An elementary approach to Wehrl-type entropy bounds in quantitative form
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866914179574661120 |
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| author | Nicola, Fabio Riccardi, Federico Tilli, Paolo |
| author_facet | Nicola, Fabio Riccardi, Federico Tilli, Paolo |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2512_04245 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | An elementary approach to Wehrl-type entropy bounds in quantitative form Nicola, Fabio Riccardi, Federico Tilli, Paolo Mathematical Physics Functional Analysis Quantum Physics 81R30, 22E70, 30H20, 32A10, 47N50, 49J40 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. |
| title | An elementary approach to Wehrl-type entropy bounds in quantitative form |
| topic | Mathematical Physics Functional Analysis Quantum Physics 81R30, 22E70, 30H20, 32A10, 47N50, 49J40 |
| url | https://arxiv.org/abs/2512.04245 |