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2020
S. Arunachalam, Belovs, A., Childs, A. M., Kothari, R., Rosmanis, A., and de Wolf, R., “Quantum Coupon Collector”, Proceedings of the 15th Conference on the Theory of Quantum Computation, Communication and Cryptography (TQC 2020), Leibniz International Proceedings in Informatics, vol. 158, pp. 10:1-10:17, 2020.
A. M. Childs and Liu, J. - P., “Quantum spectral methods for differential equations”, Commun. Math. Phys. , vol. 375, pp. 1427-1457, 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.
A. M. Childs and Wang, D., “Can graph properties have exponential quantum speedup?”, 2020.
2019
A. M. Childs and Su, Y., “Nearly optimal lattice simulation by product formulas”, Phys. Rev. Lett. , vol. 123, no. 050503, 2019.
A. M. Childs, Ostrander, A., and Su, Y., “Faster quantum simulation by randomization”, Quantum , vol. 3, no. 182, 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, Schoute, E., and Unsal, C. M., “Circuit Transformations for Quantum Architectures”, Proceedings of TQC 2019, LIPIcs, vol. 135 , no. 3, 2019.
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.
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.
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.
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.
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 and Li, T., “Efficient simulation of sparse Markovian quantum dynamics”, Quantum Information and Computation, vol. 17, pp. 901-947, 2017.
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.
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, 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.
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.
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.
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.
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.
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, 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. 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 and Ivanyos, G., “Quantum computation of discrete logarithms in semigroups”, Journal of Mathematical Cryptology, vol. 8, no. 4, 2014.