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, 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 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, 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, 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 and Wiebe, N.,
“Product Formulas for Exponentials of Commutators”,
Journal of Mathematical Physics, vol. 54, no. 6, p. 062202, 2013.
A. M. Childs, Leung, D. W., and Vidal, G.,
“Reversible simulation of bipartite product Hamiltonians”,
IEEE Transactions on Information Theory, vol. 50, no. 6, pp. 1189 - 1197, 2004.
A. M. Childs and Kothari, R.,
“Quantum query complexity of minor-closed graph properties”,
Proc. 28th Symposium on Theoretical Aspects of Computer Science (STACS 2011), Leibniz International Proceedings in Informatics, vol. 9, pp. 661-672, 2011.
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.