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A. M. Childs and Lee, T., Optimal quantum adversary lower bounds for ordered search, 2007.
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, 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, 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, Jeffery, S., Kothari, R., and Magniez, F., A Time-Efficient Quantum Walk for 3-Distinctness Using Nested Updates, 2013.
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, Ostrander, A., and Su, Y., Faster quantum simulation by randomization, Quantum , vol. 3, no. 182, 2019.
A. M. Childs, Li, T., Liu, J. - P., Wang, C., and Zhang, R., Quantum Algorithms for Sampling Log-Concave Distributions and Estimating Normalizing Constants, Advances in Neural Information Processing Systems (NeurIPS 2022), vol. 35, no. 23205, 2022.
A. M. Childs and Eisenberg, J. M., Quantum algorithms for subset finding, 2003.
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, 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 Liu, J. - P., Quantum spectral methods for differential equations, Commun. Math. Phys. , vol. 375, pp. 1427-1457, 2020.
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, 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, Coudron, M., and Gilani, A. Shiraz, Quantum Algorithms and the Power of Forgetting, 14th Innovations in Theoretical Computer Science Conference (ITCS 2023), vol. 251, p. 37:1--37:22, 2023.
A. M. Childs, Deotto, E., Farhi, E., Goldstone, J., Gutmann, S., and Landahl, A. J., Quantum search by measurement, Physical Review A, vol. 66, no. 3, 2002.
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 and Chuang, I. L., Universal quantum computation with two-level trapped ions, Physical Review A, vol. 63, no. 1, 2000.
A. M. Childs and Wocjan, P., On the quantum hardness of solving isomorphism problems as nonabelian hidden shift problems , 2005.
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 Strouse, D. J., Levinson's theorem for graphs, Journal of Mathematical Physics, vol. 52, no. 8, p. 082102, 2011.
A. M. Childs, Schoute, E., and Unsal, C. M., Circuit Transformations for Quantum Architectures, Proceedings of TQC 2019, LIPIcs, vol. 135 , no. 3, 2019.
A. M. Childs, Schulman, L. J., and Vazirani, U. V., Quantum algorithms for hidden nonlinear structures, 2007.
A. M. Childs, Maslov, D., Nam, Y., Ross, N. J., and Su, Y., Toward the first quantum simulation with quantum speedup, Proceedings of the National Academy of Sciences, vol. 115 , pp. 9456-9461, 2018.
A. M. Childs, Hung, S. - H., and Li, T., Quantum Query Complexity with Matrix-Vector Products, 48th International Colloquium on Automata, Languages, and Programming (ICALP 2021), 2021.