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Quantum low-density parity-check (qLDPC) codes are a promising construction for drastically reducing the overhead of fault-tolerant quantum computing (FTQC) architectures.
How to factor 2048 bit rsa integers in 8 hours using 20 million noisy qubits
Craig Gidney and Martin Ekerå · 1905
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Self-orthogonal quasi-cyclic codes
Richard Townsend and E Weldon · 1967
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Aspects of indium solder bumping and indium bump bonding useful for assembling cooled mosaic sensors
M. Plötner, G. Sadowski, S. Rzepka, and G. Blasek · 1991
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Design of caecc-cellular automata based error correcting code
Dipanwita Roy Chowdhury, Saugata Basu, Idranil Sen Gupta, and Parimal Pal Chaudhuri · 1994
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Scheme for reducing decoherence in quantum computer memory
Peter W. Shor · 1995
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Fault-tolerant quantum computation
P. W. Shor · 1996
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Multiple-particle interference and quantum error correction
A. Steane · 1996
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On the power of quantum computation
Daniel R. Simon · 1997
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Polynomial-time algorithms for prime factorization and discrete logarithms on a quantum computer
Peter W. Shor · 1997
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The intractability of computing the minimum distance of a code
Alexander Vardy · 1997
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Resilient quantum computation
E. Knill · 1998
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Theory of fault-tolerant quantum computation
Daniel Gottesman · 1998
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Glassy dynamics and aging in an exactly solvable spin model
MEJ Newman and Cristopher Moore · 1999
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Efficient fault-tolerant quantum computing
Andrew M Steane · 1999
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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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Fault-tolerant logical gate networks for calderbank-shor-steane codes
Andrew M Steane and Ben Ibinson · 2005
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Bounds on the minimum distance of linear codes and quantum codes
Markus Grassl · 2007
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Tradeoffs for reliable quantum information storage in 2d systems
Sergey Bravyi, David Poulin, and Barbara Terhal · 2010
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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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Surface code quantum computing by lattice surgery
C. Horsman, A. G. Fowler, S. Devitt, and R. V. Meter · 2012
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Protected gates for superconducting qubits
Peter Brooks, Alexei Kitaev, and John Preskill · 2013
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Fault-tolerant quantum computation with constant overhead
Daniel Gottesman · 2013
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Information storage capacity of discrete spin systems
Beni Yoshida · 2013
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Surface code implementation of block code state distillation
Austin G. Fowler, Simon J. Devitt, and Cody Jones · 2013
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Dynamically protected cat-qubits: a new paradigm for universal quantum computation
Mazyar Mirrahimi, Zaki Leghtas, Victor V Albert, Steven Touzard, Robert J Schoelkopf, Liang Jiang, and Michel H Devoret · 2014
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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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Hybrid quantum-classical approach to correlated materials
Bela Bauer, Dave Wecker, Andrew J. Millis, Matthew B. Hastings, and Matthias Troyer · 2016
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Hyperbolic and semi-hyperbolic surface codes for quantum storage
Nikolas P Breuckmann, Christophe Vuillot, Earl Campbell, Anirudh Krishna, and Barbara M Terhal · 2017
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High-Threshold Fault-Tolerant Quantum Computation with Analog Quantum Error Correction
Kosuke Fukui, Akihisa Tomita, Atsushi Okamoto, and Keisuke Fujii · 2018
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Encoding electronic spectra in quantum circuits with linear t complexity
Ryan Babbush, Craig Gidney, Dominic W Berry, Nathan Wiebe, Jarrod McClean, Alexandru Paler, Austin Fowler, and Hartmut Neven · 2018
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Coherent oscillations inside a quantum manifold stabilized by dissipation
S. Touzard, A. Grimm, Z. Leghtas, S. O. Mundhada, P. Reinhold, C. Axline, M. Reagor, K. Chou, J. Blumoff, K. M. Sliwa, S. Shankar, L. Frunzio, R. J. Schoelkopf, M. Mirrahimi, and M. H. Devoret · 2018
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Low overhead quantum computation using lattice surgery, 2018
Austin G. Fowler and Craig Gidney · 2018
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Fault-tolerant gates via homological product codes
Tomas Jochym-O’Connor · 2019
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Universal logical gates with constant overhead: instantaneous dehn twists for hyperbolic quantum codes
Ali Lavasani, Guanyu Zhu, and Maissam Barkeshli · 2019
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Quantum error correction with the toric Gottesman-Kitaev-Preskill code
Christophe Vuillot, Hamed Asasi, Yang Wang, Leonid P. Pryadko, and Barbara M. Terhal · 2019
Cited alongside, same era.
