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Variational Quantum Algorithms (VQAs) are often viewed as the best hope for near-term quantum advantage.
“On random graphs I
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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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“The theory of variational hybrid quantum-classical algorithms”
Jarrod R McClean, Jonathan Romero, Ryan Babbush, and Alán Aspuru-Guzik · 2016
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“Hybrid quantum-classical approach to correlated materials”
Bela Bauer, Dave Wecker, Andrew J Millis, Matthew B Hastings, and Matthias Troyer · 2016
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“Efficient variational quantum simulator incorporating active error minimization”
Y. Li and S. C. Benjamin · 2017
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“A quantum algorithm to train neural networks using low-depth circuits”
Guillaume Verdon, Michael Broughton, and Jacob Biamonte · 2017
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“Qvector: an algorithm for device-tailored quantum error correction”
Peter D Johnson, Jonathan Romero, Jonathan Olson, Yudong Cao, and Alán Aspuru-Guzik · 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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“Hybrid quantum-classical hierarchy for mitigation of decoherence and determination of excited states”
Jarrod R McClean, Mollie E Kimchi-Schwartz, Jonathan Carter, and Wibe A De Jong · 2017
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“Quantum autoencoders for efficient compression of quantum data”
Jonathan Romero, Jonathan P Olson, and Alan Aspuru-Guzik · 2017
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“Classification with quantum neural networks on near term processors”
Edward Farhi and Hartmut Neven · 2018
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“Hierarchical quantum classifiers”
Edward Grant, Marcello Benedetti, Shuxiang Cao, Andrew Hallam, Joshua Lockhart, Vid Stojevic, Andrew G Green, and Simone Severini · 2018
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“Quantum approximate optimization algorithm for MaxCut: A fermionic view”
Zhihui Wang, S. Hadfield, Z. Jiang, and E. G. Rieffel · 2018
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“Performance of the quantum approximate optimization algorithm on the maximum cut problem”
Gavin E Crooks · 2018
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“Quantum compilation and circuit optimisation via energy dissipation”
Tyson Jones and Simon C Benjamin · 2018
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“Quantum computing in the NISQ
John Preskill · 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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“Low-cost error mitigation by symmetry verification”
Xavi Bonet-Monroig, Ramiro Sagastizabal, M Singh, and TE O’Brien · 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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“Variational quantum gate optimization”
Kentaro Heya, Yasunari Suzuki, Yasunobu Nakamura, and Keisuke Fujii · 2018
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“Quantum circuit learning”
Kosuke Mitarai, Makoto Negoro, Masahiro Kitagawa, and Keisuke Fujii · 2018
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“Variational ansatz-based quantum simulation of imaginary time evolution”
Sam McArdle, Tyson Jones, Suguru Endo, Ying Li, Simon C Benjamin, and Xiao Yuan · 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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“Subspace variational quantum simulator”
Kentaro Heya, Ken M Nakanishi, Kosuke Mitarai, and Keisuke Fujii · 2019
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“Theory of variational quantum simulation”
Xiao Yuan, Suguru Endo, Qi Zhao, Ying Li, and Simon C Benjamin · 2019
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“Quantum convolutional neural networks”
Iris Cong, Soonwon Choi, and Mikhail D Lukin · 2019
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“Variational quantum algorithms for discovering hamiltonian spectra”
Tyson Jones, Suguru Endo, Sam McArdle, Xiao Yuan, and Simon C Benjamin · 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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“Variational quantum linear solver”
Carlos Bravo-Prieto, Ryan LaRose, M. Cerezo, Yigit Subasi, Lukasz Cincio, and Patrick Coles · 2019
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“Variational quantum factoring”
Eric Anschuetz, Jonathan Olson, Alán Aspuru-Guzik, and Yudong Cao · 2019
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“Quantum-assisted quantum compiling”
Sumeet Khatri, Ryan LaRose, Alexander Poremba, Lukasz Cincio, Andrew T Sornborger, and Patrick J Coles · 2019
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“Variational consistent histories as a hybrid algorithm for quantum foundations”
Andrew Arrasmith, Lukasz Cincio, Andrew T Sornborger, Wojciech H Zurek, and Patrick J Coles · 2019
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“Variational quantum state diagonalization”
Ryan LaRose, Arkin Tikku, Étude O’Neel-Judy, Lukasz Cincio, and Patrick J Coles · 2019
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“Quantum Hamiltonian-based models and the variational quantum thermalizer algorithm”
Guillaume Verdon, Jacob Marks, Sasha Nanda, Stefan Leichenauer, and Jack Hidary · 2019
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“Error mitigation extends the computational reach of a noisy quantum processor”
Abhinav Kandala, Kristan Temme, Antonio D. Córcoles, Antonio Mezzacapo, Jerry M. Chow, and Jay M. Gambetta · 2019
Cited alongside, same era.
