https://doi.org/10.1140/epjp/s13360-024-05005-5
Regular Article
Uncertainty relations for quantum coherence using wave packet approach in neutrino oscillations
1
School of Advanced Manufacturing Engineering, Hefei University, 230601, Hefei, People’s Republic of China
2
School of Physics and Optoelectronic Engineering, Anhui University, 230601, Hefei, People’s Republic of China
3
Anhui Provincial Engineering Technology Research Center of Intelligent Vehicle Control and Integrated Design Technology, 230601, Hefei, People’s Republic of China
Received:
30
August
2023
Accepted:
12
February
2024
Published online:
8
March
2024
Uncertainty relation is one of the most iconic implications of quantum physics distinguishing classical physics. It demonstrates the inherent uncertainty of nature from the information theory perspectives. In this work, we investigate the uncertainty relations for quantum coherence using wave packet approach in neutrino oscillations. From e and 
neutrino sources, the coherence-based uncertainty and two different lower bounds are analyzed in detail under the mutually unbiased bases. It is found that the uncertainty exhibits the characterization of oscillations for short distances, and the lower bound can be strengthened by the Holevo quantity and the mutual information in neutrino oscillations. Particularly, the gap of the improved coherence-based uncertainty relation become smaller with the growth of entanglement for the neutrino-flavor state. Furthermore, compared to the entropy-based uncertainty relations, it shows that coherence-based uncertainty is inversely correlated with the entropy-based uncertainty, which can provide a feasible physical explanation for the uncertainty relations for quantum coherence. The results could pave the theoretical foundation for further application of neutrino oscillations on quantum information science.
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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.
