Maximal exponent of the Lorentz cones
Metric Geometry
2023-12-14 v2 Functional Analysis
Quantum Physics
Abstract
We show that the maximal exponent (i.e., the minimum number of iterations required for a primitive map to become strictly positive) of the n-dimensional Lorentz cone is equal to n. As a byproduct, we show that the optimal exponent in the quantum Wielandt inequality for qubit channels is equal to 3.
Cite
@article{arxiv.2311.18634,
title = {Maximal exponent of the Lorentz cones},
author = {Guillaume Aubrun and Jing Bai},
journal= {arXiv preprint arXiv:2311.18634},
year = {2023}
}
Comments
1 figure. v2: simplified the proof, added a section about quantum Wielandt inequality