Explore a theoretical physics seminar that delves into the quantum mechanics of black hole evaporation through Hawking radiation. Learn about the behavior of quantum correlations during black hole evaporation, focusing on pure Gaussian states and their thermal properties. Examine how individual radiation modes correlate with modes inside black holes, and discover why strong quantum entanglement between Hawking modes isn't necessary for maintaining unitarity after complete black hole evaporation. Through detailed analysis of pure Gaussian state families, understand why the majority of these states exhibit minimal entanglement, challenging previous assumptions about quantum correlations in Hawking radiation.