2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/90836We give an equivalent finitary reformulation of the classical Shannon-McMillan-Breiman theorem which has an immediate translation to the case of ergodic quantum lattice systems. This version of a quantum Breiman theorem can be derived from the proof of the quantum Shannon-McMillan theorem presented in our previous work (math.DS/0207121).9 pagesQuantum PhysicsMathematical PhysicsDynamical SystemsOperator Algebrastext