2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/161139In this paper we derive the environmental spectral density for flux, phase and charge qubits when each of them is coupled to an environment with a resonance. From the spectral density we obtain the characteristic spontaneous emission (relaxation) lifetimes $T_1$ for each of these qubits, and show that there is a substantial enhancement of $T_1$ beyond the resonant frequency of the environment.2 pages, 3 figuresSuperconductivitySpectral densities of superconducting qubits with environmental resonancestext