4 papers
Stellar Representation of Gottesman Kitaev Preskill States on the Double Discrete Cylinder
Aidan Zlotak, Nicolas Fabre, Romain Murenzi
Covariant integral quantization is developed on the double discrete cylinder phase space, with the torus as configuration space, and yields the Wigner distribution and the stellar…
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…
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.…