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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, Jeffery, S., Kothari, R., and Magniez, F., “A Time-Efficient Quantum Walk for 3-Distinctness Using Nested Updates”, 2013.
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 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, 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, Fu, H., Leung, D., Li, Z., Ozols, M., and Vyas, V., “Streaming quantum state purification”, 2023.
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 Wang, D., “Can graph properties have exponential quantum speedup?”, 2020.
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, 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, 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 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, 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 and Li, T., “Efficient simulation of sparse Markovian quantum dynamics”, Quantum Information and Computation, vol. 17, pp. 901-947, 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, “On the relationship between continuous- and discrete-time quantum walk”, Communications in Mathematical Physics, vol. 294, no. 2, pp. 581 - 603, 2010.