2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/117117We propose a genuine multi-party correlation measure for a multi-party quantum system as the trace norm of the cumulant of the state. The legitimacy of our multi-party correlation measure is explicitly demonstrated by proving it satisfies the five basic conditions required for a correlation measure. As an application we construct an efficient algorithm for the calculation of our measures for all stabilizer states.9 pages, 1 figure, to be published in Phys. Rev. AQuantum Physicstext