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Efficiently preparing approximate ground-states of large, strongly correlated systems on quantum hardware is challenging and yet nature is innately adept at this.
1909
Earlier work this paper cites.
M. Gell-Mann and F. Low, Bound states in quantum field theory, Phys. Rev. 84
1951
Earlier work this paper cites.
J. P. LaSalle, The ’bang-bang’ principle, IFAC Proceedings Volumes 1
1960
Earlier work this paper cites.
V. Strassen et al. , Gaussian elimination is not optimal, Numerische mathematik 13
1969
Earlier work this paper cites.
F. Barahona, On the computational complexity of Ising spin glass models, J. Phys. A 15
1982
Earlier work this paper cites.
R. P. Feynman, Simulating physics with computers, Int. J. Th. Phys. 21
1982
Earlier work this paper cites.
P. Deift, T. Nanda, and C. Tomei, Ordinary differential equations and the symmetric eigenvalue problem, SIAM Journal on Numerical Analysis 20
1983
Earlier work this paper cites.
A. M. Bloch, A completely integrable Hamiltonian system associated with line fitting in complex vector spaces, Bull. Amer. Math. Soc. DOI: https://doi.org/10.1090/S0273-0979-1985-15365-0 (1985b)
1985
Earlier work this paper cites.
V. Lotfi and S. Sarin, A graph coloring algorithm for large scale scheduling problems, Computers & Operations Research 13
1986
Earlier work this paper cites.
M. T. Chu, On the continuous realization of iterative processes, SIAM Review 30
1988
Earlier work this paper cites.
R. Brockett, Least squares matching problems, Linear Algebra and its Applications 122-124
1989
Earlier work this paper cites.
A. M. Bloch, Steepest descent, linear programming and Hamiltonian flows, Contemp. Math. AMS 114
1990
Earlier work this paper cites.
R. Brockett, Dynamical systems that sort lists, diagonalize matrices, and solve linear programming problems, Linear Algebra and its Applications 146
1991
Earlier work this paper cites.
A. M. Bloch, R. W. Brockett, and T. S. Ratiu, Completely integrable gradient flows, Communications in Mathematical Physics 147
1992
Earlier work this paper cites.
S. T. Smith, Geometric optimization methods for adaptive filtering (Harvard University, 1993)
1993
Earlier work this paper cites.
S. D. Głazek and K. G. Wilson, Renormalization of Hamiltonians, Phys. Rev. D 48
1993
Earlier work this paper cites.
J. Moore, R. Mahony, and U. Helmke, Numerical gradient algorithms for eigenvalue and singular value calculations, SIAM Journal on Matrix Analysis and Applications 15
1994
Earlier work this paper cites.
F. Wegner, Flow-equations for hamiltonians, Annalen der physik 506
1994
Earlier work this paper cites.
S. D. Glazek and K. G. Wilson, Perturbative renormalization group for Hamiltonians, Phys. Rev. D 49
1994
Earlier work this paper cites.
A. Y. Kitaev, Quantum measurements and the abelian stabilizer problem (1995), arXiv:quant-ph/9511026 [quant-ph]
1995
Earlier work this paper cites.
A. Barenco, C. H. Bennett, R. Cleve, D. P. DiVincenzo, N. Margolus, P. Shor, T. Sleator, J. A. Smolin, and H. Weinfurter, Elementary gates for quantum computation, Physical Review A 52
1995
Earlier work this paper cites.
R. Bhatia, Matrix analysis , Vol. 169 (Springer Science & Business Media, 1996)
1996
Earlier work this paper cites.
R. Impagliazzo and R. Paturi, Complexity of k-sat, in Proceedings. Fourteenth Annual IEEE Conference on Computational Complexity (Formerly: Structure in Complexity Theory Conference) (Cat.No.99CB36317) (1999) pp. 237–240
1999
Earlier work this paper cites.
D. Aharonov and T. Naveh, Quantum NP – a survey, arXiv: quant-ph/0210077 (2002)
2002
Earlier work this paper cites.
G. Brassard, P. Hoyer, M. Mosca, and A. Tapp, Quantum amplitude amplification and estimation, Contemporary Mathematics 305
2002
Earlier work this paper cites.
J. Kempe and O. Regev, 3-local Hamiltonian is QMA-complete, Quantum Inf. Comput. 3
2003
Earlier work this paper cites.
G. Song and A. Klappenecker, The simplified toffoli gate implementation by margolus is optimal (2003), arXiv:quant-ph/0312225 [quant-ph]
2003
Earlier work this paper cites.
