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2013
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.
2014
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 and Ivanyos, G., “Quantum computation of discrete logarithms in semigroups”, Journal of Mathematical Cryptology, vol. 8, no. 4, 2014.
D. W. Berry, Childs, A. M., Cleve, R., Kothari, R., and Somma, R. D., “Exponential improvement in precision for simulating sparse Hamiltonians”, Proceedings of the 46th ACM Symposium on Theory of Computing (STOC 2014), pp. 283-292, 2014.
A. M. Childs, Gosset, D., and Webb, Z., “The Bose-Hubbard model is QMA-complete”, Proceedings of the 41st International Colloquium on Automata, Languages, and Programming (ICALP 2014), vol. 8572, pp. 308-319, 2014.
D. J. Brod and Childs, A. M., “The computational power of matchgates and the XY interaction on arbitrary graphs”, Quantum Information and Computation, vol. 14, no. 11-12, pp. 901-916, 2014.
A. M. Childs and Ge, Y., “Spatial search by continuous-time quantum walks on crystal lattices”, Physical Review A, vol. 89, no. 5, 2014.
2015
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.
D. W. Berry, Childs, A. M., Cleve, R., Kothari, R., and Somma, R. D., “Simulating Hamiltonian dynamics with a truncated Taylor series”, Physical Review Letters, vol. 114, no. 9, p. 090502, 2015.
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.
2016
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 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, 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.
2017
A. M. Childs and Li, T., “Efficient simulation of sparse Markovian quantum dynamics”, Quantum Information and Computation, vol. 17, pp. 901-947, 2017.
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.
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.
2018
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.
Y. Nam, Ross, N. J., Su, Y., Childs, A. M., and Maslov, D., “Automated optimization of large quantum circuits with continuous parameters”, npj:Quantum Information, vol. 4, no. 23, 2018.
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.
2019
A. M. Childs, Schoute, E., and Unsal, C. M., “Circuit Transformations for Quantum Architectures”, Proceedings of TQC 2019, LIPIcs, vol. 135 , no. 3, 2019.
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, Ostrander, A., and Su, Y., “Faster quantum simulation by randomization”, Quantum , vol. 3, no. 182, 2019.
A. M. Childs and Su, Y., “Nearly optimal lattice simulation by product formulas”, Phys. Rev. Lett. , vol. 123, no. 050503, 2019.
2020
A. M. Childs and Wang, D., “Can graph properties have exponential quantum speedup?”, 2020.
S. Chakrabarti, Childs, A. M., Li, T., and Wu, X., “Quantum algorithms and lower bounds for convex optimization”, Quantum, vol. 4, no. 221, 2020.