123 citations · 1k across the 65 of their papers we have counts for
25 papers · 1 filter
Inverse problems for the zeros of the Wigner function
Luís Daniel Abreu, Ulysse Chabaud, Nuno Costa Dias +1
We study the nodal (zero) set of the Wigner transform, obtaining a rigidity theorem for the eigenstates of one-dimensional harmonic oscillator. For every , and…
On a recent conjecture by Z. Van Herstraeten and N.J. Cerf for the quantum Wigner entropy
Nuno Costa Dias, João Nuno Prata
We address a recent conjecture stated by Z. Van Herstraeten and N.J. Cerf. They claim that the Shannon entropy for positive Wigner functions is bounded below by a positive constant…
Boundaries and profiles in the Wigner formalism
Nuno Costa Dias, João Nuno Prata
We consider a quantum device contained in an interval in the context of the Weyl-Wigner formalism. This approach was originally suggested by Frensley, and is known to be plagued wi…
Partial Traces and the Geometry of Entanglement; Sufficient Conditions for the Separability of Gaussian States
Nuno Costa Dias, Maurice de Gosson, Joao Nuno Prata
The notion of partial trace of a density operator is essential for the understanding of the entanglement and separability properties of quantum states. In this paper we investigate…
Quantum mappings acting by coordinate transformations on Wigner distributions
Nuno Costa Dias, João Nuno Prata
We prove two results about Wigner distributions. Firstly, that the Wigner transform is the only sesquilinear map ${\mathcal S}(\mathbb{R}^n) \times {\mathcal S}(\mathbb{R}^n) \to {…
Bell operator and Gaussian squeezed states in noncommutative quantum mechanics
Catarina Bastos, Alex E. Bernardini, Orfeu Bertolami +2
One examines putative corrections to the Bell operator due to the noncommutativity in the phase-space. Starting from a Gaussian squeezed envelop whose time evolution is driven by c…