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The variational quantum eigensolver (VQE) is a leading strategy that exploits noisy intermediate-scale quantum (NISQ) machines to tackle chemical problems outperforming classical approaches.
A theoretical framework for back-propagation
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über das paulische äquivalenzverbot
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Fermionic quantum computation
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Parallel quantum simulation of large systems on small quantum computers (2020)
F Barratt, J Dborin, M Bal, V Stojevic, F Pollmann, and AG Green · 2003
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The bravyi-kitaev transformation for quantum computation of electronic structure
Jacob T Seeley, Martin J Richard, and Peter J Love · 2012
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Boson sampling on a photonic chip
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Introduction to quantum information and computation for chemistry
Sabre Kais · 2014
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A quantum approximate optimization algorithm
Edward Farhi, Jeffrey Goldstone, and Sam Gutmann · 2014
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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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Solving strongly correlated electron models on a quantum computer
Dave Wecker, Matthew B Hastings, Nathan Wiebe, Bryan K Clark, Chetan Nayak, and Matthias Troyer · 2015
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Deep learning with elastic averaging sgd
Sixin Zhang, Anna E Choromanska, and Yann LeCun · 2015
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The theory of variational hybrid quantum-classical algorithms
Jarrod R McClean, Jonathan Romero, Ryan Babbush, and Alán Aspuru-Guzik · 2016
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High-efficiency multiphoton boson sampling
Hui Wang, Yu He, Yu-Huai Li, Zu-En Su, Bo Li, He-Liang Huang, Xing Ding, Ming-Cheng Chen, Chang Liu, Jian Qin, et al · 2017
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Hardware-efficient variational quantum eigensolver for small molecules and quantum magnets
Abhinav Kandala, Antonio Mezzacapo, Kristan Temme, Maika Takita, Markus Brink, Jerry M Chow, and Jay M Gambetta · 2017
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Quantum annealing for prime factorization
Shuxian Jiang, Keith A Britt, Alexander J McCaskey, Travis S Humble, and Sabre Kais · 2018
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Quantum computing in the nisq era and beyond
John Preskill · 2018
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Strategies for quantum computing molecular energies using the unitary coupled cluster ansatz
Jonathan Romero, Ryan Babbush, Jarrod R McClean, Cornelius Hempel, Peter J Love, and Alán Aspuru-Guzik · 2018
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Practical quantum error mitigation for near-future applications
Suguru Endo, Simon C Benjamin, and Ying Li · 2018
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Pennylane: Automatic differentiation of hybrid quantum-classical computations
Ville Bergholm, Josh Izaac, Maria Schuld, Christian Gogolin, M Sohaib Alam, Shahnawaz Ahmed, Juan Miguel Arrazola, Carsten Blank, Alain Delgado, Soran Jahangiri, et al · 2018
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Barren plateaus in quantum neural network training landscapes
Jarrod R McClean, Sergio Boixo, Vadim N Smelyanskiy, Ryan Babbush, and Hartmut Neven · 2018
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Factoring larger integers with fewer qubits via quantum annealing with optimized parameters
WangChun Peng, BaoNan Wang, Feng Hu, YunJiang Wang, XianJin Fang, XingYuan Chen, and Chao Wang · 2019
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Quantum supremacy using a programmable superconducting processor
Frank Arute, Kunal Arya, Ryan Babbush, Dave Bacon, Joseph C Bardin, Rami Barends, Rupak Biswas, Sergio Boixo, Fernando GSL Brandao, David A Buell, et al · 2019
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Quantum computing for finance: Overview and prospects
Roman Orus, Samuel Mugel, and Enrique Lizaso · 2019
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An adaptive variational algorithm for exact molecular simulations on a quantum computer
Harper R Grimsley, Sophia E Economou, Edwin Barnes, and Nicholas J Mayhall · 2019
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Accelerated variational quantum eigensolver
Daochen Wang, Oscar Higgott, and Stephen Brierley · 2019
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Quantum computation of electronic transitions using a variational quantum eigensolver
Robert M Parrish, Edward G Hohenstein, Peter L McMahon, and Todd J Martínez · 2019
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From the quantum approximate optimization algorithm to a quantum alternating operator ansatz
Stuart Hadfield, Zhihui Wang, Bryan O’Gorman, Eleanor G Rieffel, Davide Venturelli, and Rupak Biswas · 2019
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Pranav Gokhale, Olivia Angiuli, Yongshan Ding, Kaiwen Gui, Teague Tomesh, Martin Suchara, Margaret Martonosi, and Frederic T. Chong · 2019
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Automated distribution of quantum circuits via hypergraph partitioning
Pablo Andres-Martinez and Chris Heunen · 2019
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Local sgd with periodic averaging: Tighter analysis and adaptive synchronization
Farzin Haddadpour, Mohammad Mahdi Kamani, Mehrdad Mahdavi, and Viveck Cadambe · 2019
Cited alongside, same era.
