论文标题
冯·诺伊曼熵的功能表征
A functorial characterization of von Neumann entropy
论文作者
论文摘要
使用凸面振动，我们将von Neumann熵表征为有限维的非惯性概率空间和国家保护的 * - 肌形态到实数的函数。我们的公理繁殖了贝兹，弗里茨和伦斯特的公理，这些公理表征了香农熵差异。经典概率空间的分解存在在我们的表征中起着至关重要的作用。
Using convex Grothendieck fibrations, we characterize the von Neumann entropy as a functor from finite-dimensional non-commutative probability spaces and state-preserving *-homomorphisms to real numbers. Our axioms reproduce those of Baez, Fritz, and Leinster characterizing the Shannon entropy difference. The existence of disintegrations for classical probability spaces plays a crucial role in our characterization.
