2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/144340We present a proof for the quantum channel coding theorem which relies on the fact that a randomly chosen code space typically is highly suitable for quantum error correction. In this sense, the proof is close to Shannon's original treatment of information transmission via a noisy classical channel.25 pages, to appear in Open Systems and Information DynamicsQuantum PhysicsA random-coding based proof for the quantum coding theoremtext