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Variational Quantum Algorithms (VQAs) have received considerable attention due to their potential for achieving near-term quantum advantage.
Subspace variational quantum simulator
Kentaro Heya, Ken M Nakanishi, Kosuke Mitarai, and Keisuke Fujii · 1904
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Unitary designs from statistical mechanics in random quantum circuits
Nicholas Hunter-Jones · 1905
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Learning to learn with quantum neural networks via classical neural networks
Guillaume Verdon, Michael Broughton, Jarrod R McClean, Kevin J Sung, Ryan Babbush, Zhang Jiang, Hartmut Neven, and Masoud Mohseni · 1907
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Variational quantum linear solver
Carlos Bravo-Prieto, Ryan LaRose, M. Cerezo, Yigit Subasi, Lukasz Cincio, and Patrick Coles · 1909
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Near-term quantum algorithms for linear systems of equations
Hsin-Yuan Huang, Kishor Bharti, and Patrick Rebentrost · 1909
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On random graphs i
P Erdos and A Renyi · 1959
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Algorithms for quantum computation: discrete logarithms and factoring
Peter W Shor · 1994
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Relation between quantum computing and quantum controllability
Viswanath Ramakrishna and Herschel Rabitz · 1996
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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 · 1999
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Quantum error correction and reversible operations
Carlton M Caves · 1999
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Qudit entanglement
P Rungta, WJ Munro, K Nemoto, P Deuar, Gerard J Milburn, and CM Caves · 2001
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Learning unitaries by gradient descent
Bobak Toussi Kiani, Seth Lloyd, and Reevu Maity · 2001
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Operator sampling for shot-frugal optimization in variational algorithms
Andrew Arrasmith, Lukasz Cincio, Rolando D Somma, and Patrick J Coles · 2004
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Integration with respect to the haar measure on unitary, orthogonal and symplectic group
Benoît Collins and Piotr Śniady · 2006
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Introduction to Quantum Control and Dynamics
D. D’Alessandro · 2007
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Quantum control landscapes
Raj Chakrabarti and Herschel Rabitz · 2007
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Gate-free state preparation for fast variational quantum eigensolver simulations: ctrl-vqe
Oinam Romesh Meitei, Bryan T Gard, George S Barron, David P Pappas, Sophia E Economou, Edwin Barnes, and Nicholas J Mayhall · 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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Variational hamiltonian diagonalization for dynamical quantum simulation
Benjamin Commeau, M. Cerezo, Zoë Holmes, Lukasz Cincio, Patrick J. Coles, and Andrew Sornborger · 2009
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Uncontrollable quantum systems: A classification scheme based on lie subalgebras
Thomas Polack, Haim Suchowski, and David J Tannor · 2009
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Random quantum circuits are approximate 2-designs
Aram W Harrow and Richard A Low · 2009
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Convergence rates for arbitrary statistical moments of random quantum circuits
Winton G. Brown and Lorenza Viola · 2010
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Symmetry principles in quantum systems theory
Robert Zeier and Thomas Schulte-Herbrüggen · 2011
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Toward trainability of quantum neural networks
Kaining Zhang, Min-Hsiu Hsieh, Liu Liu, and Dacheng Tao · 2011
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Quantum simulation
Iulia M Georgescu, Sahel Ashhab, and Franco Nori · 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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A quantum approximate optimization algorithm
Edward Farhi, Jeffrey Goldstone, and Sam Gutmann · 2014
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Generating a state t-design by diagonal quantum circuits
Yoshifumi Nakata, Masato Koashi, and Mio Murao · 2014
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Ising formulations of many np problems
Andrew Lucas · 2014
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Simulating hamiltonian dynamics with a truncated taylor series
Dominic W Berry, Andrew M Childs, Richard Cleve, Robin Kothari, and Rolando D Somma · 2015
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Progress towards practical quantum variational algorithms
Dave Wecker, Matthew B. Hastings, and Matthias Troyer · 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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Local random quantum circuits are approximate polynomial-designs
Fernando GSL Brandao, Aram W Harrow, and Michał Horodecki · 2016
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Subspace controllability of spin-1 2 chains with symmetries
Xiaoting Wang, Daniel Burgarth, and S Schirmer · 2016
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Optimal control of many-body quantum dynamics: Chaos and complexity
PM Poggi and Diego Ariel Wisniacki · 2016
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Efficient variational quantum simulator incorporating active error minimization
Y. Li and S. C. Benjamin · 2017
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Optimizing variational quantum algorithms using pontryagin’s minimum principle
Zhi-Cheng Yang, Armin Rahmani, Alireza Shabani, Hartmut Neven, and Claudio Chamon · 2017
Cited alongside, same era.
