30 citations · 85 across the 15 of their papers we have counts for
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Quantum Regularized Least Squares Solver with Parameter Estimate
Changpeng Shao, Hua Xiang
In this paper we propose a quantum algorithm to determine the Tikhonov regularization parameter and solve the ill-conditioned linear equations, for example, arising from the finite…
Randomized QLP algorithm and error analysis
Nianci Wu, Hua Xiang
In this paper, we describe the randomized QLP (RQLP) algorithm and its enhanced version (ERQLP) for computing the low rank approximation to of size efficiently such…
Singular Values of Riemann Curvature Tensor
Xiaokai He, Hua Xiang
We introduce the concept of singular values for the Riemann curvature tensor, a central mathematical tool in Einstein's theory of general relativity. We study the properties relate…
Quantum Circulant Preconditioner for Linear System of Equations
Changpeng Shao, Hua Xiang
We consider the quantum linear solver for with the circulant preconditioner . The main technique is the singular value estimation (SVE) introduced in [I. Kerenidis and A.…
M-eigenvalues of The Riemann Curvature Tensor
Hua Xiang, Liqun Qi, Yimin Wei
The Riemann curvature tensor is a central mathematical tool in Einstein's theory of general relativity. Its related eigenproblem plays an important role in mathematics and physics.…