Scaling behavior of hybrid quantum protection in Kitaev chains under realistic multi-component noise

Abstract Quantum decoherence remains the primary obstacle for fault-tolerant quantum computing, with current protection methods facing significant limitations in realistic, solid-state noise environments. A comprehensive scaling analysis of a hybrid quantum protection scheme, which integrates topological encoding in Kitaev chains with adaptive noise-informed control, is presented. This analysis addresses a realistic multi-component noise model, incorporating 1/ f colored, white, telegraph, and Lorentzian spectral components characteristic of superconducting circuits. It has been demonstrated, through extensive numerical simulations of systems with N = 10 to 18 sites validated by 100 independent noise realizations, that quantum state fidelities of approximately 98.8% have been achieved at evolution time t = 50 τ (where τ = ℏ / J represents the hopping time scale). This performance surpasses both passive topological protection (79.5%–87.5%) and bare qubit evolution (44.6%). The enhancement factor η ( N ) = F hybrid / F topo shows convergent scaling towards ≈1.14, indicating that performance is bounded primarily by measurement uncertainty (15%) and control latency (30 ns). It is indicated by the analysis that active control specifically compensates for the susceptibility of topological systems to spatially correlated noise. These findings suggest that combining complementary protection strategies provides a resource-efficient alternative to full quantum error correction for near-term devices.