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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 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, 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, Gosset, D., and Webb, Z., “Universal computation by multi-particle quantum walk”, Science, vol. 339, no. 6121, pp. 791 - 794, 2013.
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 and Liu, J. - P., “Quantum spectral methods for differential equations”, Commun. Math. Phys. , vol. 375, pp. 1427-1457, 2020.
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, 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, 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 Wocjan, P., “On the quantum hardness of solving isomorphism problems as nonabelian hidden shift problems ”, 2005.
A. M. Childs, Leng, J., Li, T., Liu, J. - P., and Zhang, C., “Quantum simulation of real-space dynamics”, Quantum, vol. 6, p. 860, 2022.
A. M. Childs, Schulman, L. J., and Vazirani, U. V., “Quantum algorithms for hidden nonlinear structures”, 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, Ostrander, A., and Su, Y., “Faster quantum simulation by randomization”, Quantum , vol. 3, no. 182, 2019.
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.
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, Hung, S. - H., and Li, T., “Quantum Query Complexity with Matrix-Vector Products”, 48th International Colloquium on Automata, Languages, and Programming (ICALP 2021), 2021.
A. M. Childs and Goldstone, J., “Spatial search by quantum walk”, Physical Review A, vol. 70, no. 2, 2004.
A. M. Childs, Leung, D. W., and Lo, H. - K., “Two-way quantum communication channels”, International Journal of Quantum Information, vol. 04, no. 01, pp. 63 - 83, 2006.
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 Wiebe, N., “Product Formulas for Exponentials of Commutators”, Journal of Mathematical Physics, vol. 54, no. 6, p. 062202, 2013.
A. M. Childs and Su, Y., “Nearly optimal lattice simulation by product formulas”, Phys. Rev. Lett. , vol. 123, no. 050503, 2019.
A. M. Childs, “On the relationship between continuous- and discrete-time quantum walk”, Communications in Mathematical Physics, vol. 294, no. 2, pp. 581 - 603, 2010.
A. M. Childs, Leung, D. W., and Vidal, G., “Reversible simulation of bipartite product Hamiltonians”, IEEE Transactions on Information Theory, vol. 50, no. 6, pp. 1189 - 1197, 2004.