4 papers · 1 filter
The Wehrl-type entropy conjecture for symmetric coherent states: cases of equality and stability
Fabio Nicola, Federico Riccardi, Paolo Tilli
Lieb and Solovej proved that, for the symmetric representations, the corresponding Wehrl-type entropy is minimized by symmetric coherent states. However, the uniqueness of…
The wave function of stabilizer states and the Wehrl conjecture
Fabio Nicola
We focus on quantum systems represented by a Hilbert space , where is a locally compact Abelian group that contains a compact open subgroup. We examine two interconnect…
The Fefferman-Phong uncertainty principle for representations of Lie groups and applications
Fabio Nicola
The Fefferman-Phong uncertainty principle is a deep result concerning the order of magnitude of the bottom of the spectrum of second order pseudodifferential operators with nonnega…
The quantitative isoperimetric inequality for the Hilbert-Schmidt norm of localization operators
Fabio Nicola, Federico Riccardi
In this paper we study the Hilbert-Schmidt norm of time-frequency localization operators , with Gaussian window, associa…