · 2008
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“Experimental quantum coding against qubit loss error”
Chao-Yang Lu, Wei-Bo Gao, Jin Zhang, Xiao-Qi Zhou, Tao Yang, and Jian-Wei Pan · 2008
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“A comparative code study for quantum fault tolerance”
Andrew W. Cross, David P. DiVincenzo, and Barbara M. Terhal · 2009
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“Quantum computation and quantum information: 10th anniversary edition”
Michael A. Nielsen and Isaac L. Chuang · 2010
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“Fault tolerance with noisy and slow measurements and preparation”
Gerardo A. Paz-Silva, Gavin K. Brennen, and Jason Twamley · 2010
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“Designing quantum memories with embedded control: Photonic circuits for autonomous quantum error correction”
Joseph Kerckhoff, Hendra I. Nurdin, Dmitri S. Pavlichin, and Hideo Mabuchi · 2010
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“Experimental repetitive quantum error correction”
Philipp Schindler, Julio T. Barreiro, Thomas Monz, Volckmar Nebendahl, Daniel Nigg, Michael Chwalla, Markus Hennrich, and Rainer Blatt · 2011
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“Real-time quantum feedback prepares and stabilizes photon number states”
Clément Sayrin, Igor Dotsenko, Xingxing Zhou, Bruno Peaudecerf, Théo Rybarczyk, Sébastien Gleyzes, Pierre Rouchon, Mazyar Mirrahimi, Hadis Amini, Michel Brune, Jean-Michel Raimond, and Serge Haroche · 2011
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“Quantum memories based on engineered dissipation”
Fernando Pastawski, Lucas Clemente, and Juan Ignacio Cirac · 2011
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“14-qubit entanglement: Creation and coherence”
Thomas Monz, Philipp Schindler, Julio T. Barreiro, Michael Chwalla, Daniel Nigg, William A. Coish, Maximilian Harlander, Wolfgang Hänsel, Markus Hennrich, and Rainer Blatt · 2011
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“Denoising quantum states with quantum autoencoders – theory and applications” (2020)
Tom Achache, Lior Horesh, and John Smolin · 2012
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“Quantum error correction for beginners”
Simon J Devitt, William J Munro, and Kae Nemoto · 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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“Hardware-efficient autonomous quantum memory protection”
Zaki Leghtas, Gerhard Kirchmair, Brian Vlastakis, Robert J. Schoelkopf, Michel H. Devoret, and Mazyar Mirrahimi · 2013
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“Quantum error correction”
Daniel A Lidar and Todd A Brun · 2013
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“Coping with qubit leakage in topological codes”
Austin G. Fowler · 2013
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“The quest for a quantum neural network”
Maria Schuld, Ilya Sinayskiy, and Francesco Petruccione · 2014
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“Quantum error correction for quantum memories”
Barbara M. Terhal · 2015
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“Confining the state of light to a quantum manifold by engineered two-photon loss”
Z. Leghtas, S. Touzard, I. M. Pop, A. Kou, B. Vlastakis, A. Petrenko, K. M. Sliwa, A. Narla, S. Shankar, M. J. Hatridge, M. Reagor, L. Frunzio, R. J. Schoelkopf, M. Mirrahimi, and M. H. Devoret · 2015
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“Robust asymptotic entanglement under multipartite collective dephasing”
Edoardo G. Carnio, Andreas Buchleitner, and Manuel Gessner · 2015
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“Repeated quantum error correction on a continuously encoded qubit by real-time feedback”
J. Cramer, N. Kalb, M. A. Rol, B. Hensen, M. S. Blok, M. Markham, D. J. Twitchen, R. Hanson, and T. H. Taminiau · 2016
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“Extending the lifetime of a quantum bit with error correction in superconducting circuits”
Nissim Ofek, Andrei Petrenko, Reinier Heeres, Philip Reinhold, Zaki Leghtas, Brian Vlastakis, Yehan Liu, Luigi Frunzio, S. M. Girvin, L. Jiang, Mazyar Mirrahimi, M. H. Devoret, and R. J. Schoelkopf · 2016
Cited alongside, same era.
“Quantum memories at finite temperature”
Benjamin J. Brown, Daniel Loss, Jiannis K. Pachos, Chris N. Self, and James R. Wootton · 2016
Cited alongside, same era.
“Improved error thresholds for measurement-free error correction”
Daniel Crow, Robert Joynt, and M. Saffman · 2016
Cited alongside, same era.
“Hardware-efficient and fully autonomous quantum error correction in superconducting circuits”
Eliot Kapit · 2016
Cited alongside, same era.
