Magic States in the Asymmetric Quantum Rabi Model

Magic or non-stabilizerness is a resource for quantum computing that has been extensively studied in qudit networks. It describes the degree to which Clifford gates cannot generate a given state, capturing the advantage of quantum over classical computing. However, its definition in continuous variables and general composite systems remains an open issue. We study magic in a bipartite system, the Asymmetric Quantum Rabi model, a paradigmatic model from quantum optics. We explore the presence of magic in the qubit-reduced system throughout the Hamiltonian parameter space, the role of light-matter interactions in its generation, and the manifestation of Wigner function negativity in the corresponding bosonic degree of freedom. Finally, we discuss our results for magic state preparation in the strong and ultra-strong coupling regimes within the context of quantum informational systems.