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The hope of the quantum computing field is that quantum architectures are able to scale up and realize fault-tolerant quantum computing.
Algorithms for quantum computation: discrete logarithms and factoring
Peter W Shor · 1994
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Quantum measurements and the abelian stabilizer problem
A Yu Kitaev · 1995
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A quantum algorithm for finding the minimum
Christoph Durr and Peter Hoyer · 1996
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Quantum counting
Gilles Brassard, Peter Høyer, and Alain Tapp · 1998
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Quantum amplitude amplification and estimation
G Brassard, P Hoyer, M Mosca, and A Tapp · 2000
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Robustness of shor’s algorithm
Simon J Devitt, Austin G Fowler, and Lloyd CL Hollenberg · 2004
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Quantum-enhanced measurements: beating the standard quantum limit
Vittorio Giovannetti, Seth Lloyd, and Lorenzo Maccone · 2004
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Simulated quantum computation of molecular energies
Alán Aspuru-Guzik, Anthony D Dutoi, Peter J Love, and Martin Head-Gordon · 2005
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Arbitrary accuracy iterative quantum phase estimation algorithm using a single ancillary qubit: A two-qubit benchmark
Miroslav Dobšíček, Göran Johansson, Vitaly Shumeiko, and Göran Wendin · 2007
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Impossibility of a quantum speed-up with a faulty oracle
Oded Regev and Liron Schiff · 2008
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Parameter estimation of quantum channels
Zhengfeng Ji, Guoming Wang, Runyao Duan, Yuan Feng, and Mingsheng Ying · 2008
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Quantum algorithm for linear systems of equations
Aram W Harrow, Avinatan Hassidim, and Seth Lloyd · 2009
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Layered architecture for quantum computing
N Cody Jones, Rodney Van Meter, Austin G Fowler, Peter L McMahon, Jungsang Kim, Thaddeus D Ladd, and Yoshihisa Yamamoto · 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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Robust online Hamiltonian learning
Christopher E Granade, Christopher Ferrie, Nathan Wiebe, and David G Cory · 2012
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Adaptive Hamiltonian estimation using Bayesian experimental design
Christopher Ferrie, Christopher E Granade, and DG Cory · 2012
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Faster phase estimation
Krysta Marie Svore, Matthew B. Hastings and Michael H. Freedman · 2013
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Quantum error correction for beginners
Simon J Devitt, William J Munro, and Kae Nemoto · 2013
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A variational eigenvalue solver on a photonic quantum processor
Alberto Peruzzo, Jarrod McClean, Peter Shadbolt, Man-Hong Yung, Xiao-Qi Zhou, Peter J Love, Alán Aspuru-Guzik, and Jeremy L O’brien · 2014
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A quantum approximate optimization algorithm
Edward Farhi, Jeffrey Goldstone, and Sam Gutmann · 2014
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Robust calibration of a universal single-qubit gate set via robust phase estimation
Shelby Kimmel, Guang Hao Low, and Theodore J. Yoder · 2015
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Efficient bayesian phase estimation
Nathan Wiebe and Chris Granade · 2016
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Elucidating reaction mechanisms on quantum computers
M. Reiher, N. Wiebe, K.M. Svore, D. Wecker, and M. Troyer · 2017
Cited alongside, same era.
Quantum algorithm for systems of linear equations with exponentially improved dependence on precision
Andrew M Childs, Robin Kothari, and Rolando D Somma · 2017
Cited alongside, same era.
Experimental Bayesian quantum phase estimation on a silicon photonic chip
Stefano Paesani, Andreas A Gentile, Raffaele Santagati, Jianwei Wang, Nathan Wiebe, David P Tew, Jeremy L O’Brien, and Mark G Thompson · 2017
Cited alongside, same era.
Measurements as a roadblock to near-term practical quantum advantage in chemistry: resource analysis
Jérôme F Gonthier, Maxwell D Radin, Corneliu Buda, Eric J Doskocil, Clena M Abuan, and Jhonathan Romero · 2022
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Peter D Johnson, Alexander A Kunitsa, Jérôme F Gonthier, Maxwell D Radin, Corneliu Buda, Eric J Doskocil, Clena M Abuan, and Jhonathan Romero · 2022
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Suppressing quantum errors by scaling a surface code logical qubit
Rajeev Acharya, Igor Aleiner, Richard Allen, Trond I Andersen, Markus Ansmann, Frank Arute, Kunal Arya, Abraham Asfaw, Juan Atalaya, Ryan Babbush, et al · 2022
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Fault-tolerant resource estimate for quantum chemical simulations: Case study on li-ion battery electrolyte molecules
Isaac H Kim, Ye-Hua Liu, Sam Pallister, William Pol, Sam Roberts, and Eunseok Lee · 2022
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András Gilyén, Yuan Su, Guang Hao Low, and Nathan Wiebe · 2018
Cited alongside, same era.
