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Quantum machine learning -- and specifically Variational Quantum Algorithms (VQAs) -- offers a powerful, flexible paradigm for programming near-term quantum computers, with applications in chemistry, metrology, materials science, data science, and mathematics.
1907
Earlier work this paper cites.
1910
Earlier work this paper cites.
W. K. Hastings, “Monte Carlo sampling methods using markov chains and their applications,” Biometrika 57
1970
Earlier work this paper cites.
J. L. O’Brien, G. J. Pryde, A. Gilchrist, D. F. V. James, N. K. Langford, T. C. Ralph, and A. G. White, “Quantum process tomography of a controlled-not gate,” Phys. Rev. Lett. 93
2004
Earlier work this paper cites.
Alán Aspuru-Guzik, Anthony D. Dutoi, Peter J. Love, and Martin Head-Gordon, “Simulated quantum computation of molecular energies,” Science 309
2005
Earlier work this paper cites.
Rodney J Bartlett and Monika Musiał, “Coupled-cluster theory in quantum chemistry,” Reviews of Modern Physics 79
2007
Earlier work this paper cites.
D. Maslov, G. W. Dueck, D. M. Miller, and C. Negrevergne, “Quantum circuit simplification and level compaction,” IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems 27
2008
Earlier work this paper cites.
Christoph Dankert, Richard Cleve, Joseph Emerson, and Etera Livine, “Exact and approximate unitary 2-designs and their application to fidelity estimation,” Physical Review A 80
2009
Earlier work this paper cites.
Aram W Harrow and Richard A Low, “Random quantum circuits are approximate 2-designs,” Communications in Mathematical Physics 291
2009
Earlier work this paper cites.
Alberto Peruzzo, Jarrod McClean, Peter Shadbolt, Man-Hong Yung, Xiao-Qi Zhou, Peter J Love, Alán Aspuru-Guzik, and Jeremy L O’brien, “A variational eigenvalue solver on a photonic quantum processor,” Nature Communications 5
2014
Earlier work this paper cites.
Maria Schuld, Ilya Sinayskiy, and Francesco Petruccione, “The quest for a quantum neural network,” Quantum Information Processing 13
2014
Earlier work this paper cites.
2014
Earlier work this paper cites.
Joel Yuen-Zhou, Jacob J Krich, Ivan Kassal, Allan S Johnson, and Alán Aspuru-Guzik, “The process matrix and how to determine it: quantum process tomography,” in Ultrafast Spectroscopy , 2053-2563 (IOP Publishing, 2014) pp. 1–1 to 1–9
2014
Earlier work this paper cites.
2015
Earlier work this paper cites.
Fernando GSL Brandao, Aram W Harrow, and Michał Horodecki, “Local random quantum circuits are approximate polynomial-designs,” Communications in Mathematical Physics 346
2016
Earlier work this paper cites.
Jacob Biamonte, Peter Wittek, Nicola Pancotti, Patrick Rebentrost, Nathan Wiebe, and Seth Lloyd, “Quantum machine learning,” Nature 549
2017
Earlier work this paper cites.
Abhinav Kandala, Antonio Mezzacapo, Kristan Temme, Maika Takita, Markus Brink, Jerry M. Chow, and Jay M. Gambetta, “Hardware-efficient variational quantum eigensolver for small molecules and quantum magnets,” Nature 549
2017
Earlier work this paper cites.
Jonathan Romero, Jonathan P Olson, and Alan Aspuru-Guzik, “Quantum autoencoders for efficient compression of quantum data,” Quantum Science and Technology 2
2017
Earlier work this paper cites.
M. Cerezo, Raúl Rossignoli, N Canosa, and E Ríos, “Factorization and criticality in finite x x z xxz systems of arbitrary spin,” Physical Review Letters 119
2017
Earlier work this paper cites.
John Preskill, “Quantum computing in the NISQ era and beyond,” Quantum 2
2018
Earlier work this paper cites.
