Recorded 01 April 2025. Paul Ayers of McMaster University presents "A Quantum Optimal Transport Approach to the (Exact) 1-Electron Density-Matrix Functional" at IPAM's Optimal Transport for Density Operators: Theory and Numerics Workshop. Abstract: We demonstrate how the exact reduced density matrix functional can be expressed as a (regularized) quantum optimal transport problem. This provides a mathematical framework and computational platform for exploration of the exact functional and its derivative. Our approach is practical even for strongly-correlated electrons (where density-matrix functional theory may be expected to surpass density functional theory) and can be applied to molecules larger than those considered by analogous density-functional problems. Learn more online at: https://www.ipam.ucla.edu/programs/workshops/workshop-i-optimal-transport-for-density-operators-theory-and-numerics/?tab=schedule