Variational quantum fidelity estimation
Marco Cerezo, Alexander Poremba, Lukasz Cincio, and Patrick J Coles · 2020
Cited alongside, same era.
Hartree-fock on a superconducting qubit quantum computer
Frank Arute, Kunal Arya, Ryan Babbush, Dave Bacon, Joseph C Bardin, Rami Barends, Sergio Boixo, Michael Broughton, Bob B Buckley, David A Buell, et al · 2020
Cited alongside, same era.
Quantum computation of molecular response properties
Xiaoxia Cai, Wei-Hai Fang, Heng Fan, and Zhendong Li · 2020
Cited alongside, same era.
Variational quantum simulation of general processes
Suguru Endo, Jinzhao Sun, Ying Li, Simon C Benjamin, and Xiao Yuan · 2020
Cited alongside, same era.
Quantum approximate optimization algorithm: Performance, mechanism, and implementation on near-term devices
Quantum approximate optimization of non-planar graph problems on a planar superconducting processor
Matthew P Harrigan, Kevin J Sung, Matthew Neeley, Kevin J Satzinger, Frank Arute, Kunal Arya, Juan Atalaya, Joseph C Bardin, Rami Barends, Sergio Boixo, et al · 2021
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Correlation-informed permutation of qubits for reducing ansatz depth in the variational quantum eigensolver
Nikolay V Tkachenko, James Sud, Yu Zhang, Sergei Tretiak, Petr M Anisimov, Andrew T Arrasmith, Patrick J Coles, Lukasz Cincio, and Pavel A Dub · 2021
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Measurement cost of metric-aware variational quantum algorithms
Barnaby van Straaten and Bálint Koczor · 2021
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Adaptive shot allocation for fast convergence in variational quantum algorithms
Andi Gu, Angus Lowe, Pavel A Dub, Patrick J Coles, and Andrew Arrasmith · 2021
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qubit-adapt-vqe: An adaptive algorithm for constructing hardware-efficient ansätze on a quantum processor
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Leo Zhou, Sheng-Tao Wang, Soonwon Choi, Hannes Pichler, and Mikhail D Lukin · 2020
Cited alongside, same era.
Improving the performance of deep quantum optimization algorithms with continuous gate sets
Nathan Lacroix, Christoph Hellings, Christian Kraglund Andersen, Agustin Di Paolo, Ants Remm, Stefania Lazar, Sebastian Krinner, Graham J Norris, Mihai Gabureac, Johannes Heinsoo, et al · 2020
Cited alongside, same era.
Jérôme F Gonthier, Maxwell D Radin, Corneliu Buda, Eric J Doskocil, Clena M Abuan, and Jhonathan Romero · 2020
Cited alongside, same era.
Implementation of Measurement Reduction for the Variational Quantum Eigensolver
Alexis Ralli, Peter Love, Andrew Tranter, and Peter Coveney · 2020
Cited alongside, same era.
Measurement Optimization in the Variational Quantum Eigensolver Using a Minimum Clique Cover
Vladyslav Verteletskyi, Tzu-Ching Yen, and Artur F. Izmaylov · 2020
Cited alongside, same era.
Measurement reduction in variational quantum algorithms
Andrew Zhao, Andrew Tranter, William M Kirby, Shu Fay Ung, Akimasa Miyake, and Peter J Love · 2020
Cited alongside, same era.
Operator sampling for shot-frugal optimization in variational algorithms
Andrew Arrasmith, Lukasz Cincio, Rolando D Somma, and Patrick J Coles · 2020
Cited alongside, same era.
Ho Lun Tang, VO Shkolnikov, George S Barron, Harper R Grimsley, Nicholas J Mayhall, Edwin Barnes, and Sophia E Economou · 2021
Later among the works it cites.
