Papers

  1. Quantum communication complexity of linear regression
    with Ashley Montanaro
    presented at QIP 2023
    ACM Transactions on Computation Theory, 16 (1), Article NO.1, pp 1-30
    arXiv:2210.01601

  2. A deterministic Kaczmarz algorithm for solving linear systems
    SIAM Journal on Matrix Analysis and Applications 44 (1), 212-239, 2023
    arXiv:2105.07736

  3. A quantum algorithm for heat conduction with symmetrization
    with Shijie Wei, Chao Wei, Peng Lv, Pan Gao, Zengrong Zhou, Keren Li, Tao Xin, Guilu Long
    Science Bulletin, 68 (5), 494-502, 2023

  4. Quantum vs. classical algorithms for solving the heat equation
    with Noah Linden, Ashley Montanaro
    Communications in Mathematical Physics, 395 (2), 601-641, 2022
    arXiv:2004.06516

  5. Quantum algorithms for learning a hidden graph
    with Ashley Montanaro
    In 17th Conference on the Theory of Quantum Computation, Communication and Cryptography (TQC 2022), No. 1; pp. 1:1–1:22, 2022
    presented at QIP 2021
    arXiv:2011.08611

  6. Faster quantum-inspired algorithms for solving linear systems
    with Ashley Montanaro
    ACM Transactions on Quantum Computing 3 (4), NO 20, 1-23, 2022
    arXiv:2103.10309

  7. Solving generalized eigenvalue problems by ordinary differential equations on a quantum computer
    with Jin-Peng Liu
    Proceedings of the Royal Society A 478 (2262), 20210797, 2022
    arXiv:2010.15027

  8. Computing Eigenvalues of Diagonalizable Matrices on a Quantum Computer
    ACM Transactions on Quantum Computing 3 (4), NO 21, 1-20, 2022
    arXiv:1912.08015

  9. Quantum-accelerated multilevel Monte Carlo methods for stochastic differential equations in mathematical finance
    with Dong An, Noah Linden, Jin-Peng Liu, Ashley Montanaro, Jiasu Wang
    Quantum 5, 481, 2021
    arXiv:2012.06283

  10. An extended row and column method for solving linear systems on a quantum computer
    with Qian Zuo, Nianci Wu, Hua Xiang
    International Journal of Theoretical Physics, 60, 2592-2603, 2021

  11. Data classification by quantum radial-basis-function networks
    Physical Review A 102 (4), 042418, 2020
    arXiv:1910.08798

  12. Quantum regularized least squares solver with parameter estimate
    with Hua Xiang
    Quantum Information Processing, 19(4), 113, 2020
    arXiv:1812.09934

  13. Row and column iteration methods to solve linear systems on a quantum computer
    with Hua Xiang
    Physical Review A 101 (2), 022322, 2020
    arXiv:1905.11686

  14. Quantum speedup of Bayes’ classifiers
    Journal of Physics A: Mathematical and Theoretical 53 (4), 045301, 2020

  15. Basis-free solution to general linear quaternionic equation
    with Hongbo Li, Lei Huang
    Linear and Multilinear Algebra, 68:3, 435-457, 2020

  16. A quantum model of feed-forward neural networks with unitary learning algorithms
    Quantum Information Processing, 19(3), 102, 2020

  17. Fast variational quantum algorithms for training neural networks and solving convex optimizations
    Physics Review A, 99, 042325, 2019

  18. Quantum speedup of training radial basis function networks
    Quantum Information and Computation, 19(7&8), 609-625, 2019

  19. Quantum algorithm design: techniques and applications
    with Yang Li, Hongbo Li
    Journal of Systems Science and Complexity 32 (1), 375-452, 2019

  20. Building quantum neural networks based on swap test
    with Jian Zhao, Yuanhang Zhang, Yuchun Wu, Guangcan Guo, Guoping Guo
    Physics Review A, 100, 012334, 2019

  21. Closed form of inverse Plucker correspondence in line geometry
    with Lei Dong, Hongbo Li, Lei Huang
    Science China Mathematics, 62(12), 2617-2630, 2019

  22. Fast Straightening Algorithm for Bracket Polynomials Based on Tableau Manipulations
    with Hongbo Li
    In Proceedings of the 2018 ACM International Symposium on Symbolic and Algebraic Computation (ISSAC'18), pp. 367-374, 2018

  23. Quantum circulant preconditioner for linear system of equations
    with Hua Xiang
    Physics Review A, 98, 062321, 2018
    arXiv:1807.04563

  24. Matrices of SL(4;R) that are the product of two skew-symmetric matrices
    with Lei Dong, Lei Huang, Yong Wen
    Advances in Applied Clifford Algebras, 27, 475-489, 2017

  25. Challenging theorem provers with mathematical olympiad problems in solid geometry
    with Hongbo Li, Lei Huang
    Mathematics in Computer Science, 10(1), 75-96, 2016

  26. Elements of line geometry with geometric algebra
    with Hongbo Li, Lei Huang, Lei Dong
    In Proc. AGACSE'15, FIB, Barcelona, pp. 195-204, 2015
    Full version: arXiv:1507.06634
    This paper won the first David Hestenes Prize

  27. Reduction among bracket polynomials
    with Hongbo Li, Lei Huang, Yue Liu
    In Proceedings of the 2014 ACM International Symposium on Symbolic and Algebraic Computation (ISSAC'14), pp. 304-311, 2014