Trade-off relations of quantum resource theory in neutrino oscillations
| Autor: | Li, Yu-Wen, Li, Li-Juan, Song, Xue-Ke, Wang, Dong |
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| Rok vydání: | 2022 |
| Předmět: | |
| Zdroj: | Eur. Phys. J. Plus 137, 1267 (2022) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1140/epjp/s13360-022-03459-z |
| Popis: | The violation of the classical bounds imposed by Leggett-Garg inequalities has tested the quantumness of neutrino oscillations (NOs) over a long distance during the propagation. The measure of quantumness in experimentally observed NOs is studied via quantum resource theory (QRT). Here, we focus on the trade-off relations of QRT in the three-flavor NOs, based on Bell-type violations, first-order coherence and intrinsic concurrence, and the relative entropy of coherence. For the electron and muon antineutrino oscillations, the analytical trade-off relations obeyed by the Bell-CHSH inequality of pairwise flavor states in this three-flavor neutrino system are obtained; the sum of the maximal violation of the CHSH tests for three pairwise flavor states is less than or equal to 12. Moreover, there exists an equality relation concerning first-order coherence and intrinsic concurrence in NOs, showing how much quantum resources flow between first-order coherence and intrinsic concurrence during the neutrino propagation. In addition, it is found that the tripartite coherence of three-flavor system is equal to or larger than the sum of the coherence of reduced bipartite flavor states. The trade-off relations of QRT provide a method for studying how the quantum resources convert and distribute in NOs, which might inspire the future applications in quantum information processing using neutrinos. Comment: 9 pages, 7 figures |
| Databáze: | arXiv |
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