Geodesic
On the Minimum of the Wehrl Entropy for a Locally Compact Abelian Group
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Noncommutative Analysis and Quantum Information Theory, Tome 324 (2024), pp. 95-100

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A construction of the Wehrl entropy is proposed for an arbitrary locally compact abelian group $G$. It is proved that the Wehrl entropy is not less than a certain nonnegative integer, which is an invariant of the group $G$. The minimum of the Wehrl entropy is attained on coherent states.
Keywords: coherent states, Wehrl entropy
Mots-clés : commutation relations. 
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     author = {Evgeny I. Zelenov},
     title = {On the {Minimum} of the {Wehrl} {Entropy} for a {Locally} {Compact} {Abelian} {Group}},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
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Evgeny I. Zelenov. On the Minimum of the Wehrl Entropy for a Locally Compact Abelian Group. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Noncommutative Analysis and Quantum Information Theory, Tome 324 (2024), pp. 95-100. http://geodesic.mathdoc.fr/item/TM_2024_324_a8/