Publications

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Journal Article
A. M. Childs, Schulman, L. J., and Vazirani, U. V., Quantum algorithms for hidden nonlinear structures, 2007.
A. M. Childs and Eisenberg, J. M., Quantum algorithms for subset finding, 2003.
A. M. Childs and Ivanyos, G., Quantum computation of discrete logarithms in semigroups, Journal of Mathematical Cryptology, vol. 8, no. 4, 2014.
S. Arunachalam, Belovs, A., Childs, A. M., Kothari, R., Rosmanis, A., and de Wolf, R., Quantum Coupon Collector, To appear in Proceedings of TQC 2020, 2020.
A. M. Childs and Wocjan, P., On the quantum hardness of solving isomorphism problems as nonabelian hidden shift problems , 2005.
A. M. Childs, Preskill, J., and Renes, J., Quantum information and precision measurement, Journal of Modern Optics, vol. 47, no. 2-3, pp. 155 - 176, 2000.
A. Ambainis, Childs, A. M., and Liu, Y. - K., Quantum property testing for bounded-degree graphs, Proc. RANDOM, pp. 365-376, 2010.
A. Ambainis, Childs, A. M., Le Gall, F., and Tani, S., The quantum query complexity of certification, 2009.
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, Kimmel, S., and Kothari, R., The quantum query complexity of read-many formulas, Lecture Notes in Computer Science, vol. 7501, pp. 337-348, 2012.
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 Liu, J. - P., Quantum spectral methods for differential equations, Commun. Math. Phys. , vol. 375, pp. 1427-1457, 2020.
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.
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, 2019.
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., A Theory of Trotter Error, 2019.
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.