Quantum Dynamical Entropy and Dissipative Information Flows

• URL: http://arxiv.org/abs/2603.14025v2
• Date: Sat, 21 Mar 2026 22:25:57 GMT
• Title: Quantum Dynamical Entropy and Dissipative Information Flows
• Abstract summary: The Alicki-Lindblad-Fannes dynamical (ALF) entropy measures the rate at which new information is gathered about a quantum system.<n>We propose an extension of the ALF entropy to open quantum dynamics as a measure of back-flow of information from the environment.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: 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.

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