The Alicki-Fannes-Winter technique in the quasi-classical settings: advanced version and its applications
Quantum Physics
2025-05-05 v1 Information Theory
Mathematical Physics
math.IT
math.MP
Abstract
We describe an advanced version of the AFW-technique proposed in [Lett. Math. Phys., 113, 121 (2023)],[Lobachevskii J. Math., 44(6), 2169 (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).
Keywords
Cite
@article{arxiv.2505.00882,
title = {The Alicki-Fannes-Winter technique in the quasi-classical settings: advanced version and its applications},
author = {M. E. Shirokov},
journal= {arXiv preprint arXiv:2505.00882},
year = {2025}
}
Comments
37 pages, any comments are welcome. arXiv admin note: text overlap with arXiv:2207.08791, arXiv:2210.11462