Publications

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Y. - A. Chen and Hsin, P. - S., Exactly Solvable Lattice Hamiltonians and Gravitational Anomalies, 2021.
J. Chen, Ji, Z., Ruskai, M. Beth, Zeng, B., and Zhou, D. - L., Comment on some results of Erdahl and the convex structure of reduced density matrices, Journal of Mathematical Physics, vol. 53, no. 7, p. 072203, 2012.
Y. - H. Chen, Chung, K. - M., Lai, C. - Y., Vadhan, S. P., and Wu, X., Computational Notions of Quantum Min-Entropy, 2017.
Y. - A. Chen, Childs, A. M., Hafezi, M., Jiang, Z., Kim, H., and Xu, Y., Efficient Product Formulas for Commutators and Applications to Quantum Simulation, Physical Review Research, vol. 4, 2022.
J. Chen, Duan, R., Ji, Z., Ying, M., and Yu, J., Existence of Universal Entangler, Journal of Mathematical Physics, vol. 49, no. 1, p. 012103, 2008.
J. Chen and Winter, A., Non-Additivity of the Entanglement of Purification (Beyond Reasonable Doubt) , 2012.
J. Chen, Ji, Z., Zeng, B., and Zhou, D. L., From Ground States to Local Hamiltonians, Physical Review A, vol. 86, no. 2, 2012.
J. Chen, Cubitt, T. S., Harrow, A. W., and Smith, G., Entanglement can completely defeat quantum noise, Physical Review Letters, vol. 107, no. 25, 2011.
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.
G. Cheng and Swingle, B., Chaos in a quantum rotor model, 2019.
N. - H. Chia, Li, T., Lin, H. - H., and Wang, C., Quantum-inspired classical sublinear-time algorithm for solving low-rank semidefinite programming via sampling approaches, 2019.
N. - H. Chia, Chou, C. - N., Zhang, J., and Zhang, R., Quantum Meets the Minimum Circuit Size Problem, 2021.
N. - H. Chia, Gilyen, A., Li, T., Lin, H. - H., Tang, E., and Wang, C., Sampling-based sublinear low-rank matrix arithmetic framework for dequantizing quantum machine learning, to appear in Proceedings of STOC 2020, 2020.
N. - H. Chia, Chung, K. - M., Liu, Q., and Yamakawa, T., On the Impossibility of Post-Quantum Black-Box Zero-Knowledge in Constant Rounds, 2021.
N. - H. Chia, Chung, K. - M., and Yamakawa, T., A Black-Box Approach to Post-Quantum Zero-Knowledge in Constant Rounds, 2020.
L. Childress, Taylor, J. M., Sorensen, A. S., and Lukin, M. D., Fault-tolerant Quantum Communication with Minimal Physical Requirements, Physical Review Letters, vol. 96, no. 7, 2006.
L. I. Childress, Taylor, J. M., Sorensen, A. S., and Lukin, M. D., Fault-tolerant quantum repeaters with minimal physical resources, and implementations based on single photon emitters, Physical Review A, vol. 72, no. 5, 2005.
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, Secure assisted quantum computation, 2001.
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, 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, Kothari, R., Kovacs-Deak, M., Sundaram, A., and Wang, D., Quantum divide and conquer, 2022.