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Variational Quantum Algorithms (VQAs) are promising candidates for finding practical applications of near to mid-term quantum computers.
Liii. on lines and planes of closest fit to systems of points in space
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Training a 3-node neural network is np-complete
Avrim L. Blum and Ronald L. Rivest · 1992
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Multivariate stochastic approximation using a simultaneous perturbation gradient approximation
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Accelerated second-order stochastic optimization using only function measurements
J.C. Spall · 1997
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Nudged elastic band method for finding minimum energy paths of transitions
Hannes Jónsson, Greg Mills, and Karsten W. Jacobsen · 1998
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Quantum annealing in the transverse ising model
Tadashi Kadowaki and Hidetoshi Nishimori · 1998
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Improved tangent estimate in the nudged elastic band method for finding minimum energy paths and saddle points
Hannes Jonsson · 2000
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Quantum Computation by Adiabatic Evolution
Edward Farhi, Jeffrey Goldstone, Sam Gutmann, and Michael Sipser · 2000
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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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Ising formulations of many np problems
Andrew Lucas · 2014
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Dropout: a simple way to prevent neural networks from overfitting
Nitish Srivastava, Geoffrey Hinton, Alex Krizhevsky, Ilya Sutskever, and Ruslan Salakhutdinov · 2014
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Progress towards practical quantum variational algorithms
Dave Wecker, Matthew B. Hastings, and Matthias Troyer · 2015
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Deep learning in neural networks: An overview
Jürgen Schmidhuber · 2015
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An automated nudged elastic band method
Esben L. Kolsbjerg, Michael N. Groves, and Bjørk Hammer · 2016
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The cma evolution strategy: A tutorial
Nikolaus Hansen · 2016
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Learning in implicit generative models
Shakir Mohamed and Balaji Lakshminarayanan · 2016
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Visualizing the loss landscape of neural nets
Hao Li, Zheng Xu, Gavin Taylor, Christoph Studer, and Tom Goldstein · 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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Solving the quantum many-body problem with artificial neural networks
Giuseppe Carleo and Matthias Troyer · 2017
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Barren plateaus in quantum neural network training landscapes
Jarrod Mcclean, Sergio Boixo, Vadim Smelyanskiy, Ryan Babbush, and Hartmut Neven · 2018
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Fernando G. S. L. Brandao, Michael Broughton, Edward Farhi, Sam Gutmann, and Hartmut Neven · 2018
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Essentially no barriers in neural network energy landscape
Felix Draxler, Kambis Veschgini, Manfred Salmhofer, and Fred Hamprecht · 2018
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A quantum machine learning algorithm based on generative models
X. Gao, Z.-Y. Zhang, and L.-M. Duan · 2018
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Opportunities and challenges for quantum-assisted machine learning in near-term quantum computers
Alejandro Perdomo-Ortiz, Marcello Benedetti, John Realpe-Gómez, and Rupak Biswas · 2018
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Quantum-assisted helmholtz machines: A quantum–classical deep learning framework for industrial datasets in near-term devices
Marcello Benedetti, John Realpe-Gómez, and Alejandro Perdomo-Ortiz · 2018
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Quantum variational autoencoder
Amir Khoshaman, Walter Vinci, Brandon Denis, Evgeny Andriyash, Hossein Sadeghi, and Mohammad H Amin · 2018
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Neural-network states for the classical simulation of quantum computing
Bjarni Jónsson, Bela Bauer, and Giuseppe Carleo · 2018
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Is the Trotterized UCCSD Ansatz Chemically Well-Defined?
Harper R. Grimsley, Daniel Claudino, Sophia E. Economou, Edwin Barnes, and Nicholas J. Mayhall · 2020
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Jérôme F. Gonthier, Maxwell D. Radin, Corneliu Buda, Eric J. Doskocil, Clena M. Abuan, and Jhonathan Romero · 2020
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Digital zero noise extrapolation for quantum error mitigation
Tudor Giurgica-Tiron, Yousef Hindy, Ryan Larose, Andrea Mari, and William J. Zeng · 2020
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Generation of high resolution handwritten digits with an ion-trap quantum computer
Manuel S. Rudolph, Ntwali Toussaint Bashige, Amara Katabarwa, Sonika Johr, Borja Peropadre, and Alejandro Perdomo-Ortiz · 2020
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Machine-learning quantum states in the nisq era
Giacomo Torlai and Roger G. Melko · 2020
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Levent Sagun, Utku Evci, V Ugur Guney, Yann Dauphin, and Leon Bottou · 2018
Cited alongside, same era.
Quantum circuit learning
K. Mitarai, M. Negoro, M. Kitagawa, and K. Fujii · 2018
Cited alongside, same era.
