Fetching the paper…
Reading the bibliography…
Quantum algorithms for simulation of Hamiltonian evolution are often based on product formulae.
M. Creutz and A. Gocksch, Physical Review Letters 63
1989
Earlier work this paper cites.
M. Suzuki, Physics Letters A 146
1990
Earlier work this paper cites.
H. Yoshida, Physics Letters A 150
1990
Earlier work this paper cites.
E. Forest and R. D. Ruth, Physica D: Nonlinear Phenomena 43
1990
Earlier work this paper cites.
M. Campostrini and P. Rossi, Nuclear Physics B 329
1990
Earlier work this paper cites.
M. Suzuki, Journal of Mathematical Physics 32
1991
Earlier work this paper cites.
M. P. Calvo and J. M. Sanz-Serna, SIAM Journal on Scientific Computing 14
1993
Earlier work this paper cites.
M. Suzuki and K. Umeno, in Computer Simulation Studies in Condensed-Matter Physics VI , edited by D. P. Landau, K. K. Mon, and H.-B. Schüttler (Springer Berlin Heidelberg, Berlin, Heidelberg, 1993) pp. 74–86
1993
Earlier work this paper cites.
R. I. McLachlan, SIAM Journal on Scientific Computing 16
1995
Earlier work this paper cites.
S. Lloyd, Science 273
1996
Earlier work this paper cites.
M. A. Lopez-Marcos, R. D. Skeel, and J. M. Sanz-Serna, in Numerical Analysis (Longman Scientific and Technical, 1996) pp. 107–122
1996
Earlier work this paper cites.
J. Butcher and J. Sanz-Serna, Applied Numerical Mathematics 22
1996
Earlier work this paper cites.
R. I. McLachlan, Integration Algorithms and Classical Mechanics 10
1996
Earlier work this paper cites.
J. Wisdom, M. Holman, and J. Touma, Integration Algorithms and Classical Mechanics 10
1996
Earlier work this paper cites.
W. Kahan and R.-C. Li, Mathematics of Computation 66
1997
Earlier work this paper cites.
C. Tsitouras, Celestial Mechanics and Dynamical Astronomy 74
1999
Earlier work this paper cites.
S. Blanes, F. Casas, and J. Ros, SIAM Journal on Scientific Computing 21
1999
Earlier work this paper cites.
S. Blanes, Applied Numerical Nathematics 37
2001
Cited alongside, same era.
R. I. McLachlan, Numerical Algorithms 31
2002
Cited alongside, same era.
S. Blanes and P. Moan, Journal of Computational and Applied Mathematics 142
2002
Cited alongside, same era.
D. Aharonov and A. Ta-Shma, in Proceedings of the Thirty-Fifth Annual ACM Symposium on Theory of Computing , STOC ’03 (Association for Computing Machinery, New York, NY, USA, 2003) p. 20–29
2003
Cited alongside, same era.
S. Blanes and F. Casas, Linear Algebra and its Applications 378
2004
Cited alongside, same era.
M. Sofroniou and G. Spaletta, Optimization Methods and Software 20
2005
Cited alongside, same era.
R. Babbush, J. McClean, D. Wecker, A. Aspuru-Guzik, and N. Wiebe, Physical Review A 91
2015
Later among the works it cites.
A. Van-Brunt and M. Visser, Journal of Mathematical Physics 57
2016
Later among the works it cites.
G. H. Low and I. L. Chuang, Physical Review Letters 118
2017
Later among the works it cites.
A. M. Childs, D. Maslov, Y. Nam, N. J. Ross, and Y. Su, Proceedings of the National Academy of Sciences 115
2018
Later among the works it cites.
R. Babbush, C. Gidney, D. W. Berry, N. Wiebe, J. McClean, A. Paler, A. Fowler, and H. Neven, Physical Review X 8
2018
Later among the works it cites.
G. H. Low, in Proceedings of the 51st Annual ACM SIGACT Symposium on Theory of Computing , STOC 2019 (Association for Computing Machinery, New York, NY, USA, 2019) p. 491–502
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
E. Hairer, G. Wanner, and C. Lubich, Geometric Numerical Integration: Structure-Preserving Algorithms for Ordinary Differential Equations (Springer-Verlag, 2006)
2006
Cited alongside, same era.
S. Blanes, F. Casas, and A. Murua, SIAM Journal on Scientific Computing 27
2006
Cited alongside, same era.
E. Forest, Journal of Physics A: Mathematical and General 39
2006
Cited alongside, same era.
D. W. Berry, G. Ahokas, R. Cleve, and B. C. Sanders, Communications in Mathematical Physics 270
2007
Cited alongside, same era.
S. Blanes, F. Casas, and A. Murua, Boletin de la Sociedad Espanola de Matematica Aplicada 45
2008
Cited alongside, same era.
D. W. Berry and A. M. Childs, Quantum Information and Computation 12
2012
Cited alongside, same era.
2019
Later among the works it cites.
E. Campbell, Physical Review Letters 123
2019
Later among the works it cites.
A. M. Childs, A. Ostrander, and Y. Su, Quantum 3
2019
Later among the works it cites.
E. Alberdi, M. Antoñana, J. Makazaga, and A. Murua, arXiv: 1909.07263 (2019)
2019
Later among the works it cites.
I. Duleba and I. Karcz-Duleba, in Computer Aided Systems Theory – EUROCAST 2019 , edited by R. Moreno-Díaz, F. Pichler, and A. Quesada-Arencibia (Springer International Publishing, Cham, 2020) pp. 465–473
2020
Later among the works it cites.
A. M. Childs, Y. Su, M. C. Tran, N. Wiebe, and S. Zhu, Physical Review X 11
2021
Later among the works it cites.
C. Gidney and M. Ekerå, Quantum 5
2021
Later among the works it cites.
J. Ostmeyer, Journal of Physics A: Mathematical and Theoretical 56
2023
Closest in time.
G. H. Low, Y. Su, Y. Tong, and M. C. Tran, PRX Quantum 4
2023
Closest in time.
N. C. Rubin, D. W. Berry, A. Kononov, F. D. Malone, T. Khattar, A. White, J. Lee, H. Neven, R. Babbush, and A. D. Baczewski, Proceedings of the National Academy of Sciences 121
2024
Closest in time.
C.-H. Cho, D. W. Berry, and M.-H. Hsieh, Physical Review A 109
2024
Closest in time.