Publications

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Journal Article
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.
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, 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.
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, 2022.
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, 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.
A. M. Childs, Harrow, A. W., and Wocjan, P., Weak Fourier-Schur sampling, the hidden subgroup problem, and the quantum collision problem , 2006.