A generative modeling approach for benchmarking and training shallow quantum circuits
Marcello Benedetti, Delfina Garcia-Pintos, Oscar Perdomo, Vicente Leyton-Ortega, Yunseong Nam, and Alejandro Perdomo-Ortiz · 2019
Cited alongside, same era.
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 · 2019
Cited alongside, same era.
Low-depth circuit ansatz for preparing correlated fermionic states on a quantum computer
Pierre-Luc Dallaire-Demers, Jonathan Romero, Libor Veis, Sukin Sim, and Alán Aspuru-Guzik · 2019
Cited alongside, same era.
Generalized Unitary Coupled Cluster Wave functions for Quantum Computation
Joonho Lee, William J. Huggins, Martin Head-Gordon, and K. Birgitta Whaley · 2019
Cited alongside, same era.
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
Cited alongside, same era.
Later among the works it cites.
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 et al · 2021
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Noisy intermediate-scale quantum (nisq) algorithms
Kishor Bharti, Alba Cervera-Lierta, Thi Ha Kyaw, Tobias Haug, Sumner Alperin-Lea, Abhinav Anand, Matthias Degroote, Hermanni Heimonen, Jakob S. Kottmann, T Menke, Wai-Keong Mok, Sukin Sim, Leong Chuan Kwek, and Alán Aspuru-Guzik · 2021
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Critical Points in Hamiltonian Agnostic Variational Quantum Algorithms
Eric R. Anschuetz · 2021
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Flip: A flexible initializer for arbitrarily-sized parametrized quantum circuits
Frederic Sauvage, Sukin Sim, Alexander A. Kunitsa, William A. Simon, Marta Mauri, and Alejandro Perdomo-Ortiz · 2021
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On the quantum versus classical learnability of discrete distributions
Ryan Sweke, Jean-Pierre Seifert, Dominik Hangleiter, and Jens Eisert · 2021
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Enhancing generative models via quantum correlations
Xun Gao, Eric R Anschuetz, Sheng-Tao Wang, J Ignacio Cirac, and Mikhail D Lukin · 2021
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A Quantum Computing View on Unitary Coupled Cluster Theory
Abhinav Anand, Philipp Schleich, Sumner Alperin-Lea, Phillip W. K. Jensen, Sukin Sim, Manuel Díaz-Tinoco, Jakob S. Kottmann, Matthias Degroote, Artur F. Izmaylov, and Alán Aspuru-Guzik · 2021
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Adaptive pruning-based optimization of parameterized quantum circuits
Sukin Sim, Jonathan Romero, Jérôme F. Gonthier, and Alexander A. Kunitsa · 2021
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TEQUILA: A platform for rapid development of quantum algorithms
Jakob S. Kottmann, Sumner Alperin-Lea, Teresa Tamayo-Mendoza, Alba Cervera-Lierta, Cyrille Lavigne, Tzu Ching Yen, Vladyslav Verteletskyi, Philipp Schleich, Abhinav Anand, Matthias Degroote, Skylar Chaney, Maha Kesibi, Naomi Grace Curnow, Brandon Solo, Georgios Tsilimigkounakis, Claudia Zendejas-Morales, Artur F. Izmaylov, and Alán Aspuru-Guzik · 2021
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Qulacs: a fast and versatile quantum circuit simulator for research purpose
Yasunari Suzuki, Yoshiaki Kawase, Yuya Masumura, Yuria Hiraga, Masahiro Nakadai, Jiabao Chen, Ken M. Nakanishi, Kosuke Mitarai, Ryosuke Imai, Shiro Tamiya, and et al · 2021
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F-divergences and cost function locality in generative modelling with quantum circuits
Chiara Leadbeater, Louis Sharrock, Brian Coyle, and Marcello Benedetti · 2021
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Minimizing Estimation Runtime on Noisy Quantum Computers
Guoming Wang, Dax Enshan Koh, Peter D. Johnson, and Yudong Cao · 2021
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Equivalence of quantum barren plateaus to cost concentration and narrow gorges, 2021
Andrew Arrasmith, Zoë Holmes, M. Cerezo, and Patrick J. Coles · 2021
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Quantum generative training using r \ \backslash ’enyi divergences
Maria Kieferova, Ortiz Marrero Carlos, and Nathan Wiebe · 2021
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Characterizing the loss landscape of variational quantum circuits
Patrick Huembeli and Alexandre Dauphin · 2021
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Variational quantum classifiers through the lens of the hessian
Pinaki Sen and Amandeep Singh Bhatia · 2021
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Simultaneous Perturbation Stochastic Approximation of the Quantum Fisher Information
Julien Gacon, Christa Zoufal, Giuseppe Carleo, and Stefan Woerner · 2021
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