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

2025/12/03 by Fabio Nicola, Federico Riccardi, Nicola, Fabio +3
Mathematics · Physics and Astronomy · #22E70 #30H20 #32A10 #47N50 #49J40 #81R30 #FOS: Mathematics #FOS: Physical sciences #Functional Analysis (math.FA) #Mathematical Physics (math-ph) #Quantum Physics (quant-ph)

paper · doi:10.48550/arxiv.2512.04245

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 ℂ^d, for some suitable d, and on some explicit (and somewhat surprising) computations.

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