Hybrid quantum-classical approach to quantum optimal control
Jun Li, Xiaodong Yang, Xinhua Peng, and Chang-Pu Sun · 2017
Cited alongside, same era.
Driven quantum dynamics: will it blend?
Leonardo Banchi, Daniel Burgarth, and Michael J Kastoryano · 2017
Cited alongside, same era.
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
Cited alongside, same era.
Factorization and criticality in finite x x z xxz systems of arbitrary spin
M. Cerezo, Raúl Rossignoli, N Canosa, and E Ríos · 2017
Cited alongside, same era.
Symbolic integration with respect to the haar measure on the unitary groups
Exploiting landscape geometry to enhance quantum optimal control
Martín Larocca, Esteban Calzetta, and Diego A. Wisniacki · 2020
Later among the works it cites.
Variational algorithms for linear algebra
Xiaosi Xu, Jinzhao Sun, Suguru Endo, Ying Li, Simon C Benjamin, and Xiao Yuan · 2021
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Long-time simulations with high fidelity on quantum hardware
Joe Gibbs, Kaitlin Gili, Zoë Holmes, Benjamin Commeau, Andrew Arrasmith, Lukasz Cincio, Patrick J. Coles, and Andrew Sornborger · 2021
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Adaptive variational quantum dynamics simulations
Yong-Xin Yao, Niladri Gomes, Feng Zhang, Cai-Zhuang Wang, Kai-Ming Ho, Thomas Iadecola, and Peter P Orth · 2021
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Quantum assisted simulation of time dependent hamiltonians
Jonathan Wei Zhong Lau, Kishor Bharti, Tobias Haug, and Leong Chuan Kwek · 2021
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Zbigniew Puchala and Jaroslaw Adam Miszczak · 2017
Cited alongside, same era.
Quantum computing in the nisq era and beyond
John Preskill · 2018
Cited alongside, same era.
Quantum circuit learning
Kosuke Mitarai, Makoto Negoro, Masahiro Kitagawa, and Keisuke Fujii · 2018
Cited alongside, same era.
Barren plateaus in quantum neural network training landscapes
Jarrod R McClean, Sergio Boixo, Vadim N Smelyanskiy, Ryan Babbush, and Hartmut Neven · 2018
Cited alongside, same era.
Quantum approximate optimization is computationally universal
Seth Lloyd · 2018
Cited alongside, same era.
Aram Harrow and Saeed Mehraban · 2018
Cited alongside, same era.
Quantum control landscape for a two-level system near the quantum speed limit
Martín Larocca, Pablo M Poggi, and Diego A Wisniacki · 2018
Cited alongside, same era.
