Entanglement, decoherence and estimation in neutrino oscillations

Abstract

In this work, we studied entanglement and decoherence in neutrino oscillations from a quantum metrology perspective. A summary of the quantum eld theoretic description of neutrinos was done and the main quantum mechanical models were used to analyze the inuence of entanglement and decoherence on the quantum Fisher information related to the mixing angle. We have found that, although in a variety of physical settings there is a positive relationship between entanglement and the quantum Fisher information, this is not the case in the neutrino oscillations scenario. This shows that, at least in single-particle settings, entanglement is not directly related to the optimal estimation in metrological tasks.