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A note on uncertainty relations of metric-adjusted skew information.
- Source :
-
Quantum Information Processing . Feb2023, Vol. 22 Issue 2, p1-15. 15p. - Publication Year :
- 2023
-
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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 15700755
- Volume :
- 22
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Quantum Information Processing
- Publication Type :
- Academic Journal
- Accession number :
- 162665331
- Full Text :
- https://doi.org/10.1007/s11128-023-03865-x