We consider methods of 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：我们考虑在量子(相应、古典)系统特征上获得本地下限的方法,即,在特定状态的追踪规范$\ epsilon$-neighbority(相应、概率分布)中有效的下限。主要关注的是无限维系。