Jarrod R McClean, Sergio Boixo, Vadim N Smelyanskiy, Ryan Babbush, and Hartmut Neven, “Barren plateaus in quantum neural network training landscapes,” Nature Communications 9
2018
Earlier work this paper cites.
Lukasz Cincio, Yiğit Subaşı, Andrew T Sornborger, and Patrick J Coles, “Learning the quantum algorithm for state overlap,” New Journal of Physics 20
2018
Earlier work this paper cites.
2018
Earlier work this paper cites.
2018
Earlier work this paper cites.
Xiao Yuan, Suguru Endo, Qi Zhao, Ying Li, and Simon C Benjamin, “Theory of variational quantum simulation,” Quantum 3
2019
Earlier work this paper cites.
Eric Anschuetz, Jonathan Olson, Alán Aspuru-Guzik, and Yudong Cao, “Variational quantum factoring,” in International Workshop on Quantum Technology and Optimization Problems (Springer, 2019) pp. 74–85
2019
Earlier work this paper cites.
Sumeet Khatri, Ryan LaRose, Alexander Poremba, Lukasz Cincio, Andrew T Sornborger, and Patrick J Coles, “Quantum-assisted quantum compiling,” Quantum 3
2019
Earlier work this paper cites.
Ryan LaRose, Arkin Tikku, Étude O’Neel-Judy, Lukasz Cincio, and Patrick J Coles, “Variational quantum state diagonalization,” npj Quantum Information 5
2019
Earlier work this paper cites.
Edward Grant, Leonard Wossnig, Mateusz Ostaszewski, and Marcello Benedetti, “An initialization strategy for addressing barren plateaus in parametrized quantum circuits,” Quantum 3
2019
Earlier work this paper cites.
Yudong Cao, Jonathan Romero, Jonathan P Olson, Matthias Degroote, Peter D Johnson, Mária Kieferová, Ian D Kivlichan, Tim Menke, Borja Peropadre, Nicolas PD Sawaya, et al. , “Quantum chemistry in the age of quantum computing,” Chemical reviews 119
2019
Earlier work this paper cites.
Stuart Hadfield, Zhihui Wang, Bryan O’Gorman, Eleanor G Rieffel, Davide Venturelli, and Rupak Biswas, “From the quantum approximate optimization algorithm to a quantum alternating operator ansatz,” Algorithms 12
2019
Earlier work this paper cites.
Harper R Grimsley, Sophia E Economou, Edwin Barnes, and Nicholas J Mayhall, “An adaptive variational algorithm for exact molecular simulations on a quantum computer,” Nature Communications 10
2019
Earlier work this paper cites.
2019
Earlier work this paper cites.
Sukin Sim, Peter D. Johnson, and Alán Aspuru-Guzik, “Expressibility and entangling capability of parameterized quantum circuits for hybrid quantum-classical algorithms,” Advanced Quantum Technologies 2
2019
Cited alongside, same era.
Thomas Elsken, Jan Hendrik Metzen, Frank Hutter, et al. , “Neural architecture search: A survey.” J. Mach. Learn. Res. 20
2019
Cited alongside, same era.
2019
Cited alongside, same era.
Cristina Cirstoiu, Zoe Holmes, Joseph Iosue, Lukasz Cincio, Patrick J. Coles, and Andrew Sornborger, “Variational fast forwarding for quantum simulation beyond the coherence time,” npj Quantum Information 6
Andrew Arrasmith, M. Cerezo, Piotr Czarnik, Lukasz Cincio, and Patrick J Coles, “Effect of barren plateaus on gradient-free optimization,” Quantum 5
2021
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Tyler Volkoff and Patrick J Coles, “Large gradients via correlation in random parameterized quantum circuits,” Quantum Science and Technology 6
2021
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Andrea Skolik, Jarrod R McClean, Masoud Mohseni, Patrick van der Smagt, and Martin Leib, “Layerwise learning for quantum neural networks,” Quantum Machine Intelligence 3
2021
Closest in time.
