论文标题
关于D-Majorization和Thermo-Majorization的两个建设性证明
Two constructive proofs on d-majorization and thermo-majorization
论文作者
论文摘要
提供了两个关于D-Majorization和Thermo-Majorization的建设性证明。在第一部分中，我们提出了d-majorization与适当随机矩阵的存在之间的等效性的示意证明。我们使用图形参数明确构建所需的随机矩阵。在第二部分中，我们提供了一个建设性的证明，证明了吉布斯（Gibbs）保存图与经典系统中的热操作之间的等效性。我们构建所需的热操作和热浴，以任意准确性模拟任何具有Gibbs的地图。
Two constructive proofs on d-majorization and thermo-majorization are provided. In the first part, we present a diagrammatic proof of the equivalence between d-majorization and the existence of a proper stochastic matrix. We explicitly construct the desired stochastic matrix by using a graphical argument. In the second part, we present a constructive proof of the equivalence between the Gibbs-preserving map and thermal operation in classical systems. We construct the desired thermal operation and a heat bath which emulates any Gibbs-preserving map with an arbitrary accuracy.
