Average metric adjusted skew information of coherence under conical 2-designs generalized equiangular measurements
This work introduces metric adjusted skew information to define a measure of quantum uncertainty, Qf(ρ). It investigates how this uncertainty relates to average coherence when a quantum state is measured using conical 2-designs generalized equiangular measurements. The study proves the equivalence of this coherence measure across different measurement bases and derives two new entanglement detection criteria.