Hamiltonian Benchmark of a Solid-State Spin-Photon Interface for Computation

Abstract:Light-matter interfaces are pivotal for quantum computation and communication. While typically analyzed using single-mode or open-quantum-system approximations, these models often neglect multi-mode field states and light-matter entanglement, hindering exact protocol modeling. Here, we solve the full Hamiltonian dynamics of a solid-state spin-photon interface for three key protocols: the generation of photon-number superpositions, a controlled photon-photon gate, and the production of photonic cluster states. By deriving exact fidelities, we identify fundamental performance limits. Our results reveal that while realistic imperfections severely limit photon-photon gates, they only slightly affect linear photonic clusters and are nearly harmless for photon-number state superpositions.

11 pages (main text and refs) + 3 pages (appendices), 6 figures. Accepted for publication in Phys. Rev. B

arXiv:2602.05637 [quant-ph]

(or arXiv:2602.05637v2 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2602.05637 Focus to learn more arXiv-issued DOI via DataCite

https://doi.org/10.1103/x983-pznx Focus to learn more DOI(s) linking to related resources

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