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, 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, 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 Strouse, D. J.,
“Levinson's theorem for graphs”,
Journal of Mathematical Physics, vol. 52, no. 8, p. 082102, 2011.
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, 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, 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, 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.