Integration over the Pauli quantum group
Quantum Algebra
2019-02-27 v4 Operator Algebras
Abstract
We prove that the Pauli representation of the quantum permutation algebra is faithful. This provides the second known model for a free quantum algebra. We use this model for performing some computations, with the main result that at the level of laws of diagonal coordinates, the Lebesgue measure appears between the Dirac mass and the free Poisson law.
Cite
@article{arxiv.math/0610041,
title = {Integration over the Pauli quantum group},
author = {Teodor Banica and Benoit Collins},
journal= {arXiv preprint arXiv:math/0610041},
year = {2019}
}
Comments
27 pages