Repetition cat qubits for fault-tolerant quantum computation
Jérémie Guillaud and Mazyar Mirrahimi · 2019
Cited alongside, same era.
Fault-tolerant bosonic quantum error correction with the surface–gottesman-kitaev-preskill code
Kyungjoo Noh and Christopher Chamberland · 2020
Cited alongside, same era.
Exponential suppression of bit-flips in a qubit encoded in an oscillator
A race-track trapped-ion quantum processor
Quantinuum · 2023
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Suppressing quantum errors by scaling a surface code logical qubit
Google Quantum AI · 2023
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Evidence for the utility of quantum computing before fault tolerance
Youngseok Kim, Andrew Eddins, Sajant Anand, Ken Xuan Wei, Ewout Van Den Berg, Sami Rosenblatt, Hasan Nayfeh, Yantao Wu, Michael Zaletel, Kristan Temme, et al · 2023
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Decoding quantum Tanner codes
Anthony Leverrier and Gilles Zémor · 2023
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Good Quantum LDPC Codes with Linear Time Decoders
Irit Dinur, Min-Hsiu Hsieh, Ting-Chun Lin, and Thomas Vidick · 2023
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Decoding Quantum Tanner Codes
Anthony Leverrier and Gilles Zémor · 2023
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Raphaël Lescanne, Marius Villiers, Théau Peronnin, Alain Sarlette, Matthieu Delbecq, Benjamin Huard, Takis Kontos, Mazyar Mirrahimi, and Zaki Leghtas · 2020
Cited alongside, same era.
Decoding across the quantum low-density parity-check code landscape
Joschka Roffe, David R. White, Simon Burton, and Earl Campbell · 2020
Cited alongside, same era.
Quantum low-density parity-check codes
Nikolas P. Breuckmann and Jens Niklas Eberhardt · 2021
Cited alongside, same era.
Fault-tolerant gates on hypergraph product codes
Anirudh Krishna and David Poulin · 2021
Cited alongside, same era.
Error rates and resource overheads of repetition cat qubits
Jérémie Guillaud and Mazyar Mirrahimi · 2021
Cited alongside, same era.
Even more efficient quantum computations of chemistry through tensor hypercontraction
Joonho Lee, Dominic W. Berry, Craig Gidney, William J. Huggins, Jarrod R. McClean, Nathan Wiebe, and Ryan Babbush · 2021
Cited alongside, same era.
Correcting spanning errors with a fractal code
Georgia M Nixon and Benjamin J Brown · 2021
Cited alongside, same era.
Shouzhen Gu, Eugene Tang, Libor Caha, Shin Ho Choe, Zhiyang He, and Aleksander Kubica · 2023
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Hierarchical memories: Simulating quantum LDPC codes with local gates
Christopher A Pattison, Anirudh Krishna, and John Preskill · 2023
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Craig Gidney, Michael Newman, Peter Brooks, and Cody Jones · 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, et al · 2023
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Partitioning qubits in hypergraph product codes to implement logical gates
Armanda O Quintavalle, Paul Webster, and Michael Vasmer · 2023
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Css code surgery as a universal construction, 2023
Alexander Cowtan and Simon Burton · 2023
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Guanyu Zhu, Shehryar Sikander, Elia Portnoy, Andrew W Cross, and Benjamin J Brown · 2023
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Maissam Barkeshli, Po-Shen Hsin, and Ryohei Kobayashi · 2023
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One hundred second bit-flip time in a two-photon dissipative oscillator
C. Berdou, A. Murani, U. Réglade, W.C. Smith, M. Villiers, J. Palomo, M. Rosticher, A. Denis, P. Morfin, M. Delbecq, T. Kontos, N. Pankratova, F. Rautschke, T. Peronnin, L.-A. Sellem, P. Rouchon, A. Sarlette, M. Mirrahimi, P. Campagne-Ibarcq, S. Jezouin, R. Lescanne, and Z. Leghtas · 2023
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Quantum control of a cat-qubit with bit-flip times exceeding ten seconds
Ulysse Réglade, Adrien Bocquet, Ronan Gautier, Antoine Marquet, Emanuele Albertinale, Natalia Pankratova, Mattis Hallén, Felix Rautschke, Lev-Arcady Sellem, Pierre Rouchon, et al · 2023
