Quantum correlations in terms of neutrino oscillation probabilities

TL;DR

This paper explores the connection between neutrino oscillation probabilities and quantum correlations, demonstrating that neutrino experiments imply Bell's inequality violation due to mode entanglement.

Contribution

It establishes a direct relationship between neutrino oscillation probabilities and various quantum correlations, including Bell's inequality, highlighting their fundamental link.

Findings

Neutrino oscillations indicate mode entanglement.

Neutrino experiments imply Bell's inequality violation.

Quantum correlations are directly related to oscillation probabilities.

Abstract

Neutrino oscillations provide evidence for the mode entanglement of neutrino mass eigenstates in a given flavour eigenstate. Given this mode entanglement, it is pertinent to consider the relation between the oscillation probabilities and other quantum correlations. In this work, we show that all the well-known quantum correlations, such as the Bell's inequality, are directly related to the neutrino oscillation probabilities. The results of the neutrino oscillation experiments, which measure the neutrino survival probability to be less than unity, imply Bell's inequality violation.