3 papers
math.NA2025
Exact deflation for accurate SVD computation of nonnegative bidiagonal products of arbitrary rank
Rong Huang, Jungong Xue
Dealing with zero singular values can be quite challenging, as they have the potential to cause numerous numerical difficulties. This paper presents a method for computing the sing…
quant-ph2025
Products between block-encodings
Dekuan Dong, Yingzhou Li, Jungong Xue
Block-encoding is a standard framework for embedding matrices into unitary operators in quantum algorithms. Efficient implementation of products between block-encoded matrices is c…
quant-ph2025
A quantum algorithm for linear autonomous differential equations via Padé approximation
Dekuan Dong, Yingzhou Li, Jungong Xue
We propose a novel quantum algorithm for solving linear autonomous ordinary differential equations (ODEs) using the Padé approximation. For linear autonomous ODEs, the discretized…