56 citations · 520 across the 52 of their papers we have counts for
60 papers
Generalized Marginals of tie -Wigner Distribution nand Lagrangian Tomography
Maurice de Gosson
We develop a symplectic formulation of the Lagrangian Radon transform based on the transitive action of the symplectic group on the Lagrangian Grassmannian. This geometric framewor…
On Quantum Indeterminacy and the Uncertainty Principle
Maurice de Gosson
We propose a geometric formulation of quantum indeterminacy based on polar duality between convex bodies representing position and momentum data. A pair (X,P) of centrally symmetri…
Polar Duality and Quasi-States: a Geometric Picture of Quantum Indeterminacy
Maurice de Gosson
The aim of this paper is to suggest a new interpretation of quantum indeterminacy using the notion of polar duality from convex geometry. Our approach does not involve the usual va…
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…
Polar Duality and the Reconstruction of Quantum Covariance Matrices from Partial Data
Maurice A. de Gosson
We address the problem of the reconstruction of quantum covariance matrices using the notion of Lagrangian and symplectic polar duality introduced in previous work. We apply our co…
Symplectic and Lagrangian Polar Duality; Applications to Quantum Information Geometry
Maurice de Gosson, Charlyne de Gosson
Polar duality is a well-known concept from convex geometry and analysis. In the present paper, we study two symplectically covariant versions of polar duality keeping in mind their…