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A. M. Childs and Wocjan, P., “On the quantum hardness of solving isomorphism problems as nonabelian hidden shift problems ”, 2005.
A. M. Childs and Su, Y., “Nearly optimal lattice simulation by product formulas”, Phys. Rev. Lett. , vol. 123, no. 050503, 2019.
A. M. Childs, Schulman, L. J., and Vazirani, U. V., “Quantum algorithms for hidden nonlinear structures”, 2007.
A. M. Childs and Strouse, D. J., “Levinson's theorem for graphs”, Journal of Mathematical Physics, vol. 52, no. 8, p. 082102, 2011.
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 Goldstone, J., “Spatial search by quantum walk”, Physical Review A, vol. 70, no. 2, 2004.
A. M. Childs, Leung, D. W., and Lo, H. - K., “Two-way quantum communication channels”, International Journal of Quantum Information, vol. 04, no. 01, pp. 63 - 83, 2006.
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, Ostrander, A., and Su, Y., “Faster quantum simulation by randomization”, Quantum , vol. 3, no. 182, 2019.
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, “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, 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, 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 and Wang, D., “Can graph properties have exponential quantum speedup?”, 2020.
A. M. Childs and van Dam, W., “Quantum algorithm for a generalized hidden shift problem”, 2005.
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, Kothari, R., Kovacs-Deak, M., Sundaram, A., and Wang, D., “Quantum divide and conquer”, 2022.
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, Leung, D., Mancinska, L., and Ozols, M., “Characterization of universal two-qubit Hamiltonians”, 2010.
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, 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 and Gosset, D., “Levinson's theorem for graphs II”, Journal of Mathematical Physics, vol. 53, no. 10, p. 102207, 2012.