3 papers
math.NA2026
A multilevel stochastic-gradient neural solver for boundary integral equations
Bing-Ze Lu, Richard Tsai
We develop a multilevel stochastic-gradient neural solver for boundary integral equations of the second kind. The unknown density is represented by a multilayer perceptron, trained…
math.NA2025
Optimizing Mixed Quantum Channels via Projected Gradient Dynamics
Matthew M. Lin, Bing-Ze Lu
Designing a mixed quantum channel is challenging due to the complexity of the transformations and the probabilistic mixtures of more straightforward channels involved. Fully charac…
math.NA2025
An Iterative Methodology for Unitary Quantum Channel Search
Matthew M. Lin, Hao-Wei Huang, Bing-Ze Lu
In this paper, we propose an iterative algorithm using polar decomposition to approximate a channel characterized by a single unitary matrix based on input-output quantum state pai…