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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.
A. M. Childs and Wocjan, P., On the quantum hardness of solving isomorphism problems as nonabelian hidden shift problems , 2005.
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.
A. M. Childs and Li, T., Efficient simulation of sparse Markovian quantum dynamics, Quantum Information and Computation, vol. 17, pp. 901-947, 2017.
A. M. Childs, Preskill, J., and Renes, J., Quantum information and precision measurement, Journal of Modern Optics, vol. 47, no. 2-3, pp. 155 - 176, 2000.
A. M. Childs, Hung, S. - H., and Li, T., Quantum query complexity with matrix-vector products, Proceedings of the 48th International Colloquium on Automata, Languages, and Programming (ICALP 2021), Leibniz International Proceedings in Informatics, vol. 198, pp. 55:1-55:19, 2021.
A. M. Childs, Chuang, I. L., and Leung, D. W., Realization of quantum process tomography in NMR, Physical Review A, vol. 64, no. 1, 2001.
A. M. Childs, Leung, D. W., Verstraete, F., and Vidal, G., Asymptotic entanglement capacity of the Ising and anisotropic Heisenberg interactions , 2002.
A. M. Childs, Gosset, D., Nagaj, D., Raha, M., and Webb, Z., Momentum switches, Quantum Information and Computation, vol. 15, no. 7-8, pp. 601-621, 2015.
A. M. Childs, Gosset, D., and Webb, Z., Universal computation by multi-particle quantum walk, Science, vol. 339, no. 6121, pp. 791 - 794, 2013.
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, 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 van Dam, W., Quantum algorithm for a generalized hidden shift problem, 2005.
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, Accepted for Publication in Quantum, 2020.
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, Farhi, E., and Preskill, J., Robustness of adiabatic quantum computation, Physical Review A, vol. 65, no. 1, 2001.
A. M. Childs, Jeffery, S., Kothari, R., and Magniez, F., A Time-Efficient Quantum Walk for 3-Distinctness Using Nested Updates, 2013.
A. M. Childs and Kothari, R., Limitations on the simulation of non-sparse Hamiltonians, 2009.
A. M. Childs and Wiebe, N., Product Formulas for Exponentials of Commutators, Journal of Mathematical Physics, vol. 54, no. 6, p. 062202, 2013.