2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/106757We prove the security of a high-capacity quantum key distribution protocol over noisy channels. By using entanglement purification protocol, we construct a modified version of the protocol in which we separate it into two consecutive stages. We prove their securities respectively and hence the security of the whole protocol.4 pagesQuantum Physicstext