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S
A. M. Childs and Goldstone, J., “Spatial search by quantum walk”, Physical Review A, vol. 70, no. 2, 2004.
S. Ben-David, Childs, A. M., Gilyen, A., Kretschmer, W., Podder, S., and Wang, D., “Symmetries, graph properties, and quantum speedups”, To appear in Proceedings of the 61st Annual Symposium on Foundations of Computer Science (FOCS 2020), 2020.
T
A. M. Childs, Su, Y., Tran, M. C., Wiebe, N., and Zhu, S., “A Theory of Trotter Error”, To appear in Physical Review X, 2020.
D. W. Berry, Childs, A. M., Su, Y., Wang, X., and Wiebe, N., “Time-dependent Hamiltonian simulation with L1-norm scaling”, Quantum, vol. 4, no. 254, 2020.
A. M. Childs, Jeffery, S., Kothari, R., and Magniez, F., “A Time-Efficient Quantum Walk for 3-Distinctness Using Nested Updates”, 2013.
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, 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.
U
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, Gosset, D., and Webb, Z., “Universal computation by multi-particle quantum walk”, Science, vol. 339, no. 6121, pp. 791 - 794, 2013.
A. M. Childs, “Universal computation by quantum walk”, Physical Review Letters, vol. 102, no. 18, 2009.
A. M. Childs and Chuang, I. L., “Universal quantum computation with two-level trapped ions”, Physical Review A, vol. 63, no. 1, 2000.
M. A. Nielsen, Bremner, M. J., Dodd, J. L., Childs, A. M., and Dawson, C. M., “Universal simulation of Hamiltonian dynamics for qudits”, Physical Review A, vol. 66, no. 2, 2002.
D. Bacon, Childs, A. M., Chuang, I. L., Kempe, J., Leung, D. W., and Zhou, X., “Universal simulation of Markovian quantum dynamics”, Physical Review A, vol. 64, no. 6, 2001.
W
A. M. Childs, Harrow, A. W., and Wocjan, P., “Weak Fourier-Schur sampling, the hidden subgroup problem, and the quantum collision problem ”, 2006.