“Real-time processing of stabilizer measurements in a bit-flip code”
Diego Ristè, Luke C. G. Govia, Brian Donovan, Spencer D. Fallek, William D. Kalfus, Markus Brink, Nicholas T. Bronn, and Thomas A. Ohki · 2020
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“Training deep quantum neural networks”
Kerstin Beer, Dmytro Bondarenko, Terry Farrelly, Tobias J. Osborne, Robert Salzmann, Daniel Scheiermann, and Ramona Wolf · 2020
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“Quantum autoencoders to denoise quantum data”
Dmytro Bondarenko and Polina Feldmann · 2020
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“Realization of a quantum autoencoder for lossless compression of quantum data”
Chang-Jiang Huang, Hailan Ma, Qi Yin, Jun-Feng Tang, Daoyi Dong, Chunlin Chen, Guo-Yong Xiang, Chuan-Feng Li, and Guang-Can Guo · 2020
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“Experimental deterministic correction of qubit loss”
Roman Stricker, Davide Vodola, Alexander Erhard, Lukas Postler, Michael Meth, Martin Ringbauer, Philipp Schindler, Thomas Monz, Markus Müller, and Rainer Blatt · 2020
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“Deep learning”
Ian Goodfellow, Yoshua Bengio, and Aaron Courville · 2016
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“Fault-tolerant quantum error detection”
Norbert M. Linke, Mauricio Gutierrez, Kevin A. Landsman, Caroline Figgatt, Shantanu Debnath, Kenneth R. Brown, and Christopher Monroe · 2017
Cited alongside, same era.
“Neural decoder for topological codes”
Giacomo Torlai and Roger G. Melko · 2017
Cited alongside, same era.
“Dissipative quantum error correction and application to quantum sensing with trapped ions”
F. Reiter, A. S. Sørensen, P. Zoller, and C. A. Muschik · 2017
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“Quantum machine learning”
Jacob Biamonte, Peter Wittek, Nicola Pancotti, Patrick Rebentrost, Nathan Wiebe, and Seth Lloyd · 2017
Cited alongside, same era.
“Quantum autoencoders for efficient compression of quantum data”
Jonathan Romero, Jonathan P Olson, and Alan Aspuru-Guzik · 2017
Cited alongside, same era.
“Qvector: an algorithm for device-tailored quantum error correction” (2017)
Peter D. Johnson, Jonathan Romero, Jonathan Olson, Yudong Cao, and Alán Aspuru-Guzik · 2017
Cited alongside, same era.
“Leakage detection for a transmon-based surface code”
Boris Mihailov Varbanov, Francesco Battistel, Brian Michael Tarasinski, Viacheslav Petrovych Ostroukh, Thomas Eugene O’Brien, Leonardo DiCarlo, and Barbara Maria Terhal · 2020
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“Fault-tolerant control of an error-corrected qubit”
Laird Egan, Dripto M. Debroy, Crystal Noel, Andrew Risinger, Daiwei Zhu, Debopriyo Biswas, Michael Newman, Muyuan Li, Kenneth R. Brown, Marko Cetina, and Christopher Monroe · 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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“Exponential suppression of bit or phase errors with cyclic error correction”
Google Quantum AI · 2021
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“Reinforcement learning decoders for fault-tolerant quantum computation”
Ryan Sweke, Markus S Kesselring, Evert P L van Nieuwenburg, and Jens Eisert · 2021
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“Protecting a bosonic qubit with autonomous quantum error correction”
Jeffrey M. Gertler, Brian Baker, Juliang Li, Shruti Shirol, Jens Koch, and Chen Wang · 2021
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“Variational quantum algorithms”
M. Cerezo, Andrew Arrasmith, Ryan Babbush, Simon C. Benjamin, Suguru Endo, Keisuke Fujii, Jarrod R. McClean, Kosuke Mitarai, Xiao Yuan, Lukasz Cincio, and Patrick J. Coles · 2021
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“Quantum computing models for artificial neural networks”
S. Mangini, F. Tacchino, D. Gerace, D. Bajoni, and C. Macchiavello · 2021
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“An artificial spiking quantum neuron”
Lasse Bjørn Kristensen, Matthias Degroote, Peter Wittek, Alán Aspuru-Guzik, and Nikolaj T. Zinner · 2021
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“Quantum autoencoders with enhanced data encoding”
Carlos Bravo-Prieto · 2021
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“Noise-assisted quantum autoencoder”
Chenfeng Cao and Xin Wang · 2021
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“Generic detection-based error mitigation using quantum autoencoders”
Xiao-Ming Zhang, Weicheng Kong, Muhammad Usman Farooq, Man-Hong Yung, Guoping Guo, and Xin Wang · 2021
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“Training quantum neural networks on nisq devices” (2021)
Kerstin Beer, Daniel List, Gabriel Müller, Tobias J. Osborne, and Christian Struckmann · 2021
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“Statistical mechanical models for quantum codes with correlated noise”
Christopher T. Chubb and Steven T. Flammia · 2021
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“Exploiting long-distance interactions and tolerating atom loss in neutral atom quantum architectures”
Jonathan M. Baker, Andrew Litteken, Casey Duckering, Henry Hoffmann, Hannes Bernien, and Frederic T. Chong · 2021
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“Hardware-efficient leakage-reduction scheme for quantum error correction with superconducting transmon qubits”
F. Battistel, B.M. Varbanov, and B.M. Terhal · 2021
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“Cost function dependent barren plateaus in shallow parametrized quantum circuits”
M. Cerezo, Akira Sone, Tyler Volkoff, Lukasz Cincio, and Patrick J. Coles · 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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“Realizing repeated quantum error correction in a distance-three surface code”
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