Publications

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A. M. Childs and Young, J., Optimal state discrimination and unstructured search in nonlinear quantum mechanics, Physical Review A, vol. 93, no. 2, p. 022314, 2016.
A. M. Childs, Leung, D., Mancinska, L., and Ozols, M., A framework for bounding nonlocality of state discrimination, Communications in Mathematical Physics, vol. 323, no. 3, pp. 1121 - 1153, 2013.
A. M. Childs and Eisenberg, J. M., Quantum algorithms for subset finding, 2003.
A. M. Childs, Landahl, A. J., and Parrilo, P. A., Improved quantum algorithms for the ordered search problem via semidefinite programming , Physical Review A, vol. 75, no. 3, 2007.
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, 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 and Chuang, I. L., Universal quantum computation with two-level trapped ions, Physical Review A, vol. 63, no. 1, 2000.
A. M. Childs, Ostrander, A., and Su, Y., Faster quantum simulation by randomization, 2018.
A. M. Childs, Patterson, R. B., and MacKay, D. J. C., Exact sampling from non-attractive distributions using summary states, Physical Review E, vol. 63, no. 3, 2001.
A. M. Childs and Wocjan, P., On the quantum hardness of solving isomorphism problems as nonabelian hidden shift problems , 2005.
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, Schulman, L. J., and Vazirani, U. V., Quantum algorithms for hidden nonlinear structures, 2007.
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, Kothari, R., and Somma, R. D., Quantum algorithm for systems of linear equations with exponentially improved dependence on precision, SIAM Journal on Computing, vol. 46, no. 6, pp. 1920-1950, 2017.
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 and Wiebe, N., Product Formulas for Exponentials of Commutators, Journal of Mathematical Physics, vol. 54, no. 6, p. 062202, 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 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.
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, van Dam, W., Hung, S. - H., and Shparlinski, I. E., Optimal quantum algorithm for polynomial interpolation, 43rd International Colloquium on Automata, Languages, and Programming (ICALP 2016), vol. 55, p. 16:1--16:13, 2016.
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, Leung, D., Mancinska, L., and Ozols, M., Characterization of universal two-qubit Hamiltonians, 2010.