RFL Applications I: Thermal Effects in Quantum Computing

This is the first companion paper to the Relative Field Localization (RFL) framework (RFL v8.0). It presents a thermal analysis of the RFL localization mechanism, applied to the four principal qubit platforms used in contemporary quantum computing: superconducting, trapped ion, NV center, and photonic. In RFL, the quantum state corresponds to an extended charge distribution, and the classical state to a localized Q-ball. Localization is triggered by any physical interaction with the environment. Thermal photons provide a continuous stream of such interactions. The central result is the thermal localization rate: Γ_loc(T) = Γ_loc^vac [1 + n(ω_C, T)] where n(ω_C, T) is the Bose-Einstein occupation number at the Q-ball frequency ω_C. The condition for coherent quantum computation is k_B T ≪ ħ ω_C. A confinement factor η_conf ≪ 1 is introduced to account for the geometric and material suppression of the environmental coupling. This factor explains why some qubit platforms can operate at much higher temperatures than the naive criterion would suggest — for instance, why NV centers retain coherence at room temperature, while superconducting qubits require millikelvin temperatures. The analysis covers the characteristic Q-ball frequency, the Bose-Einstein distribution, the two limiting regimes of deep cooling and high temperature, the cooling criterion, and the application to the four qubit platforms. A physical interpretation of the confinement factor and its origin is also provided. This paper is the first in a series of three companion papers. The other two are:• RFL Applications II: Double-Slit Interference• RFL Applications III: Compton Scattering and the Measurement Mechanism