Publications

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A. M. Childs, Leung, D. W., Verstraete, F., and Vidal, G., Asymptotic entanglement capacity of the Ising and anisotropic Heisenberg interactions , 2002.
A. M. Childs, Leung, D., Mancinska, L., and Ozols, M., Characterization of universal two-qubit Hamiltonians, 2010.
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 Kothari, R., Limitations on the simulation of non-sparse Hamiltonians, 2009.
A. M. Childs, Leng, J., Li, T., Liu, J. - P., and Zhang, C., Quantum simulation of real-space dynamics, Quantum, vol. 6, p. 860, 2022.
A. M. Childs and Wang, D., Can graph properties have exponential quantum speedup?, 2020.
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 and Gosset, D., Levinson's theorem for graphs II, Journal of Mathematical Physics, vol. 53, no. 10, p. 102207, 2012.
A. M. Childs, Farhi, E., Goldstone, J., and Gutmann, S., Finding cliques by quantum adiabatic evolution, 2000.
A. M. Childs, Universal computation by quantum walk, Physical Review Letters, vol. 102, no. 18, 2009.
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 Kothari, R., Simulating sparse Hamiltonians with star decompositions, 2010.
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, 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 and van Dam, W., Quantum algorithms for algebraic problems, Reviews of Modern Physics, vol. 82, no. 1, pp. 1 - 52, 2010.
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 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, 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, 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, Secure assisted quantum computation, 2001.
A. M. Childs and Goldstone, J., Spatial search and the Dirac equation, Physical Review A, vol. 70, no. 4, 2004.
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, Kimmel, S., and Kothari, R., The quantum query complexity of read-many formulas, Lecture Notes in Computer Science, vol. 7501, pp. 337-348, 2012.