Multidimensional Photonic Cluster States Using a Single Spin-Photon Interface Coupled to a Nuclear Register

Multidimensional cluster states of photons are a powerful resource towards measurement-based quantum computing and robust quantum communication^[1,2]. Existing generation proposals rely on coupled spin-photon interfaces^[3] or complex optical feedback mechanisms^[4,5]. Instead, we propose to generate a multi-dimensional cluster state using a single, efficient spin-photon interface coupled to nuclear spins. We use the hyperfine interaction to enable universal quantum gates between the interface spin and a local nuclear register and funnel the resulting entanglement to photons. We show that in silicon-29 vacancy centres in diamond coupled to nanophotonic structures, 2x4 sized cluster states of fidelity F>0.5 and repetition rate of 50 kHz are achievable. As spin-photon interfaces equipped with a nuclear mode continue to develop, the fidelity and repetition rate at which multidimensional cluster states could be generated using our proposal will improve, providing a route to realising large-scale quantum computing and quantum communication.

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2 M. Zwerger et al. Appl. Phys. B 122 (2016)
3 S. E. Economou et al. Phys. Rev. Lett. 105, 093601 (2010)
4 H. Pichler et al. PNAS 114, 11362 (2017)
5 Y. Pilnyak et al. Phys. Rev. A 95, 022304 (2017)