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A note on uncertainty relations of metric-adjusted skew information
- Source :
- Quant. Inform. Processing 22 (2023) 115
- Publication Year :
- 2022
-
Abstract
- The uncertainty principle is one of the fundamental features of quantum mechanics and plays a vital role in quantum information processing. We study uncertainty relations based on metric-adjusted skew information for finite quantum observables. Motivated by the paper [Physical Review A 104, 052414 (2021)], we establish tighter uncertainty relations in terms of different norm inequalities. Naturally, we generalize the method to uncertainty relations of metric-adjusted skew information for quantum channels and unitary operators. As both the Wigner-Yanase-Dyson skew information and the quantum Fisher information are the special cases of the metric-adjusted skew information corresponding to different Morozova-Chentsov functions, our results generalize some existing uncertainty relations. Detailed examples are given to illustrate the advantages of our methods.<br />Comment: 14 pages, 3 figures
- Subjects :
- Quantum Physics
Subjects
Details
- Database :
- arXiv
- Journal :
- Quant. Inform. Processing 22 (2023) 115
- Publication Type :
- Report
- Accession number :
- edsarx.2203.01109
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1007/s11128-023-03865-x