Samson Wang, Enrico Fontana, M. Cerezo, Kunal Sharma, Akira Sone, Lukasz Cincio, and Patrick J Coles, “Noise-induced barren plateaus in variational quantum algorithms,” Nature Communications 12
2021
Closest in time.
Daniel Stilck França and Raul Garcia-Patron, “Limitations of optimization algorithms on noisy quantum devices,” Nature Physics 17
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2020
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2020
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Kunal Sharma, Sumeet Khatri, M. Cerezo, and Patrick J Coles, “Noise resilience of variational quantum compiling,” New Journal of Physics 22
2020
Cited alongside, same era.
Bálint Koczor, Suguru Endo, Tyson Jones, Yuichiro Matsuzaki, and Simon C Benjamin, “Variational-state quantum metrology,” New Journal of Physics (2020), 10.1088/1367-2630/ab965e
2020
Cited alongside, same era.
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. , “Hartree-fock on a superconducting qubit quantum computer,” Science 369
2020
Cited alongside, same era.
Pauline J Ollitrault, Abhinav Kandala, Chun-Fu Chen, Panagiotis Kl Barkoutsos, Antonio Mezzacapo, Marco Pistoia, Sarah Sheldon, Stefan Woerner, Jay M Gambetta, and Ivano Tavernelli, “Quantum equation of motion for computing molecular excitation energies on a noisy quantum processor,” Physical Review Research 2
2020
Cited alongside, same era.
2020
Cited alongside, same era.
Jonas M Kübler, Andrew Arrasmith, Lukasz Cincio, and Patrick J Coles, “An adaptive optimizer for measurement-frugal variational algorithms,” Quantum 4
2020
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2020
Cited alongside, same era.
2021
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Ho Lun Tang, VO Shkolnikov, George S Barron, Harper R Grimsley, Nicholas J Mayhall, Edwin Barnes, and Sophia E Economou, “qubit-adapt-vqe: An adaptive algorithm for constructing hardware-efficient ansätze on a quantum processor,” PRX Quantum 2
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2021
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Sukin Sim, Jonathan Romero, Jérôme F Gonthier, and Alexander A Kunitsa, “Adaptive pruning-based optimization of parameterized quantum circuits,” Quantum Science and Technology 6
2021
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2021
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Mateusz Ostaszewski, Edward Grant, and Marcello Benedetti, “Structure optimization for parameterized quantum circuits,” Quantum 5
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Alba Cervera-Lierta, Jakob S Kottmann, and Alán Aspuru-Guzik, “The meta-variational quantum eigensolver (meta-vqe): Learning energy profiles of parameterized Hamiltonians for quantum simulation,” PRX Quantum 2
2021
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Konstantinos Georgopoulos, Clive Emary, and Paolo Zuliani, “Modeling and simulating the noisy behavior of near-term quantum computers,” Phys. Rev. A 104
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2022
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Enrico Fontana, M Cerezo, Andrew Arrasmith, Ivan Rungger, and Patrick J Coles, “Non-trivial symmetries in quantum landscapes and their resilience to quantum noise,” Quantum 6
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Xiaoyuan Liu, Anthony Angone, Ruslan Shaydulin, Ilya Safro, Yuri Alexeev, and Lukasz Cincio, “Layer vqe: A variational approach for combinatorial optimization on noisy quantum computers,” IEEE Transactions on Quantum Engineering 3
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Stefan H Sack, Raimel A Medina, Alexios A Michailidis, Richard Kueng, and Maksym Serbyn, “Avoiding barren plateaus using classical shadows,” PRX Quantum 3
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Matthias C Caro, Hsin-Yuan Huang, Marco Cerezo, Kunal Sharma, Andrew Sornborger, Lukasz Cincio, and Patrick J Coles, “Generalization in quantum machine learning from few training data,” Nature Communications 13
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Zi-Jian Zhang, Thi Ha Kyaw, Jakob Kottmann, Matthias Degroote, and Alan Aspuru-Guzik, “Mutual information-assisted adaptive variational quantum eigensolver,” Quantum Science and Technology (2021), 10.1088/2058-9565/abdca4
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