Related papers: Average metric adjusted skew information of coherence under conical 2-designs generalized equiangular measurements

Average metric adjusted skew information of coherence under conical 2-designs generalized equiangular measurements

URL: http://arxiv.org/abs/2604.20149v1
Date: Wed, 22 Apr 2026 03:28:26 GMT
Title: Average metric adjusted skew information of coherence under conical 2-designs generalized equiangular measurements
Abstract summary: We define a measure of quantum uncertainty to study average coherence under conical 2-designs generalized equiangular measurements.<n>We also derive two trade-off relations by this measure and solve a conjecture.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
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.

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