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Journal Article
N. Mueller, Carolan, J., Connelly, A., Davoudi, Z., Dumitrescu, E. F., and Yeter-Aydeniz, K., “Quantum computation of dynamical quantum phase transitions and entanglement tomography in a lattice gauge theory”, 2023.
A. M. Childs and Ivanyos, G., “Quantum computation of discrete logarithms in semigroups”, Journal of Mathematical Cryptology, vol. 8, no. 4, 2014.
S. Singh, C. Alderete, H., Balu, R., Monroe, C., Linke, N. M., and Chandrashekar, C. M., “Quantum circuits for the realization of equivalent forms of one-dimensional discrete-time quantum walks on near-term quantum hardware”, Physical Review A, vol. 104, 2021.
P. Richerme, Senko, C., Korenblit, S., Smith, J., Lee, A., Islam, R., Campbell, W. C., and Monroe, C., “Quantum Catalysis of Magnetic Phase Transitions in a Quantum Simulator”, Physical Review Letters, vol. 111, no. 10, 2013.
G. Pagano, Bapat, A., Becker, P., Collins, K. S., De, A., Hess, P. W., Kaplan, H. B., Kyprianidis, A., Tan, W. L., Baldwin, C. L., Brady, L. T., Deshpande, A., Liu, F., Jordan, S., Gorshkov, A. V., and Monroe, C., “Quantum Approximate Optimization with a Trapped-Ion Quantum Simulator”, 2019.
A. M. Childs and Eisenberg, J. M., “Quantum algorithms for subset finding”, 2003.
J. D. Watson, Bringewatt, J., Shaw, A. F., Childs, A. M., Gorshkov, A. V., and Davoudi, Z., “Quantum Algorithms for Simulating Nuclear Effective Field Theories”, 2023.
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, Schulman, L. J., and Vazirani, U. V., “Quantum algorithms for hidden nonlinear structures”, 2007.
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, 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, 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.
S. Chakrabarti, Childs, A. M., Li, T., and Wu, X., “Quantum algorithms and lower bounds for convex optimization”, Quantum, vol. 4, no. 221, 2020.
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, 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.
P. C. S. Costa, Jordan, S. P., and Ostrander, A., “Quantum Algorithm for Simulating the Wave Equation”, Phys. Rev. A , vol. 99 , no. 012323 , 2019.
J. Chen, Childs, A. M., and Hung, S. - H., “Quantum algorithm for multivariate polynomial interpolation”, Proceedings of The Royal Society A, vol. 474, no. 2209, 2018.
J. Chen, Childs, A. M., and Hung, S. - H., “Quantum algorithm for multivariate polynomial interpolation”, Proceedings of The Royal Society A, vol. 474, no. 2209, 2018.
D. An, Childs, A. M., and Lin, L., “Quantum algorithm for linear non-unitary dynamics with near-optimal dependence on all parameters”, 2023.
D. W. Berry, Childs, A. M., Ostrander, A., and Wang, G., “Quantum algorithm for linear differential equations with exponentially improved dependence on precision”, Communications in Mathematical Physics, vol. 356, no. 3, pp. 1057-1081, 2017.
S. Chakrabarti, Childs, A. M., Hung, S. - H., Li, T., Wang, C., and Wu, X., “Quantum algorithm for estimating volumes of convex bodies”, ACM Transactions on Quantum Computing, vol. 4, 2023.
S. Chakrabarti, Childs, A. M., Hung, S. - H., Li, T., Wang, C., and Wu, X., “Quantum algorithm for estimating volumes of convex bodies”, ACM Transactions on Quantum Computing, vol. 4, 2023.
A. M. Childs and van Dam, W., “Quantum algorithm for a generalized hidden shift problem”, 2005.
L. Li, Chang, L., Cleaveland, R., Zhu, M., and Wu, X., “The Quantum Abstract Machine”, 2024.
L. Li, Chang, L., Cleaveland, R., Zhu, M., and Wu, X., “The Quantum Abstract Machine”, 2024.