Experimental phase estimation enhanced by machine learning
Alessandro Lumino, Emanuele Polino, Adil S Rab, Giorgio Milani, Nicolò Spagnolo, Nathan Wiebe, and Fabio Sciarrino · 2018
Cited alongside, same era.
Classification with quantum neural networks on near term processors
Edward Farhi and Hartmut Neven · 2018
Cited alongside, same era.
Variational quantum factoring
Eric Anschuetz, Jonathan Olson, Alán Aspuru-Guzik, and Yudong Cao · 2019
Cited alongside, same era.
Quantum phase estimation of multiple eigenvalues for small-scale (noisy) experiments
Thomas E O’Brien, Brian Tarasinski, and Barbara M Terhal · 2019
Cited alongside, same era.
Quantum error correction and universal gate set operation on a binomial bosonic logical qubit
L. Hu, Y. Ma, W. Cai, X. Mu, Y. Xu, W. Wang, Y. Wu, H. Wang, Y. P. Song, C. L. Zou, S. M. Girvin, L. M. Duan, and L. Sun · 2019
Cited alongside, same era.
Elucidating reaction mechanisms on quantum computers
Yuval R. Sanders, Dominic W. Berry, Pedro C.S. Costa, Louis W. Tessler, Nathan Wiebe, Craig Gidney, Hartmut Neven, and Ryan Babbush · 2020
Cited alongside, same era.
Tudor Giurgica-Tiron, Sonika Johri, Iordanis Kerenidis, Jason Nguyen, Neal Pisenti, Anupam Prakash, Ksenia Sosnova, Ken Wright, and William Zeng · 2022
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Heisenberg-limited ground-state energy estimation for early fault-tolerant quantum computers
Lin Lin and Yu Tong · 2022
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Computing ground state properties with early fault-tolerant quantum computers
Ruizhe Zhang, Guoming Wang, and Peter Johnson · 2022
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State Preparation Boosters for Early Fault-Tolerant Quantum Computation
Guoming Wang, Sukin Sim, and Peter D. Johnson · 2022
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Designing algorithms for estimating ground state properties on early fault-tolerant quantum computers
Yu Tong · 2022
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Yulong Dong, Lin Lin, and Yu Tong · 2022
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Building a fault-tolerant quantum computer using concatenated cat codes
Christopher Chamberland, Kyungjoo Noh, Patricio Arrangoiz-Arriola, Earl T. Campbell, Connor T. Hann, Joseph Iverson, Harald Putterman, Thomas C. Bohdanowicz, Steven T. Flammia, Andrew Keller, Gil Refael, John Preskill, Liang Jiang, Amir H. Safavi-Naeini, Oskar Painter, and Fernando G.S.L. Brandão · 2022
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Randomized quantum algorithm for statistical phase estimation
Kianna Wan, Mario Berta, and Earl T Campbell · 2022
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Is there evidence for exponential quantum advantage in quantum chemistry?
Seunghoon Lee, Joonho Lee, Huanchen Zhai, Yu Tong, Alexander M Dalzell, Ashutosh Kumar, Phillip Helms, Johnnie Gray, Zhi-Hao Cui, Wenyuan Liu, et al · 2023
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Robust ground-state energy estimation under depolarizing noise
Zhiyan Ding, Yulong Dong, Yu Tong and Lin Lin · 2023
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Guoming Wang, Daniel Stilck-França, Ruizhe Zhang, Shuchen Zhu, and Peter D Johnson · 2023
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On low-depth algorithms for quantum phase estimation
Hongkang Ni, Haoya Li, and Lexing Ying · 2023
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Adaptive low-depth quantum algorithms for robust multiple-phase estimation
Haoya Li, Hongkang Ni, and Lexing Ying · 2023
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Modeling the Performance of Early Fault-Tolerant Quantum Algorithms
Qiyao Liang, Yiqing Zhou, Archismita Dalal, and Peter D Johnson · 2023
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Modeling the Performance of Early Fault-Tolerant Quantum Algorithms
Q.Liang, Y.Zhou, A.Dalal and P.D.Johnson, · 2023
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