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., 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, Chen, L., and Zeng, B., Unextendible Product Basis for Fermionic Systems, Journal of Mathematical Physics, vol. 55, no. 8, p. 082207, 2014.
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, 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.
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, 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.
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, 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.
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, Cleve, R., Jordan, S. P., and Yeung, D., Discrete-query quantum algorithm for NAND trees, Theory of Computing, vol. 5, no. 1, pp. 119 - 123, 2009.
A. M. Childs, Kimmel, S., and Kothari, R., The quantum query complexity of read-many formulas, Lecture Notes in Computer Science, vol. 7501, pp. 337-348, 2012.
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, Cleve, R., Deotto, E., Farhi, E., Gutmann, S., and Spielman, D. A., Exponential algorithmic speedup by quantum walk, 2002.
A. M. Childs and Ivanyos, G., Quantum computation of discrete logarithms in semigroups, Journal of Mathematical Cryptology, vol. 8, no. 4, 2014.
A. M. Childs, Farhi, E., and Gutmann, S., An example of the difference between quantum and classical random walks, Quantum Information Processing, vol. 1, no. 1/2, pp. 35 - 43, 2001.
A. M. Childs and Su, Y., Nearly optimal lattice simulation by product formulas, Phys. Rev. Lett. , vol. 123, no. 050503, 2019.
A. M. Childs and Lee, T., Optimal quantum adversary lower bounds for ordered search, 2007.