Scholarlink

Abstract <p>We describe an advanced version of the AFW-technique proposed in [M. E. Shirokov, ‘‘Close-to-optimal continuity bound for the von Neumann entropy and other quasi-classical applications of the Alicki–Fannes–Winter technique’’, Lett. Math. Phys. <b>113</b>, 121 (2023); M. E. Shirokov, ‘‘Local lower bounds on characteristics of quantum and classical systems’’, Lobachevskii J. Math. <b>44</b>, 2169–2191 (2023)] which allows us to obtain lower semicontinuity bounds, continuity bounds and local lower bounds for characteristics of quantum systems and discrete random variables.</p> <p>We consider applications of the new version of the AFW-technique to several basic characteristics of quantum systems (the von Neumann entropy, the energy-type functionals, the quantum relative entropy, the conditional entropy and the entanglement of formation).</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

The Alicki–Fannes–Winter Technique in the Quasi-classical Settings: Advanced Version and Its Applications

  • 期刊论文

  • 发表日期：

    2025年6月1日

查看全文
  • M. E. Shirokov

摘要

Abstract

We describe an advanced version of the AFW-technique proposed in [M. E. Shirokov, ‘‘Close-to-optimal continuity bound for the von Neumann entropy and other quasi-classical applications of the Alicki–Fannes–Winter technique’’, Lett. Math. Phys. 113, 121 (2023); M. E. Shirokov, ‘‘Local lower bounds on characteristics of quantum and classical systems’’, Lobachevskii J. Math. 44, 2169–2191 (2023)] which allows us to obtain lower semicontinuity bounds, continuity bounds and local lower bounds for characteristics of quantum systems and discrete random variables.

We consider applications of the new version of the AFW-technique to several basic characteristics of quantum systems (the von Neumann entropy, the energy-type functionals, the quantum relative entropy, the conditional entropy and the entanglement of formation).