Recorded 31 March 2025. Lorenzo Portinale of the Università di Milano presents "Entropic quantum optimal transport and Pauli exclusion principle" at IPAM's Optimal Transport for Density Operators: Theory and Numerics Workshop. Abstract: In this talk, we discuss non-commutative optimal transport with convex regularization in a static and finite-dimensional setting. In particular, we will focus on the case when symmetry constraints (bosonic/fermionic) are enforced, and discuss a variational interpretation of the Pauli exclusion principles in terms of a dual formulation of the transport problem. Learn more online at: https://www.ipam.ucla.edu/programs/workshops/workshop-i-optimal-transport-for-density-operators-theory-and-numerics/?tab=schedule