  The development of efficient network nodes is a key element for the
realisation of quantum networks which promise great capabilities as distributed
quantum computing or provable secure communication. We report the realisation
of a quantum network node using a trapped ion inside a fiber-based Fabry-Perot
cavity. We show the generation of deterministic entanglement at a high fidelity
of $ 91.2(2) $\,\% between a trapped Yb--ion and a photon emitted into the
resonator mode. We achieve a success probability for generation and detection
of entanglement for a single shot of $ 2.5 \cdot 10^{-3}$ resulting in 62\,Hz
entanglement rate.
