Multidimensional cluster states using a single spin-photon interface coupled strongly to an intrinsic nuclear register

TL;DR

This paper proposes a method to generate multi-dimensional photonic cluster states using a single spin-photon interface coupled to a nuclear register, enabling scalable quantum computing and communication.

Contribution

It introduces a novel scheme utilizing hyperfine interaction for universal gates and entanglement transfer to photons, with specific implementation in silicon-29 vacancy centers.

Findings

Achieves 2x5 cluster state with 0.5 fidelity at 65 kHz

Numerical evidence supports feasibility with current technology

Potential to generate 100-photon cluster states with improvements

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 2x5-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.