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.

arXiv:2604.20149 [quant-ph]

(or arXiv:2604.20149v2 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2604.20149 Focus to learn more arXiv-issued DOI via DataCite

Phys. Lett. A 2026, 595: 132087

https://doi.org/10.1016/j.physleta.2026.132087 Focus to learn more DOI(s) linking to related resources

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