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arXiv · 2503.17590

Dual Block Gradient Ascent for Entropically Regularised Quantum Optimal Transport

Marvin Randig·Max von Renesse
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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.

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Marvin Randig, Max von Renesse. 2025-03-22. Dual Block Gradient Ascent for Entropically Regularised Quantum Optimal Transport. https://arxiv.org/abs/2503.17590

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