Trade-off relations of quantum resource theory in neutrino oscillations

• URL: http://arxiv.org/abs/2212.09320v1
• Date: Mon, 19 Dec 2022 09:38:13 GMT
• Title: Trade-off relations of quantum resource theory in neutrino oscillations
• Authors: Yu-Wen Li, Li-Juan Li, Xue-Ke Song, Dong Wang
• Abstract summary: The measure of quantumness in experimentally observed neutrino oscillations (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. 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.
• Score: 9.036748351752362
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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.

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