62 citations · 281 across the 27 of their papers we have counts for
8 papers · 1 filter
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…
A Quantum Model for Multilayer Perceptron
Changpeng Shao
Multilayer perceptron is the most common used class of feed-forward artificial neural network. It contains many applications in diverse fields such as speech recognition, image rec…
From linear combination of quantum states to Grover's searching algorithm
Changpeng Shao
Linear combination of unitaries (LCU for short) is one of the most important techniques in designing quantum algorithms. In this paper, we propose a new quantum algorithm in three…
Quantum Arnoldi and conjugate gradient iteration algorithm
Changpeng Shao
Arnoldi method and conjugate gradient method are important classical iteration methods in solving linear systems and estimating eigenvalues. Their efficiency often affected by the…
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.…
Quantum Algorithm to Cubic Spline Interpolation
Changpeng Shao
HHL algorithm \cite{harrow} to solve linear system is a powerful and efficient quantum technique to deal with many matrix operations (such as matrix multiplication, powers and inve…
Reconsider HHL algorithm and its related quantum machine learning algorithms
Changpeng Shao
HHL quantum algorithm to solve linear systems is one of the most important subroutines in many quantum machine learning algorithms. In this work, we present and analyze several oth…
Quantum Algorithms to Matrix Multiplication
Changpeng Shao
In this paper, we study quantum algorithms of matrix multiplication from the viewpoint of inputting quantum/classical data to outputting quantum/classical data. The main target is…