R. W. Brockett, Smooth dynamical systems which realize arithmetical and logical operations, Three Decades of Mathematical System Theory: A Collection of Surveys at the Occasion of the 50th Birthday of Jan C. Willems , 19 (2005)
2005
Earlier work this paper cites.
J. Kempe, A. Kitaev, and O. Regev, The complexity of the local Hamiltonian problem, SIAM J. of Comp. 35
2006
Earlier work this paper cites.
F. Wegner, Flow equations and normal ordering: a survey, Journal of Physics A: Mathematical and General 39
2006
Earlier work this paper cites.
S. Kehrein, The flow equation approach to many-particle systems, Springer Tracts Mod. Phys. 217
2006
Earlier work this paper cites.
C. M. Dawson and M. A. Nielsen, The solovay-kitaev algorithm, Quantum Information & Computation 6
2006
Earlier work this paper cites.
M. B. Hastings, Entropy and entanglement in quantum ground states, Phys. Rev. B 76
2007
Earlier work this paper cites.
C. M. Dawson, J. Eisert, and T. J. Osborne, Unifying variational methods for simulating quantum many-body systems, Phys. Rev. Lett. 100
2008
Earlier work this paper cites.
G. Dirr and U. Helmke, Lie theory for quantum control, GAMM-Mitteilungen 31
2008
Earlier work this paper cites.
2008
Earlier work this paper cites.
D. Aharonov, D. Gottesman, S. Irani, and J. Kempe, The power of quantum systems on a line, Commun. Math. Phys. 287
2009
Earlier work this paper cites.
D. Poulin and P. Wocjan, Sampling from the thermal quantum gibbs state and evaluating partition functions with a quantum computer, Phys. Rev. Lett. 103
2009
Earlier work this paper cites.
2010
Earlier work this paper cites.
A. M. Childs and R. Kothari, Limitations on the simulation of non-sparse Hamiltonians, Quantum Information & Computation 10
2010
Earlier work this paper cites.
D. Dong and I. R. Petersen, Quantum control theory and applications: a survey, IET control theory & applications 4
2010
Earlier work this paper cites.
K. Temme, T. J. Osborne, K. G. Vollbrecht, D. Poulin, and F. Verstraete, Quantum metropolis sampling, Nature 471
2011
Earlier work this paper cites.
J. Haegeman, J. I. Cirac, T. J. Osborne, I. Pižorn, H. Verschelde, and F. Verstraete, Time-dependent variational principle for quantum lattices, Phys. Rev. Lett. 107
2011
Earlier work this paper cites.
T. Schulte-Herbrüggen, A. Spörl, N. Khaneja, and S. Glaser, Optimal control for generating quantum gates in open dissipative systems, Journal of Physics B: Atomic, Molecular and Optical Physics 44
2011
Earlier work this paper cites.
T. J. Osborne, Hamiltonian complexity, Rep. Prof. Phys. 75
2012
Earlier work this paper cites.
U. Helmke and J. B. Moore, Optimization and dynamical systems (Springer Science & Business Media, 2012)
2012
Earlier work this paper cites.
A. M. Childs and N. Wiebe, Hamiltonian simulation using linear combinations of unitary operations, Quantum Information & Computation 12
2012
Earlier work this paper cites.
I. Kurniawan, G. Dirr, and U. Helmke, Controllability aspects of quantum dynamics: a unified approach for closed and open systems, IEEE transactions on automatic control 57
2012
Cited alongside, same era.
A. M. Childs and N. Wiebe, Product formulas for exponentials of commutators, Journal of Mathematical Physics 54
2013
Cited alongside, same era.
P. Nataf and F. Mila, Exact Diagonalization of Heisenberg SU ( N ) \mathrm{SU}(N) Models, Phys. Rev. Lett. 113
2014
Cited alongside, same era.
D. Wecker, B. Bauer, B. K. Clark, M. B. Hastings, and M. Troyer, Gate-count estimates for performing quantum chemistry on small quantum computers, Phys. Rev. A 90
2014
Cited alongside, same era.
J. Haegeman, M. Mariën, T. J. Osborne, and F. Verstraete, Geometry of matrix product states: Metric, parallel transport, and curvature, Journal of Mathematical Physics 55
2014
L. Bittel and M. Kliesch, Training variational quantum algorithms is np-hard, Phys. Rev. Lett. 127
2021
Later among the works it cites.
D. Stilck Franca and R. Garcia-Patron, Limitations of optimization algorithms on noisy quantum devices, Nature Physics 17
2021
Later among the works it cites.
