Publications

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S. - K. Chu, Ma, C. - T., and Wu, C. - H., Two-Dimensional Dilaton Gravity Theory and Lattice Schwarzian Theory, 2018.
A. Chotia, Neyenhuis, B., Moses, S. A., Yan, B., Covey, J. P., Foss-Feig, M., Rey, A. Maria, Jin, D. S., and Ye, J., Long-lived dipolar molecules and Feshbach molecules in a 3D optical lattice , Physical Review Letters, vol. 108, no. 8, 2012.
E. Chitambar, Miller, C., and Shi, Y., Deciding Unitary Equivalence Between Matrix Polynomials and Sets of Bipartite Quantum States, Quantum Information and Computation, vol. 11, no. 9-10, pp. 813–819, 2011.
E. Chitambar, Miller, C., and Shi, Y., Matrix pencils and entanglement classification, Journal of Mathematical Physics, vol. 51, no. 7, p. 072205, 2010.
C. Chin, Vuletic, V., Kerman, A. J., Chu, S., Tiesinga, E., Leo, P. J., and Williams, C. J., Ultracold Cs$_2$ Feshbach Spectroscopy, 2003.
C. Chin, Grimm, R., Julienne, P., and Tiesinga, E., Feshbach Resonances in Ultracold Gases, Reviews of Modern Physics, vol. 82, no. 2, pp. 1225 - 1286, 2010.
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, Kothari, R., and Somma, R. D., Quantum algorithm for systems of linear equations with exponentially improved dependence on precision, SIAM Journal on Computing, vol. 46, no. 6, pp. 1920-1950, 2017.
A. M. Childs, Universal computation by quantum walk, Physical Review Letters, vol. 102, no. 18, 2009.
A. M. Childs, Farhi, E., Goldstone, J., and Gutmann, S., Finding cliques by quantum adiabatic evolution, 2000.
A. M. Childs, Liu, J. - P., and Ostrander, A., High-precision quantum algorithms for partial differential equations, Quantum 5, 574, vol. 5, no. 574, 2021.
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 Liu, J. - P., Quantum spectral methods for differential equations, Commun. Math. Phys. , vol. 375, pp. 1427-1457, 2020.
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, 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 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, Schoute, E., and Unsal, C. M., Circuit Transformations for Quantum Architectures, Proceedings of TQC 2019, LIPIcs, vol. 135 , no. 3, 2019.
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, Secure assisted quantum computation, 2001.