English

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

Quantum Physics 2021-11-25 v1

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.

Keywords

Cite

@article{arxiv.2111.12220,
  title  = {Notes on quantum coherence with l_1-norm and convex-roof l_-norm},
  author = {Jiayao Zhu and Jian Ma and Tinggui Zhang},
  journal= {arXiv preprint arXiv:2111.12220},
  year   = {2021}
}

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8 pages