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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, Jao, D., and Soukharev, V.,
“Constructing elliptic curve isogenies in quantum subexponential time”,
Journal of Mathematical Cryptology, vol. 8, no. 1, pp. 1 - 29, 2014.
A. M. Childs, Leung, D., Mancinska, L., and Ozols, M.,
“A framework for bounding nonlocality of state discrimination”,
Communications in Mathematical Physics, vol. 323, no. 3, pp. 1121 - 1153, 2013.
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, Deotto, E., Farhi, E., Goldstone, J., Gutmann, S., and Landahl, A. J.,
“Quantum search by measurement”,
Physical Review A, vol. 66, no. 3, 2002.
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 Strouse, D. J.,
“Levinson's theorem for graphs”,
Journal of Mathematical Physics, vol. 52, no. 8, p. 082102, 2011.
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, 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, Schoute, E., and Unsal, C. M.,
“Circuit Transformations for Quantum Architectures”,
Proceedings of TQC 2019, LIPIcs, vol. 135 , no. 3, 2019.
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, 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 and Wiebe, N.,
“Product Formulas for Exponentials of Commutators”,
Journal of Mathematical Physics, vol. 54, no. 6, p. 062202, 2013.