Local lower bounds on characteristics of quantum and classical systems

2022/10/20 by M. E. Shirokov, Shirokov, M. E. · 1 citation
Mathematics · #FOS: Computer and information sciences #FOS: Physical sciences #Graph theory and applications #Information Theory (cs.IT) #Mathematical Physics (math-ph) #Mathematical functions and polynomials #Quantum Physics (quant-ph) #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.2210.11462

openalex publication_date 2022/10/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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

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• The Alicki-Fannes-Winter technique in the quasi-classical settings: advanced version and its applications

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