Explore a comprehensive lecture on the information paradox in empty space, delivered by Suvrat Raju at the Institute for Advanced Study's Workshop on Quantum Information and the Structure of Spacetime. Delve into complex topics such as strong subadditivity paradox, cloning paradox, CHSH inequalities, monogamy of Bell correlations in QFT, and their failure in gravity. Examine Bell correlations in simple harmonic oscillators and quantum field theory, with a focus on calculations in Anti-de Sitter space. Investigate the introduction of gravity, boundary Hamiltonians, and the construction of operators leading to a paradox in gravity. Gain insights into potential resolutions, key lessons, and open questions in this cutting-edge field of theoretical physics.