Local Lower Bounds on Characteristics of Quantum and Classical Systems

被引：0
作者：
Shirokov M.E. [1 ]
机构：
[1] Steklov Mathematical Institute of the Russian Academy of Sciences, Moscow
来源：
Lobachevskii Journal of Mathematics | 2023年 / 44卷 / 6期
关键词：
locally almost affine function; lower semicontinuous function; probability distribution; quantum channel; quantum state; Shannon entropy; von Neumann entropy;
D O I：
10.1134/S1995080223060422
中图分类号：
学科分类号：
摘要：
Abstract: We consider methods for obtaining local lower bounds on characteristics of quantum (resp. classical) systems, i.e., lower bounds valid in the trace norm ε-neighborhood of a given state (resp. probability distribution). Our basic tool is the quasi-classical modification of the Alicki–Fannes–Winter technique which gives faithful one-side continuity bounds with the rank/energy constraint imposed on only one of the two quantum states (resp. probability distributions). We also propose a new universal method that allows us to obtain easy computable faithful local lower bounds on many important characteristics of quantum (resp. classical) systems. The main attention is paid to infinite-dimensional systems. © 2023, Pleiades Publishing, Ltd.
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页码：2169 / 2191
页数：22
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