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A. M. Childs and Ivanyos, G., Quantum computation of discrete logarithms in semigroups, Journal of Mathematical Cryptology, vol. 8, no. 4, 2014.
A. M. Childs and Liu, J. - P., Quantum spectral methods for differential equations, Commun. Math. Phys. , vol. 375, pp. 1427-1457, 2020.
A. M. Childs, Leung, D., Mancinska, L., and Ozols, M., Characterization of universal two-qubit Hamiltonians, 2010.
A. M. Childs, Universal computation by quantum walk, Physical Review Letters, vol. 102, no. 18, 2009.
A. M. Childs and van Dam, W., Quantum algorithm for a generalized hidden shift problem, 2005.
A. M. Childs, Landahl, A. J., and Parrilo, P. A., Improved quantum algorithms for the ordered search problem via semidefinite programming , Physical Review A, vol. 75, no. 3, 2007.
A. M. Childs and Strouse, D. J., Levinson's theorem for graphs, Journal of Mathematical Physics, vol. 52, no. 8, p. 082102, 2011.
A. M. Childs, Kothari, R., and Somma, R. D., Quantum algorithm for systems of linear equations with exponentially improved dependence on precision, SIAM Journal on Computing, vol. 46, no. 6, pp. 1920-1950, 2017.
A. M. Childs and Young, J., Optimal state discrimination and unstructured search in nonlinear quantum mechanics, Physical Review A, vol. 93, no. 2, p. 022314, 2016.
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.
A. M. Childs, Farhi, E., and Preskill, J., Robustness of adiabatic quantum computation, Physical Review A, vol. 65, no. 1, 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 and Kothari, R., Limitations on the simulation of non-sparse Hamiltonians, 2009.
A. M. Childs, Jeffery, S., Kothari, R., and Magniez, F., A Time-Efficient Quantum Walk for 3-Distinctness Using Nested Updates, 2013.