Modeling Charge Noise in Superconducting Qubits Using Memory Multi-Fractional Brownian Motion

Abstract: We introduce a novel stochastic model for charge noise in superconducting charge qubits based on memory multi-fractional Brownian motion (mmfBm), capable of capturing non-stationary and long-memory effects. This framework reproduces key experimental features of decoherence and offers new insights into environmental interactions with superconducting quantum devices.