Dually flat structures induced from monotone metrics on a two-level quantum state space
Dually flat structures induced from monotone metrics on a two-level quantum state space
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DOI：
10.1140/epjp/s13360-020-00877-9
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发表时间：
2020-10
期刊：
影响因子：
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通讯作者：
A. Fujiwara
中科院分区：
文献类型：
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作者：
A. Fujiwara
对偶平坦度的概念在信息几何中至关重要。然而，除了 Bogoliubov 度量承认量子态空间上的全局双平面结构外，人们对量子统计流形上的双平面结构知之甚少。在本文中，我们证明了二能级量子态空间上的每个单调度量都承认局部双平面结构。
The notion of dually flatness is of central importance in information geometry. Nevertheless, little is known about dually flat structures on quantum statistical manifolds except that the Bogoliubov metric admits a global dually flat structure on a quantum state spacefor any. In this paper, we show that every monotone metric on a two-level quantum state spaceadmits a local dually flat structure.