Applications of Geometric Coherence with Respect to Mutually Unbiased Bases

Quantum coherence plays a vital role in quantum mechanics and quantum information processing. It can be regarded as an important quantum resource. Quantification of coherence is the core of coherence theory. Geometric coherence as a measure of coherence can effectively quantify quantum coherence. In this work, we drive complementarity relations for geometric coherence with respect to mutually unbiased bases. Then, based on these complementarity relations, we establish the relationship between geometric coherence and quantum steering.