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arXiv · 2111.12220

Notes on quantum coherence with l_1-norm and convex-roof l_-norm

Jiayao Zhu·Jian Ma·Tinggui Zhang
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Abstract

In this work, we evaluate quantum coherence using the l_1-norm and convex-roof l_1-norm and obtain several new results. First, we provide some new general triangle-like inequalities of quantum coherence, with results better than existing ones. Second, for some special three-dimensional quantum states, a method for calculating the convex-roof l_1-norm is presented. Lastly, we offer distinct upper bounds in the l_1-norm measure of coherence based on the quantum state itself.

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Jiayao Zhu, Jian Ma, Tinggui Zhang. 2021-11-24. Notes on quantum coherence with l_1-norm and convex-roof l_-norm. https://arxiv.org/abs/2111.12220

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