论文标题
贝叶斯回顾的波动定理
Fluctuation theorems from Bayesian retrodiction
论文作者
论文摘要
统计力学中不可逆性的定量研究通常涉及对反向过程的考虑，其定义是许多讨论的对象，特别是对于量子力学系统。在这里，我们表明，反向通道自然而然地源于古典和量子理论中的贝叶斯改编。以前的范式结果，例如Jarzynski的平等，Crooks的波动定理以及Tasaki的封闭驱动量子系统的两次计算定理，都与回顾性论点保持一致。同样，引入了用于处理非平衡稳态或开放量子系统的各种校正是基于贝叶斯回顾的一般理由。更普遍的是，随着反向过程在一致的逻辑推理上构建，波动关系获得了更广泛的形式和范围。
Quantitative studies of irreversibility in statistical mechanics often involve the consideration of a reverse process, whose definition has been the object of many discussions, in particular for quantum mechanical systems. Here we show that the reverse channel very naturally arises from Bayesian retrodiction, both in classical and quantum theories. Previous paradigmatic results, such as Jarzynski's equality, Crooks' fluctuation theorem, and Tasaki's two-measurement fluctuation theorem for closed driven quantum systems, are all shown to be consistent with retrodictive arguments. Also, various corrections that were introduced to deal with nonequilibrium steady states or open quantum systems are justified on general grounds as remnants of Bayesian retrodiction. More generally, with the reverse process constructed on consistent logical inference, fluctuation relations acquire a much broader form and scope.
