Fetching the paper…
Reading the bibliography…
Variational quantum computing schemes train a loss function by sending an initial state through a parametrized quantum circuit, and measuring the expectation value of some operator.
H. Barnum, E. Knill, G. Ortiz, and L. Viola, Generalizations of entanglement based on coherent states and convex sets, Physical Review A 68
2003
Earlier work this paper cites.
R. Somma, G. Ortiz, H. Barnum, E. Knill, and L. Viola, Nature and measure of entanglement in quantum phase transitions, Physical Review A 70
2004
Earlier work this paper cites.
H. Barnum, E. Knill, G. Ortiz, R. Somma, and L. Viola, A subsystem-independent generalization of entanglement, Physical Review Letters 92
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.
D. D’Alessandro, Introduction to Quantum Control and Dynamics , Chapman & Hall/CRC Applied Mathematics & Nonlinear Science (Taylor & Francis, 2007)
2007
Earlier work this paper cites.
A. Kirillov Jr, An introduction to Lie groups and Lie algebras , 113 (Cambridge University Press, 2008)
2008
Earlier work this paper cites.
C. Dankert, R. Cleve, J. Emerson, and E. Livine, Exact and approximate unitary 2-designs and their application to fidelity estimation, Physical Review A 80
2009
Earlier work this paper cites.
R. Zeier and T. Schulte-Herbrüggen, Symmetry principles in quantum systems theory, Journal of mathematical physics 52
2011
Earlier work this paper cites.
A. W. Knapp, Lie Groups Beyond an Introduction , Vol. 140 (Springer Science & Business Media, 2013)
2013
Earlier work this paper cites.
A. Peruzzo, J. McClean, P. Shadbolt, M.-H. Yung, X.-Q. Zhou, P. J. Love, A. Aspuru-Guzik, and J. L. O’brien, A variational eigenvalue solver on a photonic quantum processor, Nature Communications 5
2014
Earlier work this paper cites.
2014
Earlier work this paper cites.
M. Schuld, I. Sinayskiy, and F. Petruccione, An introduction to quantum machine learning, Contemporary Physics 56
2015
Earlier work this paper cites.
Z. Zimborás, R. Zeier, T. Schulte-Herbrüggen, and D. Burgarth, Symmetry criteria for quantum simulability of effective interactions, Physical Review A 92
2015
Earlier work this paper cites.
J. Biamonte, P. Wittek, N. Pancotti, P. Rebentrost, N. Wiebe, and S. Lloyd, Quantum machine learning, Nature 549
2017
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.
S. Hadfield, Z. Wang, B. O’Gorman, E. G. Rieffel, D. Venturelli, and R. Biswas, From the quantum approximate optimization algorithm to a quantum alternating operator ansatz, Algorithms 12
2019
Earlier work this paper cites.
M. Benedetti, E. Lloyd, S. Sack, and M. Fiorentini, Parameterized quantum circuits as machine learning models, Quantum Science and Technology 4
2019
Earlier work this paper cites.
V. Havlíček, A. D. Córcoles, K. Temme, A. W. Harrow, A. Kandala, J. M. Chow, and J. M. Gambetta, Supervised learning with quantum-enhanced feature spaces, Nature 567
2019
Earlier work this paper cites.
S. Khatri, R. LaRose, A. Poremba, L. Cincio, A. T. Sornborger, and P. J. Coles, Quantum-assisted quantum compiling, Quantum 3
2019
Earlier work this paper cites.
A. Uvarov, J. D. Biamonte, and D. Yudin, Variational quantum eigensolver for frustrated quantum systems, Physical Review B 102
2020
Earlier work this paper cites.
S. Endo, Z. Cai, S. C. Benjamin, and X. Yuan, Hybrid quantum-classical algorithms and quantum error mitigation, Journal of the Physical Society of Japan 90
2021
Earlier work this paper cites.
L. Bittel and M. Kliesch, Training variational quantum algorithms is NP-hard, Phys. Rev. Lett. 127
2021
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.
2021
Earlier work this paper cites.
A. Pesah, M. Cerezo, S. Wang, T. Volkoff, A. T. Sornborger, and P. J. Coles, Absence of barren plateaus in quantum convolutional neural networks, Physical Review X 11
2021
Cited alongside, same era.
J. Lee, A. B. Magann, H. A. Rabitz, and C. Arenz, Progress toward favorable landscapes in quantum combinatorial optimization, Physical Review A 104
2021
Cited alongside, same era.
A. Uvarov and J. D. Biamonte, On barren plateaus and cost function locality in variational quantum algorithms, Journal of Physics A: Mathematical and Theoretical 54
2021
Cited alongside, same era.
