  In astrophysical scenarios with large neutrino density, like supernovae and
the early universe, the presence of neutrino-neutrino interactions can give
rise to collective flavor oscillations in the out-of-equilibrium collective
dynamics of a neutrino cloud. The role of quantum correlations in these
phenomena is not yet well understood, in large part due to complications in
solving for the real-time evolution of the strongly coupled many-body system.
Future fault-tolerant quantum computers hold the promise to overcome much of
these limitations and provide direct access to the correlated neutrino dynamic.
In this work, we present the first simulation of a small system of interacting
neutrinos using current generation quantum devices. We introduce a strategy to
overcome limitations in the natural connectivity of the qubits and use it to
track the evolution of entanglement in real-time. The results show the critical
importance of error-mitigation techniques to extract meaningful results for
entanglement measures using noisy, near term, quantum devices.
