论文标题
热肿瘤多层及其归化性
The Thermomajorization Polytope and Its Degeneracies
论文作者
论文摘要
从运输理论中汲取灵感，在这项工作中，我们介绍了“结构良好”和“稳定”吉布斯状态的概念，我们通过热操作研究了它们对量子热力学及其资源理论方法的影响。事实证明，在准经典领域中，只有当Gibbs状态稳定时，全局循环状态转移是不可能的。此外，使用几何方法通过研究所谓的热量缩影多层，我们证明，平衡中的任何子空间都可以通过热作战从平衡中带出。有趣的是，假设系统的吉布斯状态结构良好，则可以通过热瘤多层的堕落极端点来见证某些子系统处于平衡状态的情况。这些物理上的考虑是通过简单的新结构以及多层的极端点以及重要类别的极端吉布斯 - 故事矩阵的简单新结构的补充。
Drawing inspiration from transportation theory, in this work we introduce the notions of "well-structured" and "stable" Gibbs states and we investigate their implications for quantum thermodynamics and its resource theory approach via thermal operations. It turns out that, in the quasi-classical realm, global cyclic state transfers are impossible if and only if the Gibbs state is stable. Moreover, using a geometric approach by studying the so-called thermomajorization polytope we prove that any subspace in equilibrium can be brought out of equilibrium via thermal operations. Interestingly, the case of some subsystem being in equilibrium can be witnessed via degenerate extreme points of the thermomajorization polytope, assuming the Gibbs state of the system is well structured. These physical considerations are complemented by simple new constructions for the polytope's extreme points as well as for an important class of extremal Gibbs-stochastic matrices.
