Average metric adjusted skew information of coherence under conical 2-designs generalized equiangular measurements
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866913053838147584 |
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| author | Cheng, Baolong Ye, Linlin Wu, Zhaoqi |
| author_facet | Cheng, Baolong Ye, Linlin Wu, Zhaoqi |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_20149 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Average metric adjusted skew information of coherence under conical 2-designs generalized equiangular measurements Cheng, Baolong Ye, Linlin Wu, Zhaoqi Quantum Physics 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. |
| title | Average metric adjusted skew information of coherence under conical 2-designs generalized equiangular measurements |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2604.20149 |