We present the demonstration of a quantum matter-link in which ion qubits are transferred between adjacent QC modules. Ion transport between adjacent modules is realised at a rate of 2424 1/s and with an ion-transfer fidelity in excess of 99.999993%. Furthermore, we show that the link does not measurably impact the phase coherence of the qubit. The realisation of the quantum matter-link demonstrates a novel mechanism for interconnecting quantum computing modules. This achieves a key milestone for the implementation of modular quantum computers capable of hosting millions of qubits. Published on 8 February in Nature Communications.