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

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arXiv:2604.20149v1 Announce Type: new 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 orthon

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Quantum Physics [Submitted on 22 Apr 2026] Average metric adjusted skew information of coherence under conical 2-designs generalized equiangular measurements Baolong Cheng, Linlin Ye, Zhaoqi Wu 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. Comments: 19 pages Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2604.20149 [quant-ph] (or arXiv:2604.20149v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2604.20149 Focus to learn more Submission history From: Zhaoqi Wu [view email] [v1] Wed, 22 Apr 2026 03:28:26 UTC (16 KB) Access Paper: HTML (experimental) view license Current browse context: quant-ph < prev | next > new | recent | 2026-04 References & Citations INSPIRE HEP NASA ADS Google Scholar Semantic Scholar Export BibTeX Citation Bookmark Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer (What is the Explorer?) Connected Papers Toggle Connected Papers (What is Connected Papers?) Litmaps Toggle Litmaps (What is Litmaps?) scite.ai Toggle scite Smart Citations (What are Smart Citations?) Code, Data, Media Demos Related Papers About arXivLabs Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?)

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