论文标题
一系列广义概率理论中的熵不确定性关系
Entropic Uncertainty Relations in a Class of Generalized Probabilistic Theories
论文作者
论文摘要
熵不确定性关系在量子理论的基本面和应用中都起着重要作用。尽管它们在量子理论中受到了很好的评价，但对广义概率理论（GPT）中的熵不确定性知之甚少。当前的研究探讨了一类GPT中的两种类型的熵不确定性关系，准备和测量不确定性关系，这些GPT可以被视为量子理论的概括。不仅是获得熵制备不确定性关系的方法，而且是Buscemi等人类似于量子的熵测量不确定性关系。 [物理。这些理论证明了Rev. Lett。，112，050401]。它表明量子理论中不确定性关系的熵结构更为普遍。还展示了我们在GPT中的关系的具体计算，称为常规多边形理论。
Entropic uncertainty relations play an important role in both fundamentals and applications of quantum theory. Although they have been well-investigated in quantum theory, little is known about entropic uncertainty in generalized probabilistic theories (GPTs). The current study explores two types of entropic uncertainty relations, preparation and measurement uncertainty relations, in a class of GPTs which can be considered generalizations of quantum theory. Not only a method for obtaining entropic preparation uncertainty relations but also an entropic measurement uncertainty relation similar to the quantum one by Buscemi et al. [Phys. Rev. Lett., 112, 050401] are proved in those theories. It manifests that the entropic structure of uncertainty relations in quantum theory is more universal. Concrete calculations of our relations in GPTs called the regular polygon theories are also demonstrated.