C. Leadbeater, L. Sharrock, B. Coyle, and M. Benedetti, F-divergences and cost function locality in generative modelling with quantum circuits, Entropy 23
2021
Cited alongside, same era.
A. Abbas, D. Sutter, C. Zoufal, A. Lucchi, A. Figalli, and S. Woerner, The power of quantum neural networks, Nature Computational Science 1
L. Friedrich and J. Maziero, Quantum neural network cost function concentration dependency on the parametrization expressivity, Scientific Reports 13
2023
Closest in time.
E. C. Martín, K. Plekhanov, and M. Lubasch, Barren plateaus in quantum tensor network optimization, Quantum 7
2023
Closest in time.
H. R. Grimsley, N. J. Mayhall, G. S. Barron, E. Barnes, and S. E. Economou, Adaptive, problem-tailored variational quantum eigensolver mitigates rough parameter landscapes and barren plateaus, npj Quantum Information 9
2023
Closest in time.
M. Kashif and S. Al-Kuwari, The impact of cost function globality and locality in hybrid quantum neural networks on nisq devices, Machine Learning: Science and Technology 4
2023
Closest in time.
S. Thanaslip, S. Wang, N. A. Nghiem, P. J. Coles, and M. Cerezo, Subtleties in the trainability of quantum machine learning models, Quantum Machine Intelligence 5
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
2021
Cited alongside, same era.
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
Cited alongside, same era.
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
Cited alongside, same era.
D. Stilck França and R. Garcia-Patron, Limitations of optimization algorithms on noisy quantum devices, Nature Physics 17
2021
Cited alongside, same era.
C. Zhao and X.-S. Gao, Analyzing the barren plateau phenomenon in training quantum neural networks with the ZX-calculus, Quantum 5
2021
Cited alongside, same era.
K. Bharti, A. Cervera-Lierta, T. H. Kyaw, T. Haug, S. Alperin-Lea, A. Anand, M. Degroote, H. Heimonen, J. S. Kottmann, T. Menke, et al. , Noisy intermediate-scale quantum algorithms, Reviews of Modern Physics 94
2022
Cited alongside, same era.
E. R. Anschuetz and B. T. Kiani, Beyond barren plateaus: Quantum variational algorithms are swamped with traps, Nature Communications 13
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.
2023
Closest in time.
2023
Closest in time.
2023
Closest in time.
V. Heyraud, Z. Li, K. Donatella, A. L. Boité, and C. Ciuti, Efficient estimation of trainability for variational quantum circuits, PRX Quantum 4
2023
Closest in time.
2023
Closest in time.
R. J. Garcia, C. Zhao, K. Bu, and A. Jaffe, Barren plateaus from learning scramblers with local cost functions, Journal of High Energy Physics 2023
2023
Closest in time.
2023
Closest in time.
2023
Closest in time.
M. Larocca, N. Ju, D. García-Martín, P. J. Coles, and M. Cerezo, Theory of overparametrization in quantum neural networks, Nature Computational Science 3
2023
Closest in time.
2023
Closest in time.
2023
Closest in time.
A. W. Harrow and S. Mehraban, Approximate unitary t-designs by short random quantum circuits using nearest-neighbor and long-range gates, Communications in Mathematical Physics 401
2023
Closest in time.
L. Leone, S. F. Oliviero, L. Cincio, and M. Cerezo, On the practical usefulness of the hardware efficient ansatz, Quantum 8
2024
Closest in time.
D. García-Martín, M. Larocca, and M. Cerezo, Effects of noise on the overparametrization of quantum neural networks, Phys. Rev. Res. 6
2024
Closest in time.
L. Schatzki, M. Larocca, Q. T. Nguyen, F. Sauvage, and M. Cerezo, Theoretical guarantees for permutation-equivariant quantum neural networks, npj Quantum Information 10
2024
Closest in time.
S. Kazi, M. Larocca, and M. Cerezo, On the universality of s n s_{n} -equivariant k k -body gates, New Journal of Physics 26
2024
Closest in time.
Q. Miao and T. Barthel, Isometric tensor network optimization for extensive hamiltonians is free of barren plateaus, Physical Review A 109
2024
Closest in time.
H.-K. Zhang, S. Liu, and S.-X. Zhang, Absence of barren plateaus in finite local-depth circuits with long-range entanglement, Physical Review Letters 132
2024
Closest in time.
2024
Closest in time.
2024
Closest in time.
A. A. Mele, Introduction to haar measure tools in quantum information: A beginner’s tutorial, Quantum 8
2024
Closest in time.