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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.
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.
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.
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.
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.
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.
A. M. Childs, Farhi, E., Goldstone, J., and Gutmann, S., “Finding cliques by quantum adiabatic evolution”, 2000.
A. M. Childs, Ostrander, A., and Su, Y., “Faster quantum simulation by randomization”, Quantum , vol. 3, no. 182, 2019.
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.
A. M. Childs, Cleve, R., Deotto, E., Farhi, E., Gutmann, S., and Spielman, D. A., “Exponential algorithmic speedup by quantum walk”, 2002.
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.
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.
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.
Q. Zhao, Zhou, Y., and Childs, A. M., “Entanglement accelerates quantum simulation”, 2024.
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.
A. M. Childs and Li, T., “Efficient simulation of sparse Markovian quantum dynamics”, Quantum Information and Computation, vol. 17, pp. 901-947, 2017.
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.
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.
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.
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.
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.
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.
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.
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.
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.