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 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, 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.,
“Complexity of the XY antiferromagnet at fixed magnetization”,
Quantum Information and Computation, vol. 16, no. 1-2, pp. 1-18, 2016.
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, 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 and van Dam, W.,
“Quantum algorithms for algebraic problems”,
Reviews of Modern Physics, vol. 82, no. 1, pp. 1 - 52, 2010.
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, Maslov, D., Nam, Y., Ross, N. J., and Su, Y.,
“Toward the first quantum simulation with quantum speedup”,
Proceedings of the National Academy of Sciences, vol. 115 , pp. 9456-9461, 2018.
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, 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, Kothari, R., Ozols, M., and Roetteler, M.,
“Easy and hard functions for the Boolean hidden shift problem”,
Proceedings of TQC 2013, vol. 22, pp. 50-79, 2013.