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A. M. Childs and Wiebe, N., “Product Formulas for Exponentials of Commutators”, Journal of Mathematical Physics, vol. 54, no. 6, p. 062202, 2013.
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, “On the relationship between continuous- and discrete-time quantum walk”, Communications in Mathematical Physics, vol. 294, no. 2, pp. 581 - 603, 2010.
A. M. Childs and Liu, J. - P., “Quantum spectral methods for differential equations”, Commun. Math. Phys. , vol. 375, pp. 1427-1457, 2020.
A. M. Childs and van Dam, W., “Quantum algorithm for a generalized hidden shift problem”, 2005.
A. M. Childs, Li, T., Liu, J. - P., Wang, C., and Zhang, R., “Quantum Algorithms for Sampling Log-Concave Distributions and Estimating Normalizing Constants”, Advances in Neural Information Processing Systems (NeurIPS 2022), vol. 35, no. 23205, 2022.
A. M. Childs and Kothari, R., “Quantum query complexity of minor-closed graph properties”, Proc. 28th Symposium on Theoretical Aspects of Computer Science (STACS 2011), Leibniz International Proceedings in Informatics, vol. 9, pp. 661-672, 2011.
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, Liu, J. - P., and Ostrander, A., “High-precision quantum algorithms for partial differential equations”, Quantum 5, 574, vol. 5, no. 574, 2021.
A. M. Childs, Coudron, M., and Gilani, A. Shiraz, “Quantum Algorithms and the Power of Forgetting”, 14th Innovations in Theoretical Computer Science Conference (ITCS 2023), vol. 251, p. 37:1--37:22, 2023.
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, Schoute, E., and Unsal, C. M., “Circuit Transformations for Quantum Architectures”, Proceedings of TQC 2019, LIPIcs, vol. 135 , no. 3, 2019.
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., “Limitations on the simulation of non-sparse Hamiltonians”, 2009.
A. M. Childs, Ostrander, A., and Su, Y., “Faster quantum simulation by randomization”, Quantum , vol. 3, no. 182, 2019.
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 and Su, Y., “Nearly optimal lattice simulation by product formulas”, Phys. Rev. Lett. , vol. 123, no. 050503, 2019.
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, Kothari, R., Kovacs-Deak, M., Sundaram, A., and Wang, D., “Quantum divide and conquer”, 2022.
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 Kothari, R., “Simulating sparse Hamiltonians with star decompositions”, 2010.
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.