Average metric adjusted skew information of coherence under conical 2-designs generalized equiangular measurements
Abstract
Quantum coherence is an important quantum resource which plays a pivotal role in the field of quantum information. Based on metric adjusted skew information, we define a measure of quantum uncertainty to study average coherence under conical 2-designs generalized equiangular measurements, and prove the equivalence of this measure to the scaled average coherence based on metric adjusted skew information under a set of unitary groups, operator orthonormal bases, and mutually unbiased bases. We also derive two trade-off relations by this measure and solve a conjecture. Furthermore, we give two entanglement criteria by this measure and conical 2-designs generalized equiangular measurement, respectively, and illustrate the effectiveness of them by explicit examples.
Keywords
Cite
@article{arxiv.2604.20149,
title = {Average metric adjusted skew information of coherence under conical 2-designs generalized equiangular measurements},
author = {Baolong Cheng and Linlin Ye and Zhaoqi Wu},
journal= {arXiv preprint arXiv:2604.20149},
year = {2026}
}
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19 pages