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Autoparametric resonance extending the bit-flip time of a cat qubit up to 0.3 s
Antoine Marquet, Antoine Essig, Joachim Cohen, Nathanaël Cottet, Anil Murani, Emanuele Abertinale, Simon Dupouy, Audrey Bienfait, Théau Peronnin, Sébastien Jezouin, et al · 2023
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High-performance repetition cat code using fast noisy operations
Francois-Marie Le Régent, Camille Berdou, Zaki Leghtas, Jérémie Guillaud, and Mazyar Mirrahimi · 2023
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Bias-tailored quantum LDPC codes
Joschka Roffe, Lawrence Z. Cohen, Armanda O. Quintavalle, Daryus Chandra, and Earl T. Campbell · 2023
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Fracton models from product codes, 2023
Yi Tan, Brenden Roberts, Nathanan Tantivasadakarn, Beni Yoshida, and Norman Y. Yao · 2023
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A cellular automaton decoder for a noise-bias tailored color code
Jonathan F San Miguel, Dominic J Williamson, and Benjamin J Brown · 2023
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Superconducting cavity qubit with tens of milliseconds single-photon coherence time
Ofir Milul, Barkay Guttel, Uri Goldblatt, Sergey Hazanov, Lalit M. Joshi, Daniel Chausovsky, Nitzan Kahn, Engin undefinediftyürek, Fabien Lafont, and Serge Rosenblum · 2023
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Towards a bias-preserving cnot gate between stabilized cat qubits (part 2)
Nathanael Cottet, Nicolas Bourdaud, Joachim Cohen, Louise Devanz, Antoine Essig, Pierre Fevrier, Antoine Gras, Jérémie Guillaud, Efe Gümüs, Mattis Hallén, et al · 2023
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Quantum error correction with dissipatively stabilized squeezed-cat qubits
Timo Hillmann and Fernando Quijandría · 2023
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Two-photon driven kerr quantum oscillator with multiple spectral degeneracies
Diego Ruiz, Ronan Gautier, Jérémie Guillaud, and Mazyar Mirrahimi · 2023
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Designing high-fidelity zeno gates for dissipative cat qubits
Ronan Gautier, Mazyar Mirrahimi, and Alain Sarlette · 2023
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Code is available at https://github.com/ElieGouzien/elliptic_log_cat , Élie Gouzien, version 2.0, 2023, DOI: 10.5281/zenodo.10523899
2023
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Factoring 2048-bit RSA integers in 177 days with 13436 qubits and a multimode memory
Élie Gouzien and Nicolas Sangouard · 2048
Closest in time.
Autonomous quantum error correction and fault-tolerant quantum computation with squeezed cat qubits
Qian Xu, Guo Zheng, Yu-Xin Wang, Peter Zoller, Aashish A. Clerk, and Liang Jiang · 2056
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3d integrated superconducting qubits
D. Rosenberg, D. Kim, R. Das, D. Yost, S. Gustavsson, D. Hover, P. Krantz, A. Melville, L. Racz, G. O. Samach, S. J. Weber, F. Yan, J. L. Yoder, A. J. Kerman, and W. D. Oliver · 2056
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Solid-state qubits integrated with superconducting through-silicon vias
D. R. W. Yost, M. E. Schwartz, J. Mallek, D. Rosenberg, C. Stull, J. L. Yoder, G. Calusine, M. Cook, R. Das, A. L. Day, E. B. Golden, D. K. Kim, A. Melville, B. M. Niedzielski, W. Woods, A. J. Kerman, and W. D. Oliver · 2056
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Quantum information processing with bosonic qubits in circuit qed
Atharv Joshi, Kyungjoo Noh, and Yvonne Y Gao · 2058
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Qubit compatible superconducting interconnects
B Foxen, J Y Mutus, E Lucero, R Graff, A Megrant, Yu Chen, C Quintana, B Burkett, J Kelly, E Jeffrey, Yan Yang, Anthony Yu, K Arya, R Barends, Zijun Chen, B Chiaro, A Dunsworth, A Fowler, C Gidney, M Giustina, T Huang, P Klimov, M Neeley, C Neill, P Roushan, D Sank, A Vainsencher, J Wenner, T C White, and John M Martinis · 2058
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