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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.
A. M. Childs, Kothari, R., Kovacs-Deak, M., Sundaram, A., and Wang, D., Quantum divide and conquer, 2022.
A. M. Childs, Leung, D. W., and Vidal, G., Reversible simulation of bipartite product Hamiltonians, IEEE Transactions on Information Theory, vol. 50, no. 6, pp. 1189 - 1197, 2004.
A. M. Childs and Eisenberg, J. M., Quantum algorithms for subset finding, 2003.
A. M. Childs, Leung, D. W., and Nielsen, M. A., Unified derivations of measurement-based schemes for quantum computation, Physical Review A, vol. 71, no. 3, 2005.
A. M. Childs and Kothari, R., Simulating sparse Hamiltonians with star decompositions, 2010.
A. M. Childs, Cleve, R., Deotto, E., Farhi, E., Gutmann, S., and Spielman, D. A., Exponential algorithmic speedup by quantum walk, 2002.
A. M. Childs and Ge, Y., Spatial search by continuous-time quantum walks on crystal lattices, Physical Review A, vol. 89, no. 5, 2014.
A. M. Childs, Su, Y., Tran, M. C., Wiebe, N., and Zhu, S., Theory of Trotter Error with Commutator Scaling, Phys. Rev. X, vol. 11, no. 1, p. 49, 2021.
A. M. Childs, Fu, H., Leung, D., Li, Z., Ozols, M., and Vyas, V., Streaming quantum state purification, 2023.
A. M. Childs and Chuang, I. L., Universal quantum computation with two-level trapped ions, Physical Review A, vol. 63, no. 1, 2000.
A. M. Childs, Kothari, R., Ozols, M., and Roetteler, M., Easy and hard functions for the Boolean hidden shift problem, Proceedings of TQC 2013, vol. 22, pp. 50-79, 2013.
A. M. Childs and Lee, T., Optimal quantum adversary lower bounds for ordered search, 2007.
A. M. Childs, Reichardt, B. W., Spalek, R., and Zhang, S., Every NAND formula of size N can be evaluated in time N^1/2+o(1) on a quantum computer , 2007.
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.
A. M. Childs, Ostrander, A., and Su, Y., Faster quantum simulation by randomization, Quantum , vol. 3, no. 182, 2019.
A. M. Childs, Hung, S. - H., and Li, T., Quantum query complexity with matrix-vector products, Proceedings of the 48th International Colloquium on Automata, Languages, and Programming (ICALP 2021), Leibniz International Proceedings in Informatics, vol. 198, pp. 55:1-55:19, 2021.
A. M. Childs, Farhi, E., Goldstone, J., and Gutmann, S., Finding cliques by quantum adiabatic evolution, 2000.