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Andrew M. Childs
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Q. Zhao
,
Zhou, Y.
,
Shaw, A. F.
,
Li, T.
, and
Childs, A. M.
,
“
Hamiltonian simulation with random inputs
”
,
Phys. Rev. Lett. 129, 270502
, vol. 129, no. 270502, 2022.
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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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A. M. Childs
and
Wiebe, N.
,
“
Hamiltonian Simulation Using Linear Combinations of Unitary Operations
”
,
Quantum Information and Computation
, vol. 12, no. 11-12, pp. 901-924, 2012.
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F
D. Bacon
,
Childs, A. M.
, and
van Dam, W.
,
“
From optimal measurement to efficient quantum algorithms for the hidden subgroup problem over semidirect product groups
”
, 2005.
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A. M. Childs
,
Leung, D.
,
Mancinska, L.
, and
Ozols, M.
,
“
A framework for bounding nonlocality of state discrimination
”
,
Communications in Mathematical Physics
, vol. 323, no. 3, pp. 1121 - 1153, 2013.
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A. M. Childs
,
Farhi, E.
,
Goldstone, J.
, and
Gutmann, S.
,
“
Finding cliques by quantum adiabatic evolution
”
, 2000.
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A. M. Childs
,
Ostrander, A.
, and
Su, Y.
,
“
Faster quantum simulation by randomization
”
,
Quantum
, vol. 3, no. 182, 2019.
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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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A. M. Childs
,
Cleve, R.
,
Deotto, E.
,
Farhi, E.
,
Gutmann, S.
, and
Spielman, D. A.
,
“
Exponential algorithmic speedup by quantum walk
”
, 2002.
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A. M. Childs
,
Farhi, E.
, and
Gutmann, S.
,
“
An example of the difference between quantum and classical random walks
”
,
Quantum Information Processing
, vol. 1, no. 1/2, pp. 35 - 43, 2001.
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A. M. Childs
,
Patterson, R. B.
, and
MacKay, D. J. C.
,
“
Exact sampling from non-attractive distributions using summary states
”
,
Physical Review E
, vol. 63, no. 3, 2001.
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A. M. Childs
,
Reichardt, B. W.
,
Spalek, R.
, and
Zhang, S.
,
“
Every NAND formula of size N can be evaluated in time N^1/2+o(1) on a quantum computer
”
, 2007.
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Q. Zhao
,
Zhou, Y.
, and
Childs, A. M.
,
“
Entanglement accelerates quantum simulation
”
, 2024.
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Z. Liu
,
Devulapalli, D.
,
Hangleiter, D.
,
Liu, Y. - K.
,
Kollár, A. J.
,
Gorshkov, A. V.
, and
Childs, A. M.
,
“
Efficiently verifiable quantum advantage on near-term analog quantum simulators
”
, 2024.
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A. M. Childs
and
Li, T.
,
“
Efficient simulation of sparse Markovian quantum dynamics
”
,
Quantum Information and Computation
, vol. 17, pp. 901-947, 2017.
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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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Y. - A. Chen
,
Childs, A. M.
,
Hafezi, M.
,
Jiang, Z.
,
Kim, H.
, and
Xu, Y.
,
“
Efficient Product Formulas for Commutators and Applications to Quantum Simulation
”
,
Physical Review Research
, vol. 4, 2022.
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J. Lukas Bosse
,
Childs, A. M.
,
Derby, C.
,
Gambetta, F. Maria
,
Montanaro, A.
, and
Santos, R. A.
,
“
Efficient and practical Hamiltonian simulation from time-dependent product formulas
”
, 2024.
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A. M. Childs
,
Kothari, R.
,
Ozols, M.
, and
Roetteler, M.
,
“
Easy and hard functions for the Boolean hidden shift problem
”
,
Proceedings of TQC 2013
, vol. 22, pp. 50-79, 2013.
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D
A. M. Childs
,
Cleve, R.
,
Jordan, S. P.
, and
Yeung, D.
,
“
Discrete-query quantum algorithm for NAND trees
”
,
Theory of Computing
, vol. 5, no. 1, pp. 119 - 123, 2009.
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M. C. Tran
,
Chu, S. - K.
,
Su, Y.
,
Childs, A. M.
, and
Gorshkov, A. V.
,
“
Destructive Error Interference in Product-Formula Lattice Simulation
”
,
Phys. Rev. Lett.
, vol. 124, no. 220502, 2020.
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C
A. M. Childs
,
Jao, D.
, and
Soukharev, V.
,
“
Constructing elliptic curve isogenies in quantum subexponential time
”
,
Journal of Mathematical Cryptology
, vol. 8, no. 1, pp. 1 - 29, 2014.
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D. J. Brod
and
Childs, A. M.
,
“
The computational power of matchgates and the XY interaction on arbitrary graphs
”
,
Quantum Information and Computation
, vol. 14, no. 11-12, pp. 901-916, 2014.
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A. M. Childs
,
Gosset, D.
, and
Webb, Z.
,
“
Complexity of the XY antiferromagnet at fixed magnetization
”
,
Quantum Information and Computation
, vol. 16, no. 1-2, pp. 1-18, 2016.
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A. M. Childs
,
Schoute, E.
, and
Unsal, C. M.
,
“
Circuit Transformations for Quantum Architectures
”
,
Proceedings of TQC 2019, LIPIcs
, vol. 135 , no. 3, 2019.
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