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Journal Article
S. Chakrabarti, Childs, A. M., Li, T., and Wu, X., “Quantum algorithms and lower bounds for convex optimization”, Quantum, vol. 4, no. 221, 2020.
A. M. Childs and van Dam, W., “Quantum algorithms for algebraic problems”, Reviews of Modern Physics, vol. 82, no. 1, pp. 1 - 52, 2010.
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”, Proceedings of the 15th Conference on the Theory of Quantum Computation, Communication and Cryptography (TQC 2020), Leibniz International Proceedings in Informatics, vol. 158, pp. 10:1-10:17, 2020.
D. Wang, You, X., Li, T., and Childs, A. M., “Quantum exploration algorithms for multi-armed bandits”, To appear in Proceedings of the 35th Conference on Artificial Intelligence (AAAI 2021), 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”, 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.