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Preprints, Working Papers, ... Year : 2023

Maximal exponent of the Lorentz cones

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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hal-04398595 , version 1 (16-01-2024)

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Guillaume Aubrun, Jing Bai. Maximal exponent of the Lorentz cones. 2023. ⟨hal-04398595⟩
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