Unifying First-Order Coherence, Concurrence, and Bell Correlations in Three-Flavor Neutrino Oscillations

arXiv:2611.07285v1 Announce Type: new Abstract: Neutrino oscillations provide a natural setting for investigating the quantum character of flavor conversion and the distribution of quantum resources over macroscopic distances. Here, we study exact relations among purity-based first-order coherence, pairwise concurrence, and the maximal Clauser-Horne-Shimony-Holt (CHSH) value in coherent three-flavor neutrino oscillations. By expressing the evolving neutrino as a three-qubit single-excitation state, we derive the generally mixed two-qubit reductions and show that the squared first-order coherence of each flavor mode and its two associated squared concurrences sum to unity.