Fetching the paper…
Reading the bibliography…
Quantum computers can be used to simulate nonlinear non-Hamiltonian classical dynamics on phase space by using the generalized Koopman-von Neumann formulation of classical mechanics.
A. Engel, G. Smith, and S. E. Parker (2019), eprint arXiv:1907.09418v1
1907
Earlier work this paper cites.
B. O. Koopman, Proc. Nat. Acad. Sci. 17
1931
Earlier work this paper cites.
P. A. M. Dirac, Canadian J. Math 2
1950
Earlier work this paper cites.
L. S. Pontryagin, V. G. Boltyanskii, R. V. Gamkrelidze, and E. F. Mishechenko, The Mathematical Theory of Optimal Processes (John Wiley & Sons, New York, 1962)
1962
Earlier work this paper cites.
V. I. Arnold, Funct. Anal. Its Appl. 1
1967
Earlier work this paper cites.
B. Kostant, Line bundles and the prequantized Schroedinger equation , vol. IV.1-IV.22 of Colloquium on group theoretical methods in physics (Centre de Physique Théorique, Marseille, 1972)
1972
Earlier work this paper cites.
V. P. Maslov, Théorie des Perturbations et Méthodes Asymptotiques (Dunod, Paris, 1972)
1972
Earlier work this paper cites.
G. Casati, B. V. Chirikov, F. M. Izraelev, and J. Ford, Stochastic Behavior in Classical and Quantum Hamiltonian Systems , vol. 93 of Lecture Notes in Physics (Springer, New York, 1979)
1979
Earlier work this paper cites.
F. M. Izrailev and D. L. Shepelyanskii, Teor. Mat. Fiz. 43
1980
Earlier work this paper cites.
B. Schutz, Geometrical Methods of Mathematical Physics (Cambridge University Press, New York, 1980)
1980
Earlier work this paper cites.
B. V. Chirikov, F. M. Izrailev, and D. L. Shepelyanskii, Soviet Scientific Reviews 2C
1981
Earlier work this paper cites.
V. P. Maslov and M. V. Fedoriuk, Semi-Classical Approximation in Quantum Mechanics (Reidel, Boston, 1981)
1981
Earlier work this paper cites.
R. P. Feynman, Int. J. Theor. Phys 21
1982
Earlier work this paper cites.
S. Fishman, D. R. Grempel, and R. E. Prange, Phys. Rev. Lett. 49
1982
Earlier work this paper cites.
A. N. Gorban and V. A. Okhon, preprint 29 B, B, Inst. of Phys., Krasnoyarsk (1983)
1983
Earlier work this paper cites.
B. V. Chirikov, F. M. Izrailev, and D. L. Shepelyansky, Physica D 33
1988
Earlier work this paper cites.
R. Abraham, J. E. Marsden, and T. Ratiu, Manifolds, Tensor Analysis, and Applications , vol. 75 of Applied Mathematical Sciences (Springer-Verlag, New York, 1988)
1988
Earlier work this paper cites.
D. Pfirsch and P. J. Morrison, Phys. Fluids B 3
1991
Earlier work this paper cites.
H. Ye and P. J. Morrison, Phys. Fluids B 4
1992
Earlier work this paper cites.
R. G. Littlejohn, J. Stat. Phys. 68
1992
Earlier work this paper cites.
A. J. Lichtenberg and M. A. Lieberman, Regular and Chaotic Dynamics (Springer-Verlag, New York, 1992)
1992
Cited alongside, same era.
P. J. Olver, Applications of Lie Groups to Differential Equations , vol. 107 of Graduate Texts in Mathematics (Springer-Verlag, New York, 1993)
1993
Cited alongside, same era.
H. Kleinert, Path Integrals in Quantum Mechanics, Statistics, and Polymer Physics (World Scientific, New Jersey, 1995)
1995
Cited alongside, same era.
S. Lloyd, Science 273
1996
Cited alongside, same era.
Y. Morinishi, T. S. Lund, O. V. Vasilyev, and P. Moin, J. Comp Phys. 143
1998
Cited alongside, same era.
L. K. Grover (1998), eprint arXiv:quant-ph/9711043, URL https://arxiv.org/abs/quant-ph/9711043
1998
M. H. Kalos and P. A. Whitlock, Monte Carlo Methods (WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim, 2008)
2008
Later among the works it cites.
P. Wocjan, C.-F. Chiang, D. Nagel, and A. Abeyesinghe, Phys. Rev. A 80
2009
Later among the works it cites.
Y. Morinishi, J. Comp. Phys. 229
2010
Later among the works it cites.
2011
Later among the works it cites.
S. Heinrich and H. Novak (2011), eprint arXiv:quant-ph/0105114, URL https://arxiv.org/abs/quant-ph/0105114
2011
Later among the works it cites.
A. Montanaro, Proc. R. Soc. A 471
2015
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Cited alongside, same era.
P. J. Morrison, Rev. Mod. Phys. 70
1998
Cited alongside, same era.
D. S. Abrams and C. P. Williams (1999), eprint arXiv:quant-ph/9908083, URL https://arxiv.org/abs/quant-ph/9908083
1999
Cited alongside, same era.
G. Brassard, P. Hoyer, M. Mosca, and A. Tapp (2000), eprint arXiv:quant-ph/0005055, URL https://arxiv.org/abs/quant-ph/0005055
2000
Cited alongside, same era.
G. Benenti, G. Casati, S. Montangero, and D. L. Shepelyansky, Phys. Rev. Lett. 87
2001
Cited alongside, same era.
S. Heinrich, J. Complexity 18
2001
Cited alongside, same era.
D. Aharonov, A. Ambianis, J. Kempe, and U. Vazirani (2002), eprint arXiv:quant-ph/0012090
2002
Cited alongside, same era.
D. W. Berry, A. M. Childs, and R. Kothari, Proc. of 56th Annual IEEE Symposium on Foundations of Computer Science (FOCS 2015) p. 792 (2015), URL https://doi.org/10.1109/FOCS.2015.54
2015
Later among the works it cites.
E. A. Martinez, C. A. Muschik, P. Schindler, et al., Nature 534
2016
Later among the works it cites.
P. Cvitanović, R. Artuso, R. Mainieri, G. Tanner, and G. Vattay, Chaos: Classical and Quantum ( ChaosBook.org
2016
Later among the works it cites.
P. Roushan, C. Neill, J. Tangpanitanon, et al., Science 358
2017
Later among the works it cites.
D. W. Berry (2017), eprint arXiv:1010.2745
2017
Later among the works it cites.
D. Abanin and Z. Papić, Ann. Phys. (Berlin) 529
2017
Later among the works it cites.
F. Alet and F. Laflorencie, C. R. Physique 19
2018
Later among the works it cites.
F. D. Halpern and R. E. Waltz, Phys. Plasmas 25
2018
Later among the works it cites.
U. Klein, Quantum Stud.: Math. Found. 5
2018
Later among the works it cites.
F. Arute, K. Arya, R. Babbush, et al., Nature 574
2019
Later among the works it cites.
P. C. S. Costa, S. Jordan, and A. Ostrander (2019), eprint arXiv:1711.05394v4
2019
Later among the works it cites.
D. A. Abanin, E. Altman, I. Bloch, and M. Serbyn, Rev. Mod. Phys. 91
2019
Later among the works it cites.
D. I. Bondar, F. Gay-Balmaz, and C. Tronci, Proc. Roy. Soc. A 475
2019
Later among the works it cites.