Fetching the paper…
Reading the bibliography…
Quantum algorithms for computing classical nonlinear maps are widely known for toy problems but might not suit potential applications to realistic physics simulations.
K. L. Kowalski, Truncation of the unitary sum
1965
Earlier work this paper cites.
A. J. Lichtenberg and M. A. Lieberman, Regular and Chaotic Dynamics
1992
Earlier work this paper cites.
R. Schack, Using a quantum computer to investigate quantum chaos
1998
Earlier work this paper cites.
B. Georgeot and D. L. Shepelyansky, Stable quantum computation of unstable classical chaos
2001
Earlier work this paper cites.
B. Georgeot and D. L. Shepelyansky, Exponential gain in quantum computing of quantum chaos and localization
2001
Earlier work this paper cites.
G. Benenti, G. Casati, S. Montangero, and D. L. Shepelyansky, Efficient quantum computing of complex dynamics
2001
Earlier work this paper cites.
B. Georgeot and D. L. Shepelyansky, Quantum computer inverting time arrow for macroscopic systems
2002
Earlier work this paper cites.
B. Lévi, B. Georgeot, and D. L. Shepelyansky, Quantum computing of quantum chaos in the kicked rotator model
2003
Earlier work this paper cites.
2004
Earlier work this paper cites.
K. M. Frahm, R. Fleckinger, and D. L. Shepelyansky, Quantum chaos and random matrix theory for fidelity decay in quantum computations with static imperfections
2004
Earlier work this paper cites.
B. Lévi and B. Georgeot, Quantum computation of a complex system: The kicked Harper model
2004
Earlier work this paper cites.
I. Y. Dodin and E. A. Startsev, On applications of quantum computing to plasma simulations
2005
Cited alongside, same era.
B. Georgeot and O. Giraud, Quantum computing of semiclassical formulas
2008
Cited alongside, same era.
E. K. P. Chong and S. H. Żak, An Introduction to Optimization
2008
Cited alongside, same era.
A. W. Harrow, A. Hassidim, and S. Lloyd, Quantum algorithm for linear systems of equations
2009
Cited alongside, same era.
D. Wirasaet, S. Tanaka, E. J. Kubatko, J. J. Westerink, and C. Dawson, A performance comparison of nodal discontinuous Galerkin methods on triangles and quadrilaterals
2010
Cited alongside, same era.
A. Scherer, B. Valiron, S.-C. Mau, S. Alexander, E. van den Berg, and T. E. Chapuran, Concrete resource analysis of the quantum linear-system algorithm used to compute the electromagnetic scattering cross section of a 2D target
2017
Later among the works it cites.
K. R. Meyer and D. C. Offin, Introduction to Hamiltonian Dynamical Systems and the N N -Body Problem
2017
Later among the works it cites.
P. J. Morrison, Structure and structure-preserving algorithms for plasma physics
2017
Later among the works it cites.
A. M. Childs, R. Kothari, and R. D. Somma, Quantum algorithm for systems of linear equations with exponentially improved dependence on precision
2017
Later among the works it cites.
A. Engel, G. Smith, and S. E. Parker, Quantum algorithm for the Vlasov equation
2019
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
2011
Cited alongside, same era.
2011
Cited alongside, same era.
2012
Cited alongside, same era.
I. Y. Dodin, Geometric view on noneikonal waves
2014
Cited alongside, same era.
A. Montanaro, Quantum algorithms: an overview
2016
Cited alongside, same era.
S. K. Leyton and T. J. Osborne, A quantum algorithm to solve nonlinear differential equations
Cited in the paper.
Piecewise-linear maps with rational coefficients, such as Arnold cat maps on a finite grid, can be calculated using integer operations. Then, classical computation is just as precise as quantum computation, contrary to Ref. [ 19 ] . See also C. Zalka, arXiv:quant-ph/0110019
Cited in the paper.
P. C. S. Costa, S. Jordan, and A. Ostrander, Quantum algorithm for simulating the wave equation
2019
Later among the works it cites.
Our calculations were facilitated by Mathematica
2019
Later among the works it cites.
J. B. Parker and I. Joseph, Quantum phase estimation for a class of generalized eigenvalue problems
2020
Later among the works it cites.
I. Joseph, Koopman–von Neumann approach to quantum simulation of nonlinear classical dynamics
2020
Later among the works it cites.
M. Lubasch, J. Joo, P. Moinier, M. Kiffner, and D. Jaksch, Variational quantum algorithms for nonlinear problems
2020
Later among the works it cites.