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Journal Article
A. M. Childs and Li, T., Efficient simulation of sparse Markovian quantum dynamics, Quantum Information and Computation, vol. 17, pp. 901-947, 2017.
J. - P. Liu, Kolden, H. Øie, Krovi, H. K., Loureiro, N. F., Trivisa, K., and Childs, A. M., Efficient quantum algorithm for dissipative nonlinear differential equations, 2020.
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, 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.
M. C. Tran, Chu, S. - K., Su, Y., Childs, A. M., and Gorshkov, A. V., Destructive Error Interference in Product-Formula Lattice Simulation, Phys. Rev. Lett. , vol. 124, no. 220502, 2020.
A. M. Childs, Jao, D., and Soukharev, V., Constructing elliptic curve isogenies in quantum subexponential time, Journal of Mathematical Cryptology, vol. 8, no. 1, pp. 1 - 29, 2014.
D. J. Brod and Childs, A. M., The computational power of matchgates and the XY interaction on arbitrary graphs, Quantum Information and Computation, vol. 14, no. 11-12, pp. 901-916, 2014.
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, Schoute, E., and Unsal, C. M., Circuit Transformations for Quantum Architectures, Proceedings of TQC 2019, LIPIcs, vol. 135 , no. 3, 2019.
A. M. Childs, Leung, D., Mancinska, L., and Ozols, M., Characterization of universal two-qubit Hamiltonians, 2010.
A. M. Childs and Wang, D., Can graph properties have exponential quantum speedup?, 2020.
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.
D. W. Berry and Childs, A. M., Black-box Hamiltonian simulation and unitary implementation, 2009.
Y. Nam, Ross, N. J., Su, Y., Childs, A. M., and Maslov, D., Automated optimization of large quantum circuits with continuous parameters, npj:Quantum Information, vol. 4, no. 23, 2018.
A. M. Childs, Leung, D. W., Verstraete, F., and Vidal, G., Asymptotic entanglement capacity of the Ising and anisotropic Heisenberg interactions , 2002.
Conference Paper
S. Ben-David, Childs, A. M., Gilyen, A., Kretschmer, W., Podder, S., and Wang, D., Symmetries, graph properties, and quantum speedups, in Proceedings of the 61st IEEE Symposium on Foundations of Computer Science (FOCS 2020), pp. 649–660 (2020), 2020.