Schrödinger encounters Fisher and Rao: a survey
arXiv:2104.00383 · doi:10.1007/978-3-030-80209-7_51
Abstract
In this short note we review the dynamical Schrödinger problem on the non-commutative Fisher-Rao space of positive semi-definite matrix-valued measures. The presentation is meant to be self-contained, and we discuss in particular connections with Gaussian optimal transport, entropy, and quantum Fisher information.