Distributed quantum computing and network control for accelerated vqe
Stephen DiAdamo, Marco Ghibaudi, and James Cruise · 2021
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Measuring analytic gradients of general quantum evolution with the stochastic parameter shift rule
Leonardo Banchi and Gavin E Crooks · 2021
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Learnability of quantum neural networks
Yuxuan Du, Min-Hsiu Hsieh, Tongliang Liu, Shan You, and Dacheng Tao · 2021
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Hybrid quantum-classical algorithms and quantum error mitigation
Suguru Endo, Zhenyu Cai, Simon C Benjamin, and Xiao Yuan · 2021
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Learning-based quantum error mitigation
Armands Strikis, Dayue Qin, Yanzhu Chen, Simon C Benjamin, and Ying Li · 2021
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Entanglement-induced barren plateaus
Carlos Ortiz Marrero, Mária Kieferová, and Nathan Wiebe · 2021
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Noise-induced barren plateaus in variational quantum algorithms
Samson Wang, Enrico Fontana, Marco Cerezo, Kunal Sharma, Akira Sone, Lukasz Cincio, and Patrick J Coles · 2021
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Cost function dependent barren plateaus in shallow parametrized quantum circuits
Marco Cerezo, Akira Sone, Tyler Volkoff, Lukasz Cincio, and Patrick J Coles · 2021
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Effect of barren plateaus on gradient-free optimization
Andrew Arrasmith, M Cerezo, Piotr Czarnik, Lukasz Cincio, and Patrick J Coles · 2021
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Quantum noise protects quantum classifiers against adversaries
Yuxuan Du, Min-Hsiu Hsieh, Tongliang Liu, Dacheng Tao, and Nana Liu · 2021
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Quantum private distributed learning through blind quantum computing
Weikang Li, Sirui Lu, and Dong-Ling Deng · 2021
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Recent advances for quantum neural networks in generative learning
Jinkai Tian, Xiaoyu Sun, Yuxuan Du, Shanshan Zhao, Qing Liu, Kaining Zhang, Wei Yi, Wanrong Huang, Chaoyue Wang, Xingyao Wu, et al · 2022
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Quantum advantage in learning from experiments
Hsin-Yuan Huang, Michael Broughton, Jordan Cotler, Sitan Chen, Jerry Li, Masoud Mohseni, Hartmut Neven, Ryan Babbush, Richard Kueng, John Preskill, et al · 2022
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Generalization in quantum machine learning from few training data
Matthias C Caro, Hsin-Yuan Huang, Kunal Sharma, Andrew Sornborger, Lukasz Cincio, and Patrick J Coles · 2022
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Do quantum circuit born machines generalize?
Kaitlin Gili, Mohamed Hibat-Allah, Marta Mauri, Chris Ballance, and Alejandro Perdomo-Ortiz · 2022
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Qaoa-in-qaoa: solving large-scale maxcut problems on small quantum machines
Zeqiao Zhou, Yuxuan Du, Xinmei Tian, and Dacheng Tao · 2022
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Variational quantum eigensolver with reduced circuit complexity
Yu Zhang, Lukasz Cincio, Christian FA Negre, Piotr Czarnik, Patrick J Coles, Petr M Anisimov, Susan M Mniszewski, Sergei Tretiak, and Pavel A Dub · 2022
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Measurements of quantum hamiltonians with locally-biased classical shadows
Charles Hadfield, Sergey Bravyi, Rudy Raymond, and Antonio Mezzacapo · 2022
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A distributed learning scheme for variational quantum algorithms
Yuxuan Du, Yang Qian, Xingyao Wu, and Dacheng Tao · 2022
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Accelerating the variational quantum eigensolver using parallelism
Lana Mineh and Ashley Montanaro · 2022
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General parameter-shift rules for quantum gradients
David Wierichs, Josh Izaac, Cody Wang, and Cedric Yen-Yu Lin · 2022
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Quantum circuit architecture search for variational quantum algorithms
Yuxuan Du, Tao Huang, Shan You, Min-Hsiu Hsieh, and Dacheng Tao · 2022
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Quantum differentially private sparse regression learning
Yuxuan Du, Min-Hsiu Hsieh, Tongliang Liu, Shan You, and Dacheng Tao · 2022
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