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arXiv · 2512.04245

An elementary approach to Wehrl-type entropy bounds in quantitative form

Fabio Nicola·Federico Riccardi·Paolo Tilli
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Abstract

We consider the problem of the stability (with sharp exponent) of the Lieb--Solovej inequality for symmetric $SU(N)$ coherent states, which was obtained only recently by the authors. Here, we propose an elementary proof of this result, based on reformulating the Wehrl-type entropy as a function defined on the unit sphere in $\mathbb{C}^d$, for some suitable $d$, and on some explicit (and somewhat surprising) computations.

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Fabio Nicola, Federico Riccardi, Paolo Tilli. 2025-12-03. An elementary approach to Wehrl-type entropy bounds in quantitative form. https://arxiv.org/abs/2512.04245

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