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, 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 Gosset, D.,
“Levinson's theorem for graphs II”,
Journal of Mathematical Physics, vol. 53, no. 10, p. 102207, 2012.
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, 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,
“Universal computation by quantum walk”,
Physical Review Letters, vol. 102, no. 18, 2009.
A. M. Childs, Leung, D., Mancinska, L., and Ozols, M.,
“Interpolatability distinguishes LOCC from separable von Neumann measurements”,
Journal of Mathematical Physics, vol. 54, no. 11, p. 112204, 2013.
A. M. Childs, van Dam, W., Hung, S. - H., and Shparlinski, I. E.,
“Optimal quantum algorithm for polynomial interpolation”,
43rd International Colloquium on Automata, Languages, and Programming (ICALP 2016), vol. 55, p. 16:1--16:13, 2016.
A. M. Childs, Gosset, D., and Webb, Z.,
“The Bose-Hubbard model is QMA-complete”,
Proceedings of the 41st International Colloquium on Automata, Languages, and Programming (ICALP 2014), vol. 8572, pp. 308-319, 2014.
A. M. Childs and van Dam, W.,
“Quantum algorithms for algebraic problems”,
Reviews of Modern Physics, vol. 82, no. 1, pp. 1 - 52, 2010.