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The Alicki-Fannes-Winter technique in the quasi-classical settings: advanced version and its applications
May 01, 2025 Β· Declared Dead Β· π Lobachevskii Journal of Mathematics
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Authors
M. E. Shirokov
arXiv ID
2505.00882
Category
quant-ph: Quantum Computing
Cross-listed
cs.IT,
math-ph
Citations
1
Venue
Lobachevskii Journal of Mathematics
Last Checked
5 months ago
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).
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