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    Magic states in the asymmetric quantum Rabi model

    A. Campos-Uscanga1, E. Benítez Rodríguez1, E. Piceno Martínez2, and M. A. Bastarrachea-Magnani1,*

    • 1Departamento de Física, Universidad Autónoma Metropolitana-Iztapalapa, Av. Ferrocarril San Rafael Atlixco 186, C.P. 09310 Mexico City, Mexico
    • 2Centro de Investigaciones en Óptica, Loma del Bosque 115, C.P. 37150, Guanajuato, Mexico

    • *Contact author: bastarrachea@xanum.uam.mx

    Phys. Rev. A 113, 012412 – Published 5 January, 2026

    DOI: https://doi.org/10.1103/qmw5-2wbf

    Abstract

    Nonstabilizerness 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 the magic resource in a bipartite system, the asymmetric quantum Rabi model, a paradigmatic model from quantum optics. We explore the presence of nonstabilizerness 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 ultrastrong-coupling regimes within the context of quantum informational systems.

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