Quantum-assisted simulator
Kishor Bharti and Tobias Haug · 2021
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Training variational quantum algorithms is np-hard
Lennart Bittel and Martin Kliesch · 2021
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Noise-induced barren plateaus in variational quantum algorithms
Samson Wang, Enrico Fontana, M. Cerezo, Kunal Sharma, Akira Sone, 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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Barren plateaus preclude learning scramblers
Zoë Holmes, Andrew Arrasmith, Bin Yan, Patrick J. Coles, Andreas Albrecht, and Andrew T Sornborger · 2021
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Entanglement-induced barren plateaus
Carlos Ortiz Marrero, Mária Kieferová, and Nathan Wiebe · 2021
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Entanglement devised barren plateau mitigation
Taylor L Patti, Khadijeh Najafi, Xun Gao, and Susanne F Yelin · 2021
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Absence of barren plateaus in quantum convolutional neural networks
Arthur Pesah, M. Cerezo, Samson Wang, Tyler Volkoff, Andrew T Sornborger, and Patrick J Coles · 2021
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On barren plateaus and cost function locality in variational quantum algorithms
AV Uvarov and Jacob D Biamonte · 2021
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Layerwise learning for quantum neural networks
Andrea Skolik, Jarrod R McClean, Masoud Mohseni, Patrick van der Smagt, and Martin Leib · 2021
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A semi-agnostic ansatz with variable structure for quantum machine learning
M Bilkis, M. Cerezo, Guillaume Verdon, Patrick J. Coles, and Lukasz Cincio · 2021
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From pulses to circuits and back again: A quantum optimal control perspective on variational quantum algorithms
Alicia B Magann, Christian Arenz, Matthew D Grace, Tak-San Ho, Robert L Kosut, Jarrod R McClean, Herschel A Rabitz, and Mohan Sarovar · 2021
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Quantum-optimal-control-inspired ansatz for variational quantum algorithms
Alexandre Choquette, Agustin Di Paolo, Panagiotis Kl Barkoutsos, David Sénéchal, Ivano Tavernelli, and Alexandre Blais · 2021
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Subtleties in the trainability of quantum machine learning models
Supanut Thanasilp, Samson Wang, Nhat A Nghiem, Patrick J. Coles, and M. Cerezo · 2021
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Progress toward favorable landscapes in quantum combinatorial optimization
Juneseo Lee, Alicia B Magann, Herschel A Rabitz, and Christian Arenz · 2021
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Krylov-subspace approach for the efficient control of quantum many-body dynamics
Martín Larocca and Diego Wisniacki · 2021
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Correlation-informed permutation of qubits for reducing ansatz depth in vqe
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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Analyzing the barren plateau phenomenon in training quantum neural networks with the ZX-calculus
Chen Zhao and Xiao-Shan Gao · 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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Quantum optimization for training quantum neural networks
Yidong Liao, Min-Hsiu Hsieh, and Chris Ferrie · 2021
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Dynamical decomposition of bilinear control systems subject to symmetries
Domenico D’Alessandro and Jonas T Hartwig · 2021
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Variational quantum state eigensolver
M. Cerezo, Kunal Sharma, Andrew Arrasmith, and Patrick J Coles · 2022
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Variational quantum algorithm for estimating the quantum Fisher information
Jacob L Beckey, M. Cerezo, Akira Sone, and Patrick J Coles · 2022
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Trainability of dissipative perceptron-based quantum neural networks
Kunal Sharma, M. Cerezo, Lukasz Cincio, and Patrick J Coles · 2022
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Connecting ansatz expressibility to gradient magnitudes and barren plateaus
Zoë Holmes, Kunal Sharma, M. Cerezo, and Patrick J Coles · 2022
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Adaptive quantum approximate optimization algorithm for solving combinatorial problems on a quantum computer
Linghua Zhu, Ho Lun Tang, George S Barron, Nicholas J Mayhall, Edwin Barnes, and Sophia E Economou · 2022
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Quantum autoencoders for efficient compression of quantum data
Jonathan Romero, Jonathan P Olson, and Alan Aspuru-Guzik · 2058
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Higher order derivatives of quantum neural networks with barren plateaus
M. Cerezo and Patrick J Coles · 2058
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Equivalence of quantum barren plateaus to cost concentration and narrow gorges
Andrew Arrasmith, Zoë Holmes, Marco Cerezo, and Patrick J Coles · 2058
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Large gradients via correlation in random parameterized quantum circuits
Tyler Volkoff and Patrick J Coles · 2058
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Training the quantum approximate optimization algorithm without access to a quantum processing unit
Michael Streif and Martin Leib · 2058
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