Universal bound conjecture for Gaussian entropic optimal transport
Let A,B⊳0\boldsymbol{A},\boldsymbol{B}\rhd 0A,B⊳0 be positive-definite covariance operators on H=Rd\mathcal{H}=\mathbb{R}^{d}H=Rd, and let πε\pi_{\varepsilon}πε and π0\pi_{0}π0 denote the entropic a…