Laser Physics Letters
Coherence estimation of quantum superposition states
Chengyang Zhang, Zhihua Guo, Ying Yang, Huaixin Cao
Abstract
Abstract Quantum coherence is a fundamental resource in quantum information science and one of the most distinctive features of quantum mechanics. In this paper, we derive a tight upper bound for the coherence of the superposition composed of two orthogonal states using ℓ 1 -norm coherence measure, demonstrating that our upper bound is tighter than the one presented by Yue et al (2017 Sci. Rep. 7 4006). Furthermore, we extend the result to the superposition of n orthogonal states and establish the optimal upper bound for its coherence. Our results provide a more accurate estimate of the coherence of the superposition state.