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Very little is known about the cost landscape for parametrized Quantum Circuits (PQCs).
Aram Harrow and John Napp · 1901
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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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Dynamical mean field theory algorithm and experiment on quantum computers
Ivan Rungger, Nathan Fitzpatrick, Honxiang Chen, CH Alderete, Harriett Apel, Alexander Cowtan, Andrew Patterson, D Munoz Ramo, Yingyue Zhu, Nhung Hong Nguyen, et al · 1910
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Quantum natural gradient generalised to non-unitary circuits
Bálint Koczor and Simon C Benjamin · 1912
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Optimization by simulated annealing
Scott Kirkpatrick, C Daniel Gelatt, and Mario P Vecchi · 1983
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From the quantum approximate optimization algorithm to a quantum alternating operator ansatz
S. Hadfield, Z. Wang, B. O’Gorman, E. G. Rieffel, D. Venturelli, and R. Biswas · 1999
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Variational quantum state eigensolver
M. Cerezo, Kunal Sharma, Andrew Arrasmith, and Patrick J Coles · 2004
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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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Classical optimizers for noisy intermediate-scale quantum devices
Wim Lavrijsen, Ana Tudor, Juliane Müller, Costin Iancu, and Wibe de Jong · 2004
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A new stochastic optimization algorithm based on a particle collision metaheuristic
Wagner F Sacco and CREA Oliveira · 2005
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Quantum error correction of coherent errors by randomization
Oliver Kern, Gernot Alber, and Dima L Shepelyansky · 2005
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Determinism in the one-way model
Vincent Danos and Elham Kashefi · 2006
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Coupled-cluster theory in quantum chemistry
Rodney J Bartlett and Monika Musiał · 2007
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The BOBYQA algorithm for bound constrained optimization without derivatives
M. J. D. Powell · 2009
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Measurement-based quantum computation
Hans J Briegel, David E Browne, Wolfgang Dür, Robert Raussendorf, and Maarten Van den Nest · 2009
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A metropolis algorithm combined with hooke–jeeves local search method applied to global optimization
Ana Carolina Rios-Coelho, Wagner F Sacco, and Nélio Henderson · 2010
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Interacting quantum observables: categorical algebra and diagrammatics
Bob Coecke and Ross Duncan · 2011
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Practical experimental certification of computational quantum gates using a twirling procedure
Osama Moussa, Marcus P da Silva, Colm A Ryan, and Raymond Laflamme · 2012
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A variational eigenvalue solver on a photonic quantum processor
A. Peruzzo, J. McClean, P. Shadbolt, M.-H. Yung, X.-Q. Zhou, P. J. Love, A. Aspuru-Guzik, and J. 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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The quest for a quantum neural network
Maria Schuld, Ilya Sinayskiy, and Francesco Petruccione · 2014
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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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Sgdr: Stochastic gradient descent with warm restarts
Ilya Loshchilov and Frank Hutter · 2016
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Noise tailoring for scalable quantum computation via randomized compiling
Joel J Wallman and Joseph Emerson · 2016
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Hardware-efficient variational quantum eigensolver for small molecules and quantum magnets
A. Kandala, A. Mezzacapo, K. Temme, M. Takita, M. Brink, J. M. Chow, and J. M. Gambetta · 2017
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Programming languages and compiler design for realistic quantum hardware
F. T. Chong, D. Franklin, and M. Martonosi · 2017
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Error mitigation for short-depth quantum circuits
Kristan Temme, Sergey Bravyi, and Jay M Gambetta · 2017
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Efficient variational quantum simulator incorporating active error minimization
Ying Li and Simon C Benjamin · 2017
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Quantum computing in the NISQ era and beyond
J. Preskill · 2018
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Variational quantum state diagonalization
R. LaRose, A. Tikku, É. O’Neel-Judy, L. Cincio, and P. J. Coles · 2018
Quantum natural gradient
James Stokes, Josh Izaac, Nathan Killoran, and Giuseppe Carleo · 2020
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Stochastic gradient descent for hybrid quantum-classical optimization
Ryan Sweke, Frederik Wilde, Johannes Jakob Meyer, Maria Schuld, Paul K Fährmann, Barthélémy Meynard-Piganeau, and Jens Eisert · 2020
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Efficient symmetry-preserving state preparation circuits for the variational quantum eigensolver algorithm
Bryan T Gard, Linghua Zhu, George S Barron, Nicholas J Mayhall, Sophia E Economou, and Edwin Barnes · 2020
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Exploring entanglement and optimization within the hamiltonian variational ansatz
Roeland Wiersema, Cunlu Zhou, Yvette de Sereville, Juan Felipe Carrasquilla, Yong Baek Kim, and Henry Yuen · 2020
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Efficient estimation of pauli channels
Steven T Flammia and Joel J Wallman · 2020
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Quantum state discrimination using noisy quantum neural networks
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A universal training algorithm for quantum deep learning
Guillaume Verdon, Jason Pye, and Michael Broughton · 2018
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Quantum circuit learning
K. Mitarai, M. Negoro, M. Kitagawa, and K. Fujii · 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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Generalized unitary coupled cluster wave functions for quantum computation
Joonho Lee, William J Huggins, Martin Head-Gordon, and K Birgitta Whaley · 2018
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Variational quantum gate optimization
Kentaro Heya, Yasunari Suzuki, Yasunobu Nakamura, and Keisuke Fujii · 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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Andrew Patterson, Hongxiang Chen, Leonard Wossnig, Simone Severini, Dan Browne, and Ivan Rungger · 2021
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Estimating the gradient and higher-order derivatives on quantum hardware
Andrea Mari, Thomas R. Bromley, and Nathan Killoran · 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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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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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, M. Cerezo, Kunal Sharma, Akira Sone, Lukasz Cincio, and Patrick J Coles · 2021
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Evaluating the noise resilience of variational quantum algorithms
Enrico Fontana, Nathan Fitzpatrick, David Muñoz Ramo, Ross Duncan, and Ivan Rungger · 2021
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Limitations of optimization algorithms on noisy quantum devices
Daniel Stilck França and Raul Garcia-Patron · 2021
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Quantum algorithms with local particle-number conservation: Noise effects and error correction
Michael Streif, Martin Leib, Filip Wudarski, Eleanor Rieffel, and Zhihui Wang · 2021
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Exponentially many local minima in quantum neural networks
Xuchen You and Xiaodi Wu · 2021
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Mitigating depolarizing noise on quantum computers with noise-estimation circuits
Miroslav Urbanek, Benjamin Nachman, Vincent R Pascuzzi, Andre He, Christian W Bauer, and Wibe A de Jong · 2021
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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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Robust quantum compilation and circuit optimisation via energy minimisation
Tyson Jones and Simon C Benjamin · 2022
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Quantum autoencoders for efficient compression of quantum data
J. Romero, J. P. Olson, and A. Aspuru-Guzik · 2058
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Characterizing the loss landscape of variational quantum circuits
Patrick Huembeli and Alexandre Dauphin · 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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Using models to improve optimizers for variational quantum algorithms
Kevin J Sung, Jiahao Yao, Matthew P Harrigan, Nicholas C Rubin, Zhang Jiang, Lin Lin, Ryan Babbush, and Jarrod R McClean · 2058
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A software methodology for compiling quantum programs
Thomas Häner, Damian S Steiger, Krysta Svore, and Matthias Troyer · 2058
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Compiling quantum circuits to realistic hardware architectures using temporal planners
D. Venturelli, M. Do, E. Rieffel, and J. Frank · 2058
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