Neutrino quantum kinetics in SN and binary mergers

In hot and dense matter-environments such as the inner regions of core-collapse supernova (CCSN) and the remnant of binary neutron star mergers (BNSM), a great number of neutrinos are radiated. In such dense neutrino environments, neutrinos can interact among themselves, which has a potential to trigger various types of flavor conversion instabilities. This requires a quantum kinetic treatment in neutrino transport, which could be a game changer for CCSN and BNSM theories. In this conference, I introduce the current status of numerical modeling of qnatum kinetic neutrino transport in CCSN and BNSM environments and discuss future perspectives.