J. Boruch, P. Caputa, D. Ge, and T. Takayanagi, Holographic path-integral optimization, Journal of High Energy Physics 2021
2021
Later among the works it cites.
A. Auffèves, Quantum technologies need a quantum energy initiative, PRX Quantum 3
2022
Later among the works it cites.
Y. Dong, L. Lin, and Y. Tong, Ground-state preparation and energy estimation on early fault-tolerant quantum computers via quantum eigenvalue transformation of unitary matrices, PRX Quantum 3
2022
Later among the works it cites.
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Cited alongside, same era.
S. Lloyd, M. Mohseni, and P. Rebentrost, Quantum principal component analysis, Nature Physics 10
2014
Cited alongside, same era.
S. Gharibian, Y. Huang, Z. Landau, S. W. Shin, et al. , Quantum Hamiltonian complexity, Found. Tr. Th. Comp. Sc. 10
2015
Cited alongside, same era.
D. W. Berry, A. M. Childs, R. Cleve, R. Kothari, and R. D. Somma, Simulating Hamiltonian Dynamics with a Truncated Taylor Series, Phys. Rev. Lett. 114
2015
Cited alongside, same era.
D. Wecker, M. B. Hastings, and M. Troyer, Progress towards practical quantum variational algorithms, Physical Review A 92
2015
Cited alongside, same era.
2016
Cited alongside, same era.
H. Karimi, J. Nutini, and M. Schmidt, Linear convergence of gradient and proximal-gradient methods under the polyak-łojasiewicz condition, in Machine Learning and Knowledge Discovery in Databases: European Conference, ECML PKDD 2016, Riva del Garda, Italy, September 19-23, 2016, Proceedings, Part I 16 (Springer, 2016) pp. 795–811
2016
Cited alongside, same era.
S. Kuang, D. Dong, and I. R. Petersen, Rapid Lyapunov control of finite-dimensional quantum systems, Automatica 81
2017
Cited alongside, same era.
E. N. Epperly, L. Lin, and Y. Nakatsukasa, A theory of quantum subspace diagonalization, SIAM Journal on Matrix Analysis and Applications 43
2022
Later among the works it cites.
L. Lin and Y. Tong, Heisenberg-Limited Ground-State Energy Estimation for Early Fault-Tolerant Quantum Computers, PRX Quantum 3
2022
Later among the works it cites.
K. Bharti, A. Cervera-Lierta, T. H. Kyaw, T. Haug, S. Alperin-Lea, A. Anand, M. Degroote, H. Heimonen, J. S. Kottmann, T. Menke, W.-K. Mok, S. Sim, L.-C. Kwek, and A. Aspuru-Guzik, Noisy intermediate-scale quantum algorithms, Rev. Mod. Phys. 94
2022
Later among the works it cites.
2022
Later among the works it cites.
Y.-A. Chen, A. M. Childs, M. Hafezi, Z. Jiang, H. Kim, and Y. Xu, Efficient product formulas for commutators and applications to quantum simulation, Phys. Rev. Res. 4
2022
Later among the works it cites.
S. Balauca and A. Arusoaie, Efficient constructions for simulating multi controlled quantum gates, in International Conference on Computational Science (Springer, 2022) pp. 179–194
2022
Later among the works it cites.
J. L. Bosse and A. Montanaro, Probing ground-state properties of the kagome antiferromagnetic heisenberg model using the variational quantum eigensolver, Phys. Rev. B 105
2022
Later among the works it cites.
J. Kattemölle and J. van Wezel, Variational quantum eigensolver for the heisenberg antiferromagnet on the kagome lattice, Phys. Rev. B 106
2022
Later among the works it cites.
2022
Later among the works it cites.
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2022
Later among the works it cites.
M. Kjaergaard, M. Schwartz, A. Greene, G. Samach, A. Bengtsson, M. O’Keeffe, C. McNally, J. Braumüller, D. Kim, P. Krantz, et al. , Demonstration of density matrix exponentiation using a superconducting quantum processor, Physical Review X 12
2022
Later among the works it cites.
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Later among the works it cites.
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2023
Later among the works it cites.
R. Wiersema and N. Killoran, Optimizing quantum circuits with Riemannian gradient flow, Phys. Rev. A 107
2023
Later among the works it cites.
2023
Later among the works it cites.
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2023
Later among the works it cites.
T. Yamamoto and R. Ohira, Error suppression by a virtual two-qubit gate, Journal of Applied Physics 133
2023
Later among the works it cites.
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