Publications

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J. Chen, Guo, C., Ji, Z., Poon, Y. - T., Yu, N., Zeng, B., and Zhou, J., Joint product numerical range and geometry of reduced density matrices, 2016.
Y. - A. Chen and Tata, S., Higher cup products on hypercubic lattices: application to lattice models of topological phases, 2021.
J. Chen, Ji, Z., Wei, Z., and Zeng, B., Correlations in excited states of local Hamiltonians, Physical Review A, vol. 85, no. 4, 2012.
J. Chen, Johnston, N., Li, C. - K., and Plosker, S., Quantifying the coherence of pure quantum states, Physical Review A, vol. 94, no. 4, p. 042313, 2016.
J. Chen, Ji, Z., Yu, N., and Zeng, B., Detecting Consistency of Overlapping Quantum Marginals by Separability, Physical Review A, vol. 93, no. 3, p. 032105, 2016.
J. Chen, Ji, Z., Li, C. - K., Poon, Y. - T., Shen, Y., Yu, N., Zeng, B., and Zhou, D., Discontinuity of Maximum Entropy Inference and Quantum Phase Transitions, New Journal of Physics, vol. 17, no. 8, p. 083019, 2015.
J. Chen and Ying, M., Ancilla-Assisted Discrimination of Quantum Gates, 2008.
J. Chen, Chen, X., Duan, R., Ji, Z., and Zeng, B., No-go Theorem for One-way Quantum Computing on Naturally Occurring Two-level Systems , Physical Review A, vol. 83, no. 5, 2011.
J. Chen, Ji, Z., Klyachko, A., Kribs, D. W., and Zeng, B., Rank Reduction for the Local Consistency Problem, Journal of Mathematical Physics, vol. 53, no. 2, p. 022202, 2012.
G. Cheng and Swingle, B., Chaos in a quantum rotor model, 2019.
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., and Yamakawa, T., A Black-Box Approach to Post-Quantum Zero-Knowledge in Constant Rounds, 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, 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.
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.
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.
A. M. Childs, Leung, D. W., and Lo, H. - K., Two-way quantum communication channels, International Journal of Quantum Information, vol. 04, no. 01, pp. 63 - 83, 2006.
A. M. Childs, Kothari, R., Kovacs-Deak, M., Sundaram, A., and Wang, D., Quantum divide and conquer, 2022.
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, Hung, S. - H., and Li, T., Quantum Query Complexity with Matrix-Vector Products, 48th International Colloquium on Automata, Languages, and Programming (ICALP 2021), 2021.
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 Wiebe, N., Product Formulas for Exponentials of Commutators, Journal of Mathematical Physics, vol. 54, no. 6, p. 062202, 2013.
A. M. Childs, On the relationship between continuous- and discrete-time quantum walk, Communications in Mathematical Physics, vol. 294, no. 2, pp. 581 - 603, 2010.
A. M. Childs, Leung, D. W., and Vidal, G., Reversible simulation of bipartite product Hamiltonians, IEEE Transactions on Information Theory, vol. 50, no. 6, pp. 1189 - 1197, 2004.