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arXiv · 2311.18634

Maximal exponent of the Lorentz cones

Guillaume Aubrun·Jing Bai
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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.

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Guillaume Aubrun, Jing Bai. 2023-12-12. Maximal exponent of the Lorentz cones. https://arxiv.org/abs/2311.18634

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