A. M. Childs, Farhi, E., and Gutmann, S.,
“An example of the difference between quantum and classical random walks”,
Quantum Information Processing, vol. 1, no. 1/2, pp. 35 - 43, 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, 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, Su, Y., Tran, M. C., Wiebe, N., and Zhu, S.,
“Theory of Trotter Error with Commutator Scaling”,
Phys. Rev. X, vol. 11, no. 1, p. 49, 2021.
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 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.