Quantum Dynamical Entropy and Dissipative Information Flows
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866918401156317184 |
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| author | Nichele, Giovanni Benatti, Fabio |
| author_facet | Nichele, Giovanni Benatti, Fabio |
| contents | The Alicki-Lindblad-Fannes dynamical (ALF) entropy measures the rate at which new information is gathered about a quantum system by inspecting its long-time evolution. We propose an extension of the ALF entropy to open quantum dynamics as a measure of back-flow of information from the environment. Such a proposal is stronger than the existing ones based only on the open system reduced dynamics. In the case of a qubit collisionally coupled to a classical spin chain, we obtain an exact expression for the $\textit{open-system ALF entropy}$ explicitly depending on the environment correlations. An extreme case shows how the information flow from environment to system corresponds to vanishing entropy production as for reversible finite quantum systems. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2603_14025 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Quantum Dynamical Entropy and Dissipative Information Flows Nichele, Giovanni Benatti, Fabio Quantum Physics Mathematical Physics The Alicki-Lindblad-Fannes dynamical (ALF) entropy measures the rate at which new information is gathered about a quantum system by inspecting its long-time evolution. We propose an extension of the ALF entropy to open quantum dynamics as a measure of back-flow of information from the environment. Such a proposal is stronger than the existing ones based only on the open system reduced dynamics. In the case of a qubit collisionally coupled to a classical spin chain, we obtain an exact expression for the $\textit{open-system ALF entropy}$ explicitly depending on the environment correlations. An extreme case shows how the information flow from environment to system corresponds to vanishing entropy production as for reversible finite quantum systems. |
| title | Quantum Dynamical Entropy and Dissipative Information Flows |
| topic | Quantum Physics Mathematical Physics |
| url | https://arxiv.org/abs/2603.14025 |