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Quantum networks can enable long-range quantum communication and modularquantum computation. A powerful approach is to use multi-qubit network nodeswhich provide the quantum memory and computational power to performentanglement distillation, quantum error correction, and informationprocessing. Nuclear spins associated with optically-active defects in diamondare promising qubits for this role. However, their dephasing duringentanglement distribution across the optical network hinders scaling to largersystems. In this work, we show that a single 13C spin in isotopicallyengineered diamond offers a long-lived quantum memory that is robust to theoptical link operation of an NV centre. The memory lifetime is improved by twoorders-of-magnitude upon the state-of-the-art, and exceeds the best reportedtimes for remote entanglement generation. We identify ionisation of the NVcentre as a newly limiting decoherence mechanism. As a first step towardsovercoming this limitation, we demonstrate that the nuclear spin state can beretrieved with high fidelity after a complete cycle of ionisation andrecapture. Finally, we use numerical simulations to show that the combinationof this improved memory lifetime with previously demonstrated entanglementlinks and gate operations can enable key primitives for quantum networks, suchas deterministic non-local two-qubit logic operations and GHZ state creationacross four network nodes. Our results pave the way for test-bed quantumnetworks capable of investigating complex algorithms and error correction.

Robust quantum-network memory based on spin qubits in isotopically engineered diamond