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Journal Article

D. W. Berry, Childs, A. M., and Kothari, R., “Hamiltonian simulation with nearly optimal dependence on all parameters”, Proceedings of the 56th IEEE Symposium on Foundations of Computer Science, pp. 792-809, 2015.

A. M. Childs, Liu, J. - P., and Ostrander, A., “High-precision quantum algorithms for partial differential equations”, 2020.

A. Y. Guo, Deshpande, A., Chu, S. - K., Eldredge, Z., Bienias, P., Devulapalli, D., Su, Y., Childs, A. M., and Gorshkov, A. V., “Implementing a Fast Unbounded Quantum Fanout Gate Using Power-Law Interactions”, 2020.

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, 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 and Strouse, D. J., “Levinson's theorem for graphs”, Journal of Mathematical Physics, vol. 52, no. 8, p. 082102, 2011.

A. M. Childs and Gosset, D., “Levinson's theorem for graphs II”, Journal of Mathematical Physics, vol. 53, no. 10, p. 102207, 2012.

M. Aschbacher, Childs, A. M., and Wocjan, P., “The limitations of nice mutually unbiased bases”, Journal of Algebraic Combinatorics, vol. 25, no. 2, pp. 111 - 123, 2007.

A. M. Childs and Kothari, R., “Limitations on the simulation of non-sparse Hamiltonians”, 2009.

M. C. Tran, Guo, A. Y., Su, Y., Garrison, J. R., Eldredge, Z., Foss-Feig, M., Childs, A. M., and Gorshkov, A. V., “Locality and digital quantum simulation of power-law interactions”, Phys. Rev. X 9, 031006, vol. 9, no. 031006, 2019.

A. M. Childs, Haselgrove, H. L., and Nielsen, M. A., “Lower bounds on the complexity of simulating quantum gates”, Physical Review A, vol. 68, no. 5, 2003.

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 and Su, Y., “Nearly optimal lattice simulation by product formulas”, Phys. Rev. Lett. , vol. 123, no. 050503, 2019.

A. Bapat, Schoute, E., Gorshkov, A. V., and Childs, A. M., “Nearly optimal time-independent reversal of a spin chain”, 2020.

G. Alagic, Childs, A. M., Grilo, A. B., and Hung, S. - H., “Non-interactive classical verification of quantum computation”, To appear in the Proceedings of the Eighteenth Theory of Cryptography Conference (TCC 2020), 2020.

D. Bacon, Childs, A. M., and van Dam, W., “Optimal measurements for the dihedral hidden subgroup problem”, 2005.

A. M. Childs and Lee, T., “Optimal quantum adversary lower bounds for ordered search”, 2007.

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 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 and Wiebe, N., “Product Formulas for Exponentials of Commutators”, Journal of Mathematical Physics, vol. 54, no. 6, p. 062202, 2013.

A. M. Childs and van Dam, W., “Quantum algorithm for a generalized hidden shift problem”, 2005.

S. Chakrabarti, Childs, A. M., Hung, S. - H., Li, T., Wang, C., and Wu, X., “Quantum algorithm for estimating volumes of convex bodies”, 2019.

D. W. Berry, Childs, A. M., Ostrander, A., and Wang, G., “Quantum algorithm for linear differential equations with exponentially improved dependence on precision”, Communications in Mathematical Physics, vol. 356, no. 3, pp. 1057-1081, 2017.

J. Chen, Childs, A. M., and Hung, S. - H., “Quantum algorithm for multivariate polynomial interpolation”, Proceedings of The Royal Society A, vol. 474, no. 2209, 2018.

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.