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Understanding the capabilities of classical simulation methods is key to identifying where quantum computers are advantageous.
W. Hoeffding, Probability inequalities for sums of bounded random variables, Journal of the American Statistical Association 58
1963
Earlier work this paper cites.
T. Kibble, Some implications of a cosmological phase transition, Physics Reports 67
1980
Earlier work this paper cites.
W. H. Zurek, Cosmological experiments in superfluid helium?, Nature 317
1985
Earlier work this paper cites.
P. Billingsley, Probability and Measure , Wiley Series in Probability and Statistics (Wiley, 1995)
1995
Earlier work this paper cites.
D. Gottesman, The heisenberg representation of quantum computers, talk at, in International Conference on Group Theoretic Methods in Physics (Citeseer, 1998)
1998
Earlier work this paper cites.
R. Horst, P. M. Pardalos, and N. Van Thoai, Introduction to global optimization (Springer Science & Business Media, 2000)
2000
Earlier work this paper cites.
A. Papoulis and S. Pillai, Probability, Random Variables, and Stochastic Processes , McGraw-Hill series in electrical and computer engineering (McGraw-Hill, 2002)
2002
Earlier work this paper cites.
S. Aaronson and D. Gottesman, Improved simulation of stabilizer circuits, Physical Review A 70
2004
Earlier work this paper cites.
R. D. Somma, Quantum computation, complexity, and many-body physics, arXiv preprint quant-ph/0512209 (2005)
2005
Earlier work this paper cites.
W. H. Zurek, U. Dorner, and P. Zoller, Dynamics of a quantum phase transition, Phys. Rev. Lett. 95
2005
Earlier work this paper cites.
R. Somma, H. Barnum, G. Ortiz, and E. Knill, Efficient solvability of Hamiltonians and limits on the power of some quantum computational models, Physical Review Letters 97
2006
Earlier work this paper cites.
D. P. Dubhashi and A. Panconesi, Concentration of measure for the analysis of randomized algorithms (Cambridge University Press, 2009)
2009
Earlier work this paper cites.
J. J. Duistermaat and J. A. C. Kolk, Taylor expansion in several variables, in Distributions: Theory and Applications (Birkhäuser Boston, Boston, 2010) pp. 59–63
2010
Earlier work this paper cites.
V. Galitski, Quantum-to-classical correspondence and hubbard-stratonovich dynamical systems: A lie-algebraic approach, Phys. Rev. A 84
2011
Earlier work this paper cites.
M. Protter and C. Morrey, Intermediate Calculus , Undergraduate Texts in Mathematics (Springer New York, 2012)
2012
Earlier work this paper cites.
D. Wecker, M. B. Hastings, and M. Troyer, Progress towards practical quantum variational algorithms, Physical Review A 92
2015
Earlier work this paper cites.
J. R. McClean, S. Boixo, V. N. Smelyanskiy, R. Babbush, and H. Neven, Barren plateaus in quantum neural network training landscapes, Nature Communications 9
2018
Earlier work this paper cites.
N. C. Rubin, R. Babbush, and J. McClean, Application of fermionic marginal constraints to hybrid quantum algorithms, New Journal of Physics 20
2018
Earlier work this paper cites.
P. Rall, D. Liang, J. Cook, and W. Kretschmer, Simulation of qubit quantum circuits via pauli propagation, Physical Review A 99
2019
Earlier work this paper cites.
B. Koczor and S. C. Benjamin, Quantum analytic descent, arXiv preprint arXiv:2008.13774 (2020)
2020
Earlier work this paper cites.
C. Cirstoiu, Z. Holmes, J. Iosue, L. Cincio, P. J. Coles, and A. Sornborger, Variational fast forwarding for quantum simulation beyond the coherence time, npj Quantum Information 6
2020
Earlier work this paper cites.
