We consider methods for obtaining local lower bounds on characteristics of quantum (correspondingly, classical) systems, i.e. lower bounds valid in the trace norm $\epsilon$-neighborhood of a given state (correspondingly, probability distribution). The main attention is paid to infinite-dimensional systems.

翻译：我们研究了量子（相应地，经典）系统特性的局部下界获取方法，即在给定状态（相应地，概率分布）的迹范数$\epsilon$邻域内有效的下界。主要关注无限维系统。