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A. M. Childs, Hung, S. - H., and Li, T., “Quantum Query Complexity with Matrix-Vector Products”, 48th International Colloquium on Automata, Languages, and Programming (ICALP 2021), 2021.
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, Leung, D., Mancinska, L., and Ozols, M., “Characterization of universal two-qubit Hamiltonians”, 2010.
A. M. Childs, Leung, D. W., Verstraete, F., and Vidal, G., “Asymptotic entanglement capacity of the Ising and anisotropic Heisenberg interactions ”, 2002.
A. M. Childs and Kothari, R., “Limitations on the simulation of non-sparse Hamiltonians”, 2009.
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 Gosset, D., “Levinson's theorem for graphs II”, Journal of Mathematical Physics, vol. 53, no. 10, p. 102207, 2012.
A. M. Childs, Farhi, E., Goldstone, J., and Gutmann, S., “Finding cliques by quantum adiabatic evolution”, 2000.
A. M. Childs, “Universal computation by quantum walk”, Physical Review Letters, vol. 102, no. 18, 2009.
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, Fu, H., Leung, D., Li, Z., Ozols, M., and Vyas, V., “Streaming quantum state purification”, 2023.
A. M. Childs and Kothari, R., “Simulating sparse Hamiltonians with star decompositions”, 2010.
A. M. Childs and Wang, D., “Can graph properties have exponential quantum speedup?”, 2020.
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, 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.
A. M. Childs, Harrow, A. W., and Wocjan, P., “Weak Fourier-Schur sampling, the hidden subgroup problem, and the quantum collision problem ”, 2006.
A. M. Childs, Farhi, E., and Preskill, J., “Robustness of adiabatic quantum computation”, Physical Review A, vol. 65, no. 1, 2001.
A. M. Childs and van Dam, W., “Quantum algorithms for algebraic problems”, Reviews of Modern Physics, vol. 82, no. 1, pp. 1 - 52, 2010.
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 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, 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, Preskill, J., and Renes, J., “Quantum information and precision measurement”, Journal of Modern Optics, vol. 47, no. 2-3, pp. 155 - 176, 2000.
A. M. Childs, “Secure assisted quantum computation”, 2001.
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, Leng, J., Li, T., Liu, J. - P., and Zhang, C., “Quantum simulation of real-space dynamics”, Quantum, vol. 6, p. 860, 2022.