An optimized version of the Alicki-Fannes-Winter technique yields strictly tighter semicontinuity and continuity bounds for several quantum and classical information characteristics.
Local lower bounds on characteristics of quantum and classical systems
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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 $\epsilon$-neighborhood of a given state (correspondingly, probability distribution). The main attention is paid to infinite-dimensional systems.
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quant-ph 1years
2025 1verdicts
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The Alicki-Fannes-Winter technique in the quasi-classical settings: advanced version and its applications
An optimized version of the Alicki-Fannes-Winter technique yields strictly tighter semicontinuity and continuity bounds for several quantum and classical information characteristics.