Exponential Relative Entropy Decay Along Quantum Markov Semigroups
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866916811440652288 |
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| author | Wirth, Melchior |
| author_facet | Wirth, Melchior |
| contents | We establish the equivalence between exponential decay of the relative entropy along a quantum Markov semigroup and the modified logarithmic Sobolev inequality for general von Neumann algebras. We also extend an intertwining criterion for the modified logarithmic Sobolev inequality to GNS-symmetric quantum Markov semigroups on infinite-dimensional von Neumann algebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_07549 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Exponential Relative Entropy Decay Along Quantum Markov Semigroups Wirth, Melchior Operator Algebras Mathematical Physics Quantum Physics We establish the equivalence between exponential decay of the relative entropy along a quantum Markov semigroup and the modified logarithmic Sobolev inequality for general von Neumann algebras. We also extend an intertwining criterion for the modified logarithmic Sobolev inequality to GNS-symmetric quantum Markov semigroups on infinite-dimensional von Neumann algebras. |
| title | Exponential Relative Entropy Decay Along Quantum Markov Semigroups |
| topic | Operator Algebras Mathematical Physics Quantum Physics |
| url | https://arxiv.org/abs/2505.07549 |