222 citations · 1.6k across the 117 of their papers we have counts for
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Wigner negativity and stellar rank for SU(1,1) states
A. B. Klimov, A. Muñoz, G. Leuchs +2
Quasiprobability distributions for systems endowed with SU(1,1) dynamical symmetry have received surprisingly little attention, despite the central role of this symmetry in two-pho…
Quantum mechanics over real numbers fully reproduces standard quantum theory
Alan C. Maioli, Evaldo M. F. Curado, Jean-Pierre Gazeau
Standard quantum mechanics employs complex Hilbert spaces, but whether complex numbers are fundamental or merely convenient has long been debated. For decades, real-valued equivale…
Spectral-angular parametrization of open qudit dynamics: gap coordinates, Cartan structure, and GKLS decoupling
Jean-Pierre Gazeau, Kaoutar El Bachiri, Zakaria Bouameur +1
Every -level density matrix can be diagonalized as , splitting it into an eigenvalue vector and a unitary eigenba…
The Geometry of Qubit Decoherence: Linear vs. Nonlinear Dynamics in the Bloch Ball
Alan C. Maioli, Evaldo M. F. Curado, Jean-Pierre Gazeau +1
We present two complementary approaches to the GKSL equation for an open qubit. The first, based on linearity, yields solutions illustrated by mixed states trajectories in the Bloc…
Weyl-Heisenberg covariant quantization for the discrete torus
Romain Murenzi, Aidan Zlotak, Jean Pierre Gazeau
Covariant integral quantization is implemented for systems whose phase space is , i.e., for systems moving on the discrete periodic set …
Universality of the Weyl-Heisenberg symmetry and its covariant quantisations
Jean-Pierre Gazeau, Célestin Habonimana, Romain Murenzi +1
The Weyl-Heisenberg symmetries originate from translation invariances of various manifolds viewed as phase spaces, e.g. Euclidean plane, semi-discrete cylinder, torus, in the two-d…