https://doi.org/10.1140/epjp/s13360-024-04932-7
Regular Article
Wigner–Yanase skew information-based uncertainty relations for quantum channels
1
School of Mathematics and Statistics, Changsha University of Science and Technology, 410114, Changsha, China
2
School of Mathematical Sciences, Capital Normal University, 100048, Beijing, China
3
Max-Planck-Institute for Mathematics in the Sciences, 04103, Leipzig, Germany
Received:
10
June
2023
Accepted:
22
January
2024
Published online:
6
February
2024
The Wigner–Yanase skew information stands for the uncertainty about the information on the values of observables not commuting with the conserved quantity. The Wigner–Yanase skew information-based uncertainty relations can be regarded as a complementarity to the conceptual Heisenberg uncertainty principle. We present tight uncertainty relations in both product and summation forms for two quantum channels based on the Wigner–Yanase skew information. We show that our uncertainty inequalities are tighter than the existing ones.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.