Journal Article
D. W. Berry, Childs, A. M., Ostrander, A., and Wang, G.,
“Quantum algorithm for linear differential equations with exponentially improved dependence on precision”,
Communications in Mathematical Physics, vol. 356, no. 3, pp. 1057-1081, 2017.
S. Chakrabarti, Childs, A. M., Hung, S. - H., Li, T., Wang, C., and Wu, X.,
“Quantum algorithm for estimating volumes of convex bodies”,
ACM Transactions on Quantum Computing, vol. 4, 2023.
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, 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.
G. Alagic, Childs, A. M., Grilo, A. B., and Hung, S. - H.,
“Non-interactive classical verification of quantum computation”,
Theory of Cryptography Conference (TCC), vol. Lecture Notes in Computer Science 12552, pp. 153-180, 2020.
A. M. Childs, Gosset, D., Nagaj, D., Raha, M., and Webb, Z.,
“Momentum switches”,
Quantum Information and Computation, vol. 15, no. 7-8, pp. 601-621, 2015.
M. C. Tran, Guo, A. Y., Su, Y., Garrison, J. R., Eldredge, Z., Foss-Feig, M., Childs, A. M., and Gorshkov, A. V.,
“Locality and digital quantum simulation of power-law interactions”,
Phys. Rev. X 9, 031006, vol. 9, no. 031006, 2019.
M. Aschbacher, Childs, A. M., and Wocjan, P.,
“The limitations of nice mutually unbiased bases”,
Journal of Algebraic Combinatorics, vol. 25, no. 2, pp. 111 - 123, 2007.
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 and Strouse, D. J.,
“Levinson's theorem for graphs”,
Journal of Mathematical Physics, vol. 52, no. 8, p. 082102, 2011.
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. Y. Guo, Deshpande, A., Chu, S. - K., Eldredge, Z., Bienias, P., Devulapalli, D., Su, Y., Childs, A. M., and Gorshkov, A. V.,
“Implementing a Fast Unbounded Quantum Fanout Gate Using Power-Law Interactions”,
Phys. Rev. Research, vol. 4, no. L042016, 2022.
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.
Q. Zhao, Zhou, Y., Shaw, A. F., Li, T., and Childs, A. M.,
“Hamiltonian simulation with random inputs”,
Phys. Rev. Lett. 129, 270502, vol. 129, no. 270502, 2022.