New Additivity Properties of the Relative Entropy of Entanglement and Its Generalizations

Watch a 23-minute conference talk from the 18th Theory of Quantum Computation Conference (TQC 2023) exploring groundbreaking research on the additivity properties of relative entropy of entanglement. Learn about newly proven additivity conditions when one state belongs to specific classes including bipartite pure, maximally correlated, GHZ, Bell diagonal, isotropic, and generalized Dicke states - expanding previous proofs that required both states to be in the same class. Discover how these findings extend to entanglement monotones based on α-z Rényi relative entropy, encompassing the generalized robustness of entanglement and geometric measure of entanglement. Examine closed-form expressions of monotones for various quantum states and understand new optimization techniques that simplify calculations. While focused on entanglement theory, gain insights into broader resource theory applications through technical results presented in a general framework.