Catalytic Gaussian thermal operations

We examine the problem of state transformations in framework Gaussian thermal resource theory presence catalysts. To this end, we introduce an expedient parametrisation covariance matrices terms principal mode temperatures and asymmetries, consider both weak strong catalytic scenarios. show that catalysts (where final correlations with system are forbidden) useless for single case, they do not expand set states reachable from a given initial through operations. then go on to prove allowed) instead capable reaching more states, determine exact conditions single-mode their presence. Next, derive necessary holding any number modes, approximate transformations, without addition bath. discuss implications these results devices operating elements.