Boundary-Geometry Stabilization of Superconducting Qubits Under Rapid Relaxation Fluctuations

Superconducting qubit relaxation rates are known to fluctuate on millisecond timescales due to time-varying system–environment couplings. Standard characterisation methods average over these fluctuations, obscuring regime transitions in effective coherence. This work introduces a task-calibrated boundary-geometry formulation of qubit stability in which the time-dependent decoherence-per-gate ratio ρ(t) defines a stability margin relative to a declared performance threshold ρ*. A threshold-conditional scheduling policy is derived that parks computation when the stability margin becomes negative. Ensemble stochastic telegraph simulations (N = 200 accepted realisations) demonstrate 78.7% per-gate error reduction…