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We describe a quantum algorithm for preparing states that encode solutions of non-homogeneous linear partial differential equations.
H. F. Trotter, Proceedings of the American Mathematical Society 10
1959
Earlier work this paper cites.
A. G. Werschulz, The computational complexity of differential and integral equations: an information-based approach (Oxford University Press, 1991)
1991
Earlier work this paper cites.
M. Suzuki, Proceedings of the Japan Academy, Series B 69
1993
Earlier work this paper cites.
P. W. Shor, in Foundations of Computer Science, 1994 Proceedings., 35th Annual Symposium on (IEEE, New York, 1994), pp. 124–134
1994
Earlier work this paper cites.
L. K. Grover, in Proceedings of the twenty-eighth annual ACM Symposium on Theory of Computing (ACM, 1996), pp. 212–219
1996
Earlier work this paper cites.
S. Lloyd, Science 273
1996
Earlier work this paper cites.
K. Ritter and G. W. Wasilkowski, Lectures in Applies Mathematics 32
1996
Earlier work this paper cites.
S. Lloyd and S. L. Braunstein, Physical Review Letters 82
1999
Earlier work this paper cites.
M. H. Freedman, A. Kitaev, and Z. Wang, Communications in Mathematical Physics 227
2002
Earlier work this paper cites.
S. L. Braunstein and P. Van Loock, Reviews of Modern Physics 77
2005
Earlier work this paper cites.
S. Hallgren, Journal of the ACM (JACM) 54
2007
Earlier work this paper cites.
D. W. Berry, G. Ahokas, R. Cleve, and B. C. Sanders, Communications in Mathematical Physics 270
2007
Earlier work this paper cites.
S. K. Leyton and T. J. Osborne, arXiv:0812.4423 (2008)
2008
Earlier work this paper cites.
D. Aharonov, V. Jones, and Z. Landau, Algorithmica 55
2009
Cited alongside, same era.
A. W. Harrow, A. Hassidim, and S. Lloyd, Physical Review Letters 103
2009
Cited alongside, same era.
A. M. Childs and W. Van Dam, Reviews of Modern Physics 82
2010
Cited alongside, same era.
D. W. Berry, arXiv:1010.2745 (2010)
2010
Cited alongside, same era.
S. Sefi and P. van Loock, Physical Review Letters 107
2011
Cited alongside, same era.
N. Wiebe, D. Braun, and S. Lloyd, Physical Review Letters 109
2012
Cited alongside, same era.
I. Dhand and B. C. Sanders, Journal of Physics A: Mathematical and Theoretical 47
2014
Later among the works it cites.
D. W. Berry, A. M. Childs, and R. Kothari, in Foundations of Computer Science (FOCS), 2015 IEEE 56th Annual Symposium on (IEEE, 2015), pp. 792–809
2015
Later among the works it cites.
A. Montanaro and S. Pallister, Physical Review A 93
2016
Later among the works it cites.
2016
Later among the works it cites.
F. G. Brandao and K. M. Svore, in Foundations of Computer Science (FOCS), 2017 IEEE 58th Annual Symposium on (IEEE, 2017), pp. 415–426
2017
Later among the works it cites.
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Y. Cao, A. Papageorgiou, I. Petras, J. Traub, and S. Kais, New Journal of Physics 15
2013
Cited alongside, same era.
B. D. Clader, B. C. Jacobs, and C. R. Sprouse, Phys. Rev. Lett. 110
2013
Cited alongside, same era.
J. W. Thomas, Numerical partial differential equations: finite difference methods , vol. 22 (Springer Science & Business Media, 2013)
2013
Cited alongside, same era.
S. Lloyd, M. Mohseni, and P. Rebentrost, Nature Physics 10
2014
Cited alongside, same era.
P. Rebentrost, M. Mohseni, and S. Lloyd, Physical Review Letters 113
2014
Cited alongside, same era.
D. W. Berry, Journal of Physics A: Mathematical and Theoretical 47
2014
Cited alongside, same era.
2017
Later among the works it cites.
J. Biamonte, P. Wittek, N. Pancotti, P. Rebentrost, N. Wiebe, and S. Lloyd, Nature 549
2017
Later among the works it cites.
A. Childs, R. Kothari, and R. Somma, SIAM Journal on Computing 46
2017
Later among the works it cites.
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2018
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2018
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