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
A deterministic Kaczmarz algorithm for solving linear systems
SIAM Journal on Matrix Analysis
and Applications 44 (1), 212-239, 2023
arXiv:2105.07736
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
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
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
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
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
Computing Eigenvalues of Diagonalizable Matrices on a Quantum Computer
ACM Transactions on Quantum Computing 3 (4), NO 21, 1-20, 2022
arXiv:1912.08015
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
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
Data classification by quantum radial-basis-function networks
Physical Review A 102 (4), 042418, 2020
arXiv:1910.08798
Quantum regularized least squares solver with parameter estimate
with Hua Xiang
Quantum Information Processing, 19(4), 113, 2020
arXiv:1812.09934
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
Quantum speedup of Bayes’ classifiers
Journal
of Physics A: Mathematical and Theoretical 53 (4), 045301, 2020
Basis-free solution to general linear quaternionic equation
with Hongbo Li, Lei Huang
Linear
and Multilinear Algebra, 68:3, 435-457, 2020
A quantum model of feed-forward neural networks with unitary learning algorithms
Quantum Information Processing, 19(3), 102, 2020
Fast variational quantum algorithms for training neural networks and solving convex optimizations
Physics Review A, 99, 042325, 2019
Quantum speedup of training radial basis function networks
Quantum Information and Computation,
19(7&8), 609-625, 2019
Quantum algorithm design: techniques and applications
with Yang Li, Hongbo Li
Journal of Systems
Science and Complexity 32 (1), 375-452, 2019
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
Closed form of inverse Plucker correspondence in line geometry
with Lei Dong, Hongbo Li, Lei Huang
Science China Mathematics, 62(12), 2617-2630, 2019
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
Quantum circulant preconditioner for linear system of equations
with Hua Xiang
Physics Review A, 98, 062321, 2018
arXiv:1807.04563
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
Challenging theorem provers with mathematical olympiad problems in solid geometry
with Hongbo Li, Lei Huang
Mathematics in Computer Science, 10(1), 75-96, 2016
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
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