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Jin-Peng Liu
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D. An
,
Liu, J. - P.
,
Wang, D.
, and
Zhao, Q.
,
“
A theory of quantum differential equation solvers: limitations and fast-forwarding
”
, 2023.
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Q
D. An
,
Linden, N.
,
Liu, J. - P.
,
Montanaro, A.
,
Shao, C.
, and
Wang, J.
,
“
Quantum-accelerated multilevel Monte Carlo methods for stochastic differential equations in mathematical finance
”
,
Quantum 5, 481 (2021)
, vol. 5, p. 481, 2021.
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A. M. Childs
and
Liu, J. - P.
,
“
Quantum spectral methods for differential equations
”
,
Commun. Math. Phys.
, vol. 375, pp. 1427-1457, 2020.
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A. M. Childs
,
Leng, J.
,
Li, T.
,
Liu, J. - P.
, and
Zhang, C.
,
“
Quantum simulation of real-space dynamics
”
,
Quantum
, vol. 6, p. 860, 2022.
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C. Shao
and
Liu, J. - P.
,
“
Quantum algorithms for the polynomial eigenvalue problems
”
, 2020.
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N
C. Sun
and
Liu, J. - P.
,
“
New stepsizes for the gradient method
”
,
Optim Lett
, 2019.
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L
D. An
,
Liu, J. - P.
, and
Lin, L.
,
“
Linear combination of Hamiltonian simulation for non-unitary dynamics with optimal state preparation cost
”
,
Phys. Rev. Lett.
, vol. 131, no. 150603, 2023.
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H
A. M. Childs
,
Liu, J. - P.
, and
Ostrander, A.
,
“
High-precision quantum algorithms for partial differential equations
”
,
Quantum 5, 574
, vol. 5, no. 574, 2021.
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E
D. An
,
Fang, D.
,
Jordan, S.
,
Liu, J. - P.
,
Low, G. Hao
, and
Wang, J.
,
“
Efficient quantum algorithm for nonlinear reaction-diffusion equations and energy estimation
”
, 2022.
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J. - P. Liu
,
Kolden, H. Øie
,
Krovi, H. K.
,
Loureiro, N. F.
,
Trivisa, K.
, and
Childs, A. M.
,
“
Efficient quantum algorithm for dissipative nonlinear differential equations
”
,
Proceedings of the National Academy of Sciences
, vol. 118, 2021.
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