“Error mitigation on a near-term quantum photonic device”
Daiqin Su, Robert Israel, Kunal Sharma, Haoyu Qi, Ish Dhand, and Kamil Brádler · 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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“Limitations of optimization algorithms on noisy quantum devices”
Daniel Stilck França and Raul Garcia-Patron · 2021
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“Cost function dependent barren plateaus in shallow parametrized quantum circuits”
M. 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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“Higher order derivatives of quantum neural networks with barren plateaus”
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“Error-mitigated digital quantum simulation”
Sam McArdle, Xiao Yuan, and Simon Benjamin · 2019
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“Evaluating analytic gradients on quantum hardware”
Maria Schuld, Ville Bergholm, Christian Gogolin, Josh Izaac, and Nathan Killoran · 2019
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“Variational fast forwarding for quantum simulation beyond the coherence time”
Cristina Cirstoiu, Zoe Holmes, Joseph Iosue, Lukasz Cincio, Patrick J. Coles, and Andrew Sornborger · 2020
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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 · 2020
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“Adaptive variational quantum dynamics simulations”
Yong-Xin Yao, Niladri Gomes, Feng Zhang, Thomas Iadecola, Cai-Zhuang Wang, Kai-Ming Ho, and Peter P Orth · 2020
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“Variational quantum simulation of general processes”
Suguru Endo, Jinzhao Sun, Ying Li, Simon C Benjamin, and Xiao Yuan · 2020
Cited alongside, same era.
“Circuit-centric quantum classifiers”
Maria Schuld, Alex Bocharov, Krysta M Svore, and Nathan Wiebe · 2020
Cited alongside, same era.
M. Cerezo and Patrick J Coles · 2021
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“Training variational quantum algorithms is np-hard”
Lennart Bittel and Martin Kliesch · 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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“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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“Diagnosing barren plateaus with tools from quantum optimal control”
Martin Larocca, Piotr Czarnik, Kunal Sharma, Gopikrishnan Muraleedharan, Patrick J. Coles, and M. Cerezo · 2021
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“Training saturation in layerwise quantum approximate optimization”
E. Campos, D. Rabinovich, V. Akshay, and J. Biamonte · 2021
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“Effects of quantum noise on quantum approximate optimization algorithm”
Cheng Xue, Zhao-Yun Chen, Yu-Chun Wu, and Guo-Ping Guo · 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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“Unified approach to data-driven quantum error mitigation”
Angus Lowe, Max Hunter Gordon, Piotr Czarnik, Andrew Arrasmith, Patrick J. Coles, and Lukasz Cincio · 2021
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“Extending quantum probabilistic error cancellation by noise scaling”
Andrea Mari, Nathan Shammah, and William J Zeng · 2021
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“Error mitigation by training with fermionic linear optics”
Ashley Montanaro and Stasja Stanisic · 2021
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“Simple mitigation of global depolarizing errors in quantum simulations”
Joseph Vovrosh, Kiran E Khosla, Sean Greenaway, Christopher Self, Myungshik S Kim, and Johannes Knolle · 2021
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“Classical-quantum noise mitigation for nisq hardware”
Andrew Shaw · 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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Piotr Czarnik, Andrew Arrasmith, Lukasz Cincio, and Patrick J Coles · 2021
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Ryuji Takagi · 2021
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“Machine learning of noise-resilient quantum circuits”
Lukasz Cincio, Kenneth Rudinger, Mohan Sarovar, and Patrick J. Coles · 2021
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Andrew Wack, Hanhee Paik, Ali Javadi-Abhari, Petar Jurcevic, Ismael Faro, Jay M. Gambetta, and Blake R. Johnson · 2021
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“Scalable error mitigation for noisy quantum circuits produces competitive expectation values”
Youngseok Kim, Christopher J. Wood, Theodore J. Yoder, Seth T. Merkel, Jay M. Gambetta, Kristan Temme, and Abhinav Kandala · 2021
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“The dominant eigenvector of a noisy quantum state”
Bálint Koczor · 2021
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“Connecting ansatz expressibility to gradient magnitudes and barren plateaus”
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“Non-trivial symmetries in quantum landscapes and their resilience to quantum noise”
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“Experimental error mitigation using linear rescaling for variational quantum eigensolving with up to 20 qubits”
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“Volumetric benchmarking of error mitigation with Qermit
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“Fundamental limits of quantum error mitigation”
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“On contraction coefficients, partial orders and approximation of capacities for quantum channels”
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Abhijith J., Adetokunbo Adedoyin, John Ambrosiano, Petr Anisimov, William Casper, Gopinath Chennupati, Carleton Coffrin, Hristo Djidjev, David Gunter, Satish Karra, Nathan Lemons, Shizeng Lin, Alexander Malyzhenkov, David Mascarenas, Susan Mniszewski, Balu Nadiga, Daniel O’malley, Diane Oyen, Scott Pakin, Lakshman Prasad, Randy Roberts, Phillip Romero, Nandakishore Santhi, Nikolai Sinitsyn, Pieter J. Swart, James G. Wendelberger, Boram Yoon, Richard Zamora, Wei Zhu, Stephan Eidenbenz, Andreas Bärtschi, Patrick J. Coles, Marc Vuffray, and Andrey Y. Lokhov · 2022
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