2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/165696By combining the Minkowski inequality and the quantum Chernoff bound, we derive easy-to-compute upper bounds for the error probability affecting the optimal discrimination of Gaussian states. In particular, these bounds are useful when the Gaussian states are unitarily inequivalent, i.e., they differ in their symplectic invariants.8 pages, 1 figure. REVTeXQuantum PhysicsMathematical PhysicsData Analysis, Statistics and Probabilitytext