Dual Block Gradient Ascent for Entropically Regularised Quantum Optimal Transport
Mathematical Physics
2025-03-25 v1 Numerical Analysis
math.MP
Numerical Analysis
Optimization and Control
Probability
Abstract
We present a block gradient ascent method for solving the quantum optimal transport problem with entropic regularisation similar to the algorithm proposed in [D. Feliciangeli, A. Gerolin, L. Portinale: J. Funct. Anal. 285 (2023), no. 4, 109963] and [E. Caputo, A. Gerolin, N. Monina, L. Portinale: arXiv:2409.03698]. We prove a linear convergence rate based on strong concavity of the dual functional and present some results of numerical experiments of an implementation.
Cite
@article{arxiv.2503.17590,
title = {Dual Block Gradient Ascent for Entropically Regularised Quantum Optimal Transport},
author = {Marvin Randig and Max von Renesse},
journal= {arXiv preprint arXiv:2503.17590},
year = {2025}
}
Comments
10 pages, 6 figures