In these notes we will give an overview and road map for a definition and characterization of (relative) entropy for both classical and quantum systems. In other words, we will provide a consistent treatment of entropy which can be applied within the recently developed Orlicz space based approach to large systems. This means that the proposed approach successfully provides a refined framework for the treatment of entropy in each of classical statistical physics, Dirac's formalism of Quantum Mechanics, large systems of quantum statistical physics, and finally also for Quantum Field Theory.

中文翻译：

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一般量子系统的熵

在这些笔记中，我们将给出经典和量子系统（相对）熵的定义和表征的概述和路线图。换句话说，我们将提供一致的熵处理，它可以应用于最近开发的基于 Orlicz 空间的大型系统方法中。这意味着所提出的方法成功地为经典统计物理学、狄拉克的量子力学形式主义、量子统计物理学的大型系统以及最终的量子场论中的熵处理提供了一个完善的框架。