3 papers
quant-ph2025
Inverse problems for the zeros of the Wigner function
LuÃs Daniel Abreu, Ulysse Chabaud, Nuno Costa Dias +1
In this work we consider the inverse problem of determining the properties of a Wigner function from the set of its zeros (the nodal set). The previous state of the art of the prob…
math.FA2025
On Wigdersons' approach to the uncertainty principle
Nuno Costa Dias, Franz Luef, João Nuno Prata
We revisit the uncertainty principle from the point of view suggested by A. Wigderson and Y. Wigderson. This approach is based on a primary uncertainty principle from which one can…
math.FA2024
A metaplectic perspective of uncertainty principles in the Linear Canonical Transform domain
Nuno Costa Dias, Maurice de Gosson, João Nuno Prata
We derive Heisenberg uncertainty principles for pairs of Linear Canonical Transforms of a given function, by resorting to the fact that these transforms are just metaplectic operat…