8 papers · 1 filter
Wigner negativity and stellar rank for SU(1,1) states
A. B. Klimov, A. Muñoz, G. Leuchs +3
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
Jean-Pierre Gazeau, Kaoutar El Bachiri, Zakaria Bouameur +1
We present a parametrization of density matrices (mixed states) in a finite-dimensional Hilbert space , particularly suited to the description of their time evolution…
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…
A purely geometrical Aharonov-Bohm effect
Jean-Pierre Gazeau, Tomoi Koide, Romain Murenzi +1
We present an application of the affine covariant integral quantization (ACIQ) (Adv. Oper. Theory, 5, 2020; Adv. Oper. Theory, 7, 2022) to quantum mechanics on the punctured plane.…
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 …