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Dominic W. Berry
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D. W. Berry
,
Childs, A. M.
,
Su, Y.
,
Wang, X.
, and
Wiebe, N.
,
“
Time-dependent Hamiltonian simulation with L1-norm scaling
”
,
Quantum
, vol. 4, no. 254, 2020.
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S
D. W. Berry
,
Childs, A. M.
,
Cleve, R.
,
Kothari, R.
, and
Somma, R. D.
,
“
Simulating Hamiltonian dynamics with a truncated Taylor series
”
,
Physical Review Letters
, vol. 114, no. 9, p. 090502, 2015.
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Q
D. W. Berry
,
Childs, A. M.
,
Ostrander, A.
, and
Wang, G.
,
“
Quantum algorithm for linear differential equations with exponentially improved dependence on precision
”
,
Communications in Mathematical Physics
, vol. 356, no. 3, pp. 1057-1081, 2017.
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O
P. C. S. Costa
,
An, D.
,
Sanders, Y. R.
,
Su, Y.
,
Babbush, R.
, and
Berry, D. W.
,
“
Optimal scaling quantum linear systems solver via discrete adiabatic theorem
”
, 2021.
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H
D. W. Berry
,
Childs, A. M.
, and
Kothari, R.
,
“
Hamiltonian simulation with nearly optimal dependence on all parameters
”
,
Proceedings of the 56th IEEE Symposium on Foundations of Computer Science
, pp. 792-809, 2015.
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G
M. E. S. Morales
,
Costa, P. C. S.
,
Pantaleoni, G.
,
Burgarth, D. K.
,
Sanders, Y. R.
, and
Berry, D. W.
,
“
Greatly improved higher-order product formulae for quantum simulation
”
, 2024.
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E
D. W. Berry
,
Childs, A. M.
,
Cleve, R.
,
Kothari, R.
, and
Somma, R. D.
,
“
Exponential improvement in precision for simulating sparse Hamiltonians
”
,
Proceedings of the 46th ACM Symposium on Theory of Computing (STOC 2014)
, pp. 283-292, 2014.
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B
D. W. Berry
and
Childs, A. M.
,
“
Black-box Hamiltonian simulation and unitary implementation
”
, 2009.
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