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F
A. M. Childs, Ostrander, A., and Su, Y., “Faster quantum simulation by randomization”, Quantum , vol. 3, no. 182, 2019.
A. M. Childs, Farhi, E., Goldstone, J., and Gutmann, S., “Finding cliques by quantum adiabatic evolution”, 2000.
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.
D. Bacon, Childs, A. M., and van Dam, W., “From optimal measurement to efficient quantum algorithms for the hidden subgroup problem over semidirect product groups ”, 2005.
H
A. M. Childs and Wiebe, N., “Hamiltonian Simulation Using Linear Combinations of Unitary Operations”, Quantum Information and Computation, vol. 12, no. 11-12, pp. 901-924, 2012.
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.
Q. Zhao, Zhou, Y., Shaw, A. F., Li, T., and Childs, A. M., “Hamiltonian simulation with random inputs”, Phys. Rev. Lett. 129, 270502, vol. 129, no. 270502, 2022.
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.
I
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”, Phys. Rev. Research, vol. 4, no. L042016, 2022.
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.
L
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.
M
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.
N
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”, accepted for publication in Physical Review Research, 2020.
G. Alagic, Childs, A. M., Grilo, A. B., and Hung, S. - H., “Non-interactive classical verification of quantum computation”, Theory of Cryptography Conference (TCC), vol. Lecture Notes in Computer Science 12552, pp. 153-180, 2020.
O
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.