J. Tangpanitanon, S. Thanasilp, N. Dangniam, M.-A. Lemonde, and D. G. Angelakis, Expressibility and trainability of parametrized analog quantum systems for machine learning applications, Physical Review Research 2
2020
Earlier work this paper cites.
H.-Y. Huang, R. Kueng, and J. Preskill, Predicting many properties of a quantum system from very few measurements, Nature Physics 16
2020
Earlier work this paper cites.
2020
Earlier work this paper cites.
C. O. Marrero, M. Kieferová, and N. Wiebe, Entanglement-induced barren plateaus, PRX Quantum 2
2021
Earlier work this paper cites.
T. L. Patti, K. Najafi, X. Gao, and S. F. Yelin, Entanglement devised barren plateau mitigation, Physical Review Research 3
2021
Earlier work this paper cites.
S. Wang, E. Fontana, M. Cerezo, K. Sharma, A. Sone, L. Cincio, and P. J. Coles, Noise-induced barren plateaus in variational quantum algorithms, Nature Communications 12
2021
Earlier work this paper cites.
Z. Holmes, A. Arrasmith, B. Yan, P. J. Coles, A. Albrecht, and A. T. Sornborger, Barren plateaus preclude learning scramblers, Physical Review Letters 126
2021
Earlier work this paper cites.
2021
Earlier work this paper cites.
M. Cerezo and P. J. Coles, Higher order derivatives of quantum neural networks with barren plateaus, Quantum Science and Technology 6
2021
Earlier work this paper cites.
2022
Earlier work this paper cites.
K. Bharti, T. Haug, V. Vedral, and L.-C. Kwek, Noisy intermediate-scale quantum algorithm for semidefinite programming, Physical Review A 105
2022
Earlier work this paper cites.
2022
Earlier work this paper cites.
K. Zhang, L. Liu, M.-H. Hsieh, and D. Tao, Escaping from the barren plateau via Gaussian initializations in deep variational quantum circuits, in Advances in Neural Information Processing Systems (2022)
2022
Earlier work this paper cites.
C. Huerta Alderete, M. H. Gordon, F. Sauvage, A. Sone, A. T. Sornborger, P. J. Coles, and M. Cerezo, Inference-based quantum sensing, Phys. Rev. Lett. 129
2022
Earlier work this paper cites.
M. Cerezo, K. Sharma, A. Arrasmith, and P. J. Coles, Variational quantum state eigensolver, npj Quantum Information 8
2022
Earlier work this paper cites.
A. Arrasmith, Z. Holmes, M. Cerezo, and P. J. Coles, Equivalence of quantum barren plateaus to cost concentration and narrow gorges, Quantum Science and Technology 7
2022
Cited alongside, same era.
K. Sharma, M. Cerezo, L. Cincio, and P. J. Coles, Trainability of dissipative perceptron-based quantum neural networks, Physical Review Letters 128
2022
Cited alongside, same era.
M. Larocca, P. Czarnik, K. Sharma, G. Muraleedharan, P. J. Coles, and M. Cerezo, Diagnosing Barren Plateaus with Tools from Quantum Optimal Control, Quantum 6
2022
Cited alongside, same era.
Z. Holmes, K. Sharma, M. Cerezo, and P. J. Coles, Connecting ansatz expressibility to gradient magnitudes and barren plateaus, PRX Quantum 3
2022
Cited alongside, same era.
A. A. Mele, G. B. Mbeng, G. E. Santoro, M. Collura, and P. Torta, Avoiding barren plateaus via transferability of smooth solutions in a Hamiltonian variational ansatz, Physical Review A 106
2024
Closest in time.
2024
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Y. Shao, F. Wei, S. Cheng, and Z. Liu, Simulating noisy variational quantum algorithms: A polynomial approach, Physical Review Letters 133
2024
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2024
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Cited alongside, same era.
A. J. Daley, I. Bloch, C. Kokail, S. Flannigan, N. Pearson, M. Troyer, and P. Zoller, Practical quantum advantage in quantum simulation, Nature 607
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2023
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2023
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