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, 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, 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 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, 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, 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 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 and Gosset, D.,
“Levinson's theorem for graphs II”,
Journal of Mathematical Physics, vol. 53, no. 10, p. 102207, 2012.
A. M. Childs,
“Universal computation by quantum walk”,
Physical Review Letters, vol. 102, no. 18, 2009.