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  "slug": "resonant-kerr-cancellation-dynamics-in-dissipative-bosonic-stabilization",
  "title": "Resonant Kerr-Cancellation Dynamics",
  "authors": [
    "Rowan Brad Quni-Gudzinas"
  ],
  "abstract": "Bosonic codes encoded in superconducting cavities offer a hardware-efficient path to fault tolerance by exploiting the infinite dimensionality of a single harmonic oscillator. However, the non-linear mixing elements required for autonomous stabilization introduce parasitic self-Kerr interactions that induce deterministic dephasing and limit coherence times. We introduce a control framework based on resonant Kerr-cancellation dynamics using a Superconducting Nonlinear Asymmetric Inductive Element (SNAIL). By tuning the external magnetic flux to a symmetry-protected sweet spot, we eliminate the fourth-order non-linearity while maintaining the third-order mixing required for confinement. We derive an analytical stability threshold χ_aa < 0.1 κ_conf necessary to restore the exponential suppression of bit-flip errors. Analysis of spectroscopic data confirms that operating below this threshold eliminates the phase-space shearing observed in previous experiments. This protocol establishes the physical conditions required to surpass the break-even point in continuous variable quantum information.",
  "abstract_markdown": "Bosonic codes encoded in superconducting cavities offer a hardware-efficient path to fault tolerance by exploiting the infinite dimensionality of a single harmonic oscillator. However, the non-linear mixing elements required for autonomous stabilization introduce parasitic self-Kerr interactions that induce deterministic dephasing and limit coherence times. We introduce a control framework based on resonant Kerr-cancellation dynamics using a Superconducting Nonlinear Asymmetric Inductive Element (SNAIL). By tuning the external magnetic flux to a symmetry-protected sweet spot, we eliminate the fourth-order non-linearity while maintaining the third-order mixing required for confinement. We derive an analytical stability threshold \\(\\chi_{aa} < 0.1 \\kappa_{conf}\\) necessary to restore the exponential suppression of bit-flip errors. Analysis of spectroscopic data confirms that operating below this threshold eliminates the phase-space shearing observed in previous experiments. This protocol establishes the physical conditions required to surpass the break-even point in continuous variable quantum information.",
  "date": "2025-12-01",
  "first_published": "2025-12-01",
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  "url": "https://papers.qnfo.org/papers/resonant-kerr-cancellation-dynamics-in-dissipative-bosonic-stabilization",
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        "name": "Rowan Brad Quni-Gudzinas",
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        "title": "Resonant Kerr-Cancellation Dynamics"
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