Publications

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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.
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.
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., Kribs, D., Lütkenhaus, N., and Zeng, B., Symmetric Extension of Two-Qubit States, Physical Review A, vol. 90, no. 3, 2014.
J. Chen, Ji, Z., Ruskai, M. Beth, Zeng, B., and Zhou, D., Principle of Maximum Entropy and Ground Spaces of Local Hamiltonians, 2010.
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.
Y. - A. Chen and Tata, S., Higher cup products on hypercubic lattices: application to lattice models of topological phases, 2021.
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.
G. Cheng and Swingle, B., Chaos in a quantum rotor model, 2019.
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, 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, Chou, C. - N., Zhang, J., and Zhang, R., Quantum Meets the Minimum Circuit Size Problem, 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.
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, Deotto, E., Farhi, E., Goldstone, J., Gutmann, S., and Landahl, A. J., Quantum search by measurement, Physical Review A, vol. 66, no. 3, 2002.
A. M. Childs and Chuang, I. L., Universal quantum computation with two-level trapped ions, Physical Review A, vol. 63, no. 1, 2000.
A. M. Childs and Wocjan, P., On the quantum hardness of solving isomorphism problems as nonabelian hidden shift problems , 2005.
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, Hung, S. - H., and Li, T., Quantum query complexity with matrix-vector products, Proceedings of the 48th International Colloquium on Automata, Languages, and Programming (ICALP 2021), Leibniz International Proceedings in Informatics, vol. 198, pp. 55:1-55:19, 2021.
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, Schulman, L. J., and Vazirani, U. V., Quantum algorithms for hidden nonlinear structures, 2007.
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.