Dual Block Gradient Ascent for Entropically Regularised Quantum Optimal Transport
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arXiv
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| Format: | Preprint |
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2025
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| author | Randig, Marvin von Renesse, Max |
| author_facet | Randig, Marvin von Renesse, Max |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2503_17590 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Dual Block Gradient Ascent for Entropically Regularised Quantum Optimal Transport Randig, Marvin von Renesse, Max Mathematical Physics Numerical Analysis Optimization and Control Probability 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. |
| title | Dual Block Gradient Ascent for Entropically Regularised Quantum Optimal Transport |
| topic | Mathematical Physics Numerical Analysis Optimization and Control Probability |
| url | https://arxiv.org/abs/2503.17590 |