Integration over the Pauli quantum group
量子代数
2019-02-27 v4 算子代数
摘要
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.
引用
@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}
}
备注
27 pages