Publications

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J. Chen, Ji, Z., Ruskai, M. Beth, Zeng, B., and Zhou, D., Principle of Maximum Entropy and Ground Spaces of Local Hamiltonians, 2010.
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.
L. Chen, Chen, J., Djokovic, D. Z., and Zeng, B., Universal Subspaces for Local Unitary Groups of Fermionic Systems, Communications in Mathematical Physics, vol. 333, no. 2, pp. 541 - 563, 2015.
J. Chen, Dawkins, H., Ji, Z., Johnston, N., Kribs, D., Shultz, F., and Zeng, B., Uniqueness of Quantum States Compatible with Given Measurement Results, Physical Review A, vol. 88, no. 1, 2013.
W. Chen, Beck, K. M., Bücker, R., Gullans, M., Lukin, M. D., Tanji-Suzuki, H., and Vuletic, V., All-Optical Switch and Transistor Gated by One Stored Photon, Science, vol. 341, no. 6147, pp. 768 - 770, 2013.
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, Chen, L., and Zeng, B., Unextendible Product Basis for Fermionic Systems, Journal of Mathematical Physics, vol. 55, no. 8, p. 082207, 2014.
J. Chen, Ji, Z., Kribs, D., Wei, Z., and Zeng, B., Ground-State Spaces of Frustration-Free Hamiltonians, Journal of Mathematical Physics, vol. 53, no. 10, p. 102201, 2012.
J. Chen and Johnston, N., The Minimum Size of Unextendible Product Bases in the Bipartite Case (and Some Multipartite Cases) , Communications in Mathematical Physics, vol. 333, no. 1, pp. 351 - 365, 2015.
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. 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, Patterson, R. B., and MacKay, D. J. C., Exact sampling from non-attractive distributions using summary states, Physical Review E, vol. 63, no. 3, 2001.
A. M. Childs and Wocjan, P., On the quantum hardness of solving isomorphism problems as nonabelian hidden shift problems , 2005.
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, Schulman, L. J., and Vazirani, U. V., Quantum algorithms for hidden nonlinear structures, 2007.
A. M. Childs and Strouse, D. J., Levinson's theorem for graphs, Journal of Mathematical Physics, vol. 52, no. 8, p. 082102, 2011.
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 and Goldstone, J., Spatial search by quantum walk, Physical Review A, vol. 70, no. 2, 2004.
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.