4 papers · 1 filter
An elementary approach to Wehrl-type entropy bounds in quantitative form
Fabio Nicola, Federico Riccardi, Paolo Tilli
We consider the problem of the stability (with sharp exponent) of the Lieb--Solovej inequality for symmetric coherent states, which was obtained only recently by the author…
The Hudson theorem in LCA groups and infinite quantum spin systems
Fabio Nicola, Federico Riccardi
The celebrated Hudson theorem states that the Gaussian functions in are the only functions whose Wigner distribution is everywhere positive. Motivated by quantum inf…
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…