2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/174482Quantum computers hold the promise to solve certain computational task much more efficiently than classical computers. We review the recent experimental advancements towards a quantum computer with trapped ions. In particular, various implementations of qubits, quantum gates and some key experiments are discussed. Furthermore, we review some implementations of quantum algorithms such as a deterministic teleportation of quantum information and an error correction scheme.Review article, accepted for publication in Physics Reports, 99pages, 38 Figures, ~2 MByteQuantum Physicstext