lie algebra 1magnus expansion 1non-markovian dynamics 1quantum stochastic filtering 1time-varying linear equations 1
From the 1 of 3 linked papers with an AI index.
3 papers
quant-ph2026
A Lie-algebraic approach to non-Markovian quantum dynamics
Haijin Ding, Stephen S. -T. Yau, Zhiwen Zhang
The paper presents a Lie‑algebraic framework for modeling non‑Markovian quantum dynamics, using vectorized density matrices to obtain high‑dimensional linear time‑varying equations…
math.OC2024
Nonexistence of finite-dimensional estimation algebras on closed smooth manifolds
Jiayi Kang, Andrew Salmon, Stephen Shing-Toung Yau
Estimation algebras have been extensively studied in Euclidean space, where finite-dimensional estimation algebras form the foundation of the Kalman and Benes filters, and have con…
math.OC2024
On the Convergence Analysis of Yau-Yau Nonlinear Filtering Algorithm: from a Probabilistic Perspective
Zeju Sun, Xiuqiong Chen, Stephen S. -T. Yau
At the beginning of this century, a real time solution of the nonlinear filtering problem without memory was proposed in [1, 2] by the third author and his collaborator, and it is…