Norms of quantum Gaussian multi-mode channels
Rupert L. Frank, Élliott H. Lieb · Journal of Mathematical Physics · 2017
We compute the Sp→Sp norm of a general Gaussian gauge-covariant multi-mode channel for any 1 ≤ p < ∞, where Sp is a Schatten space. As a consequence, we verify the Gaussian optimizer conjecture and the multiplicativity conjecture in these cases.