可再现过程下宏观态的收敛
Convergence of macrostates under reproducible processes
摘要：
我表明，每当一个系统经历了一个可再生的宏观过程的宏观状态的相互兼容性，作为衡量他们的相对熵，减少。这扩展了第二定律，它只考虑普通熵，因此只考虑宏观态和一个特定参考态之间的可互换性（等分布）。无论过程是线性的还是非线性的，新的结果都是成立的。它的证明依赖于任意粗粒化下量子相对熵的单调性，即使是那些不能用完全正映射表示的粗粒化。
英文摘要：
I show that whenever a system undergoes a reproducible macroscopic process the mutual distinguishability of macrostates, as measured by their relative entropy, diminishes. This extends the second law which regards only ordinary entropies, and hence only the distinguishability between macrostates and one specific reference state (equidistribution). The new result holds regardless of whether the process is linear or nonlinear. Its proof hinges on the monotonicity of quantum relative entropy under arbitrary coarse grainings, even those that cannot be represented by completely positive maps.
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