2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/117087A multimode uncertainty relation (generalising the Robertson-Schroedinger relation) is derived as a necessary constraint on the second moments of n pairs of canonical operators. In turn, necessary conditions for the separability of multimode continuous variable states under (m+n)-mode bipartitions are derived from the uncertainty relation. These conditions are proven to be necessary and sufficient for (1+n)-mode Gaussian states and for (m+n)-mode bisymmetric Gaussian states.4 pages, no figures; shorter version of a longer version (see quant-ph/0508231), publishedQuantum Physicstext