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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, Hung, S. - H., and Li, T., “Quantum Query Complexity with Matrix-Vector Products”, 48th International Colloquium on Automata, Languages, and Programming (ICALP 2021), 2021.
A. M. Childs, Preskill, J., and Renes, J., “Quantum information and precision measurement”, Journal of Modern Optics, vol. 47, no. 2-3, pp. 155 - 176, 2000.
A. M. Childs, Leung, D. W., Verstraete, F., and Vidal, G., “Asymptotic entanglement capacity of the Ising and anisotropic Heisenberg interactions ”, 2002.
A. M. Childs, Chuang, I. L., and Leung, D. W., “Realization of quantum process tomography in NMR”, Physical Review A, vol. 64, no. 1, 2001.
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.
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 and Liu, J. - P., “Quantum spectral methods for differential equations”, Commun. Math. Phys. , vol. 375, pp. 1427-1457, 2020.
A. M. Childs and Ivanyos, G., “Quantum computation of discrete logarithms in semigroups”, Journal of Mathematical Cryptology, vol. 8, no. 4, 2014.
A. M. Childs, Leng, J., Li, T., Liu, J. - P., and Zhang, C., “Quantum simulation of real-space dynamics”, Quantum, vol. 6, p. 860, 2022.
A. M. Childs, “Universal computation by quantum walk”, Physical Review Letters, vol. 102, no. 18, 2009.
A. M. Childs, Leung, D., Mancinska, L., and Ozols, M., “Characterization of universal two-qubit Hamiltonians”, 2010.
A. M. Childs and van Dam, W., “Quantum algorithm for a generalized hidden shift problem”, 2005.
A. M. Childs, Landahl, A. J., and Parrilo, P. A., “Improved quantum algorithms for the ordered search problem via semidefinite programming ”, Physical Review A, vol. 75, no. 3, 2007.
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, Liu, J. - P., and Ostrander, A., “High-precision quantum algorithms for partial differential equations”, Quantum 5, 574, vol. 5, no. 574, 2021.
A. M. Childs and Young, J., “Optimal state discrimination and unstructured search in nonlinear quantum mechanics”, Physical Review A, vol. 93, no. 2, p. 022314, 2016.
A. M. Childs, Farhi, E., and Preskill, J., “Robustness of adiabatic quantum computation”, Physical Review A, vol. 65, no. 1, 2001.
A. M. Childs, Patterson, R. B., and MacKay, D. J. C., “Exact sampling from non-attractive distributions using summary states”, Physical Review E, vol. 63, no. 3, 2001.
A. M. Childs and Kothari, R., “Limitations on the simulation of non-sparse Hamiltonians”, 2009.
A. M. Childs, Jeffery, S., Kothari, R., and Magniez, F., “A Time-Efficient Quantum Walk for 3-Distinctness Using Nested Updates”, 2013.
A. M. Childs and Su, Y., “Nearly optimal lattice simulation by product formulas”, Phys. Rev. Lett. , vol. 123, no. 050503, 2019.
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, 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.