Publications

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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. - A. Chen and Hsin, P. - S., Exactly Solvable Lattice Hamiltonians and Gravitational Anomalies, 2021.
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 Kothari, R., Quantum query complexity of minor-closed graph properties, Proc. 28th Symposium on Theoretical Aspects of Computer Science (STACS 2011), Leibniz International Proceedings in Informatics, vol. 9, pp. 661-672, 2011.
A. M. Childs and Ge, Y., Spatial search by continuous-time quantum walks on crystal lattices, Physical Review A, vol. 89, no. 5, 2014.
A. M. Childs, Leung, D., Mancinska, L., and Ozols, M., Characterization of universal two-qubit Hamiltonians, 2010.
A. M. Childs, Kothari, R., Kovacs-Deak, M., Sundaram, A., and Wang, D., Quantum divide and conquer, 2022.
A. M. Childs, Leung, D. W., Verstraete, F., and Vidal, G., Asymptotic entanglement capacity of the Ising and anisotropic Heisenberg interactions , 2002.
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, Leung, D. W., and Nielsen, M. A., Unified derivations of measurement-based schemes for quantum computation, Physical Review A, vol. 71, no. 3, 2005.