Publications

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A. M. Childs, Farhi, E., Goldstone, J., and Gutmann, S., Finding cliques by quantum adiabatic evolution, 2000.
A. M. Childs, Leung, D., Mancinska, L., and Ozols, M., Interpolatability distinguishes LOCC from separable von Neumann measurements, Journal of Mathematical Physics, vol. 54, no. 11, p. 112204, 2013.
A. M. Childs and Su, Y., Nearly optimal lattice simulation by product formulas, Phys. Rev. Lett. , vol. 123, no. 050503, 2019.
A. M. Childs, Reichardt, B. W., Spalek, R., and Zhang, S., Every NAND formula of size N can be evaluated in time N^1/2+o(1) on a quantum computer , 2007.
A. M. Childs and Li, T., Efficient simulation of sparse Markovian quantum dynamics, Quantum Information and Computation, vol. 17, pp. 901-947, 2017.
A. M. Childs and Kothari, R., Simulating sparse Hamiltonians with star decompositions, 2010.
A. M. Childs, Gosset, D., and Webb, Z., The Bose-Hubbard model is QMA-complete, Proceedings of the 41st International Colloquium on Automata, Languages, and Programming (ICALP 2014), vol. 8572, pp. 308-319, 2014.
A. M. Childs, Farhi, E., and Preskill, J., Robustness of adiabatic quantum computation, Physical Review A, vol. 65, no. 1, 2001.
A. M. Childs, Harrow, A. W., and Wocjan, P., Weak Fourier-Schur sampling, the hidden subgroup problem, and the quantum collision problem , 2006.
A. M. Childs, Haselgrove, H. L., and Nielsen, M. A., Lower bounds on the complexity of simulating quantum gates, Physical Review A, vol. 68, no. 5, 2003.
A. M. Childs, Li, T., Liu, J. - P., Wang, C., and Zhang, R., Quantum Algorithms for Sampling Log-Concave Distributions and Estimating Normalizing Constants, Advances in Neural Information Processing Systems (NeurIPS 2022), vol. 35, no. 23205, 2022.
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, Gosset, D., Nagaj, D., Raha, M., and Webb, Z., Momentum switches, Quantum Information and Computation, vol. 15, no. 7-8, pp. 601-621, 2015.
A. M. Childs and Wiebe, N., Hamiltonian Simulation Using Linear Combinations of Unitary Operations, Quantum Information and Computation, vol. 12, no. 11-12, pp. 901-924, 2012.
A. M. Childs, Coudron, M., and Gilani, A. Shiraz, Quantum Algorithms and the Power of Forgetting, 14th Innovations in Theoretical Computer Science Conference (ITCS 2023), vol. 251, p. 37:1--37:22, 2023.
A. M. Childs, Secure assisted quantum computation, 2001.
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. M. Childs, Kothari, R., Ozols, M., and Roetteler, M., Easy and hard functions for the Boolean hidden shift problem, Proceedings of TQC 2013, vol. 22, pp. 50-79, 2013.
A. M. Childs and Goldstone, J., Spatial search and the Dirac equation, Physical Review A, vol. 70, no. 4, 2004.
A. M. Childs and Wang, D., Can graph properties have exponential quantum speedup?, 2020.
A. M. Childs, Cleve, R., Jordan, S. P., and Yeung, D., Discrete-query quantum algorithm for NAND trees, Theory of Computing, vol. 5, no. 1, pp. 119 - 123, 2009.
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, Cleve, R., Deotto, E., Farhi, E., Gutmann, S., and Spielman, D. A., Exponential algorithmic speedup by quantum walk, 2002.
A. M. Childs and Ivanyos, G., Quantum computation of discrete logarithms in semigroups, Journal of Mathematical Cryptology, vol. 8, no. 4, 2014.
A. M. Childs, Kothari, R., Kovacs-Deak, M., Sundaram, A., and Wang, D., Quantum divide and conquer, 2022.