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Q
A. M. Childs, Hung, S. - H., and Li, T., “Quantum query complexity with matrix-vector products”, Proceedings of the 48th International Colloquium on Automata, Languages, and Programming (ICALP 2021), Leibniz International Proceedings in Informatics, vol. 198, pp. 55:1-55:19, 2021.
A. Bapat, Childs, A. M., Gorshkov, A. V., King, S., Schoute, E., and Shastri, H., “Quantum routing with fast reversals”, Quantum, vol. 5, 2021.
D. Devulapalli, Schoute, E., Bapat, A., Childs, A. M., and Gorshkov, A. V., “Quantum routing with teleportation”, Physical Review Research, vol. 6, 2024.
A. M. Childs, Deotto, E., Farhi, E., Goldstone, J., Gutmann, S., and Landahl, A. J., “Quantum search by measurement”, Physical Review A, vol. 66, no. 3, 2002.
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.
A. M. Childs and Liu, J. - P., “Quantum spectral methods for differential equations”, Commun. Math. Phys. , vol. 375, pp. 1427-1457, 2020.
R
A. M. Childs, Chuang, I. L., and Leung, D. W., “Realization of quantum process tomography in NMR”, Physical Review A, vol. 64, no. 1, 2001.
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, Farhi, E., and Preskill, J., “Robustness of adiabatic quantum computation”, Physical Review A, vol. 65, no. 1, 2001.
S
A. M. Childs, “Secure assisted quantum computation”, 2001.
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.
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. M. Childs and Kothari, R., “Simulating sparse Hamiltonians with star decompositions”, 2010.
A. M. Childs and Goldstone, J., “Spatial search and the Dirac equation”, Physical Review A, vol. 70, no. 4, 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 by quantum walk”, Physical Review A, vol. 70, no. 2, 2004.
A. M. Childs, Fu, H., Leung, D., Li, Z., Ozols, M., and Vyas, V., “Streaming quantum state purification”, 2023.
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.
T
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.
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.
N. Berthusen, Devulapalli, D., Schoute, E., Childs, A. M., Gullans, M. J., Gorshkov, A. V., and Gottesman, D., “Toward a 2D Local Implementation of Quantum LDPC Codes”, 2024.
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. 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.