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A. M. Childs, Harrow, A. W., and Wocjan, P., “Weak Fourier-Schur sampling, the hidden subgroup problem, and the quantum collision problem ”, 2006.
U
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.
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.
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, “Universal computation by quantum walk”, Physical Review Letters, vol. 102, no. 18, 2009.
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, Leung, D. W., and Nielsen, M. A., “Unified derivations of measurement-based schemes for quantum computation”, Physical Review A, vol. 71, no. 3, 2005.
T
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. W. Young, Eckner, W. J., Schine, N., Childs, A. M., and Kaufman, A. M., “Tweezer-programmable 2D quantum walks in a Hubbard-regime lattice”, Science, vol. 377, no. 6608, pp. 885-889, 2022.
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, Jeffery, S., Kothari, R., and Magniez, F., “A Time-Efficient Quantum Walk for 3-Distinctness Using Nested Updates”, 2013.
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, 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.
S
S. Ben-David, Childs, A. M., Gilyen, A., Kretschmer, W., Podder, S., and Wang, D., “Symmetries, graph properties, and quantum speedups”, in Proceedings of the 61st IEEE Symposium on Foundations of Computer Science (FOCS 2020), pp. 649–660 (2020), 2020.
A. M. Childs, Fu, H., Leung, D., Li, Z., Ozols, M., and Vyas, V., “Streaming quantum state purification”, 2023.
A. M. Childs and Goldstone, J., “Spatial search by quantum walk”, Physical Review A, vol. 70, no. 2, 2004.
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 and Goldstone, J., “Spatial search and the Dirac equation”, Physical Review A, vol. 70, no. 4, 2004.
A. M. Childs and Kothari, R., “Simulating sparse Hamiltonians with star decompositions”, 2010.
D. W. Berry, Childs, A. M., Cleve, R., Kothari, R., and Somma, R. D., “Simulating Hamiltonian dynamics with a truncated Taylor series”, Physical Review Letters, vol. 114, no. 9, p. 090502, 2015.
A. Y. Guo, Tran, M. C., Childs, A. M., Gorshkov, A. V., and Gong, Z. - X., “Signaling and Scrambling with Strongly Long-Range Interactions”, Physical Review A, vol. 102, no. 010401(R), 2020.
A. M. Childs, “Secure assisted quantum computation”, 2001.
R
A. M. Childs, Farhi, E., and Preskill, J., “Robustness of adiabatic quantum computation”, Physical Review A, vol. 65, no. 1, 2001.
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.