论文标题
数据处理使POVMS更加粗糙和观察性熵更大
Data processing makes POVMs coarser and observational entropies larger
论文作者
论文摘要
我们找到一个标准来比较POVM测量结果，并决定哪些标准可以从物理系统中提取更多信息，而POVMS始终提取更少的信息。该标准概括了先前对Coarser POVM的定义，并且是由于无法通过处理测量结果而获得信息的想法。通过观察熵或粗粒熵来量化测量无法提取的信息。充分的是，更粗糙的测量值具有更大的观察性熵。此外，我们提供的较粗的测量值的表征和特性允许直接得出有关观察熵的几个先前已知的结果。
We find a criterion to compare POVM measurements and decide which ones can extract more information from physical systems, with coarser POVMs always extracting less information. This criteria generalizes the previous definition of coarser POVM, and is motivated by the idea that information cannot be gained by processing the measurement outcomes. The information that a measurement cannot extract is quantified by observational entropy or coarse-grained entropy. Adequately, coarser measurements have larger observational entropies. Moreover, the characterization and properties of coarser measurements that we provide allow to straightforwardly derive several previously known results about observational entropy.
