Abstract
Photonic cluster states are a powerful resource for measurement-based quantum computing and loss-tolerant quantum communication. Proposals to generate multi-dimensional lattice cluster states have identified coupled spin-photon interfaces, spin-ancilla systems, and optical feedback mechanisms as potential schemes. Following these, we propose the generation of multi-dimensional lattice cluster states using a single, efficient spin-photon interface coupled strongly to a nuclear register. Our scheme makes use of the contact hyperfine interaction to enable universal quantum gates between the interface spin and a local nuclear register and funnels the resulting entanglement to photons via the spin-photon interface. Among several quantum emitters, we identify the silicon-29 vacancy centre in diamond, coupled to a nanophotonic structure, as possessing the right combination of optical quality and spin coherence for this scheme. We show numerically that using this system a 2×5-sized cluster state with a lower-bound fidelity of 0.5 and repetition rate of 65 kHz is achievable under currently realised experimental performances and with feasible technical overhead. Realistic gate improvements put 100-photon cluster states within experimental reach.
Highlights
Photons offer a robust way to distribute information and entanglement to implement building elements of quantum communication and computation [1,2,3,4,5,6,7,8]
Cluster states are a promising solution for this approach as they possess two key properties: (1) persistency, meaning entanglement remains even if individual photons are lost or measured, and (2) maximal connectedness, meaning any two qubits can be brought into a Bell state via local measurements [12,13,14]
We identify solid-state systems which could be used to realise this scheme via an intrinsic nuclear spin, with group IV
Summary
Photons offer a robust way to distribute information and entanglement to implement building elements of quantum communication and computation [1,2,3,4,5,6,7,8]. An approach for optical photons coupled to a solid-state emitter was proposed [25] as a more feasible scheme to generate one-dimensional photonic cluster states using a single spin-photon interface and is of particular interest. The complex photonic states necessary for quantum communication, named “repeater graph states” [15], can be produced using two QDs [32] as well as a single optically active spin coupled to an ancilla qubit, such as a proximal nuclear spin [32, 33] The latter approach is attractive because of the reduced technical overhead with respect to engineering interactions between multiple quantum emitters. We provide a scheme to generate a multidimensional cluster state from a single spin-photon interface coupled strongly to an intrinsic nuclear register via the hyperfine interaction. This can be extended to generating a 100-photon, 2×50 cluster state at 0.6 mHz with F > 0.9
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