Dual Block Gradient Ascent for Entropically Regularised Quantum Optimal Transport

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.

Publication Details

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ArXiv.org
Published
2025-03-21
Primary Topic
Numerical methods in inverse problems
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article
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article

Dual Block Gradient Ascent for Entropically Regularised Quantum Optimal Transport

ArXiv.org
Numerical methods in inverse problems
article

Dual Block Gradient Ascent for Entropically Regularised Quantum Optimal Transport

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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.

ArXiv.org
Openalex Percentile: Top 43%
Numerical methods in inverse problems
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Dual Block Gradient Ascent for Entropically Regularised Quantum Optimal Transport · ArXiv.org (2025) | TGRS Research Map | TGRS