Parameter Estimation and Squeezing of Superconducting Qubits in the Presence of Intrinsic Decoherence

In systems of two coupled superconducting qubits (SQ), we examine the time evolution of parameter estimation, fidelity, and entropy squeezing under the influence of intrinsic decoherence. We show how the physical parameters of the model can be used to control the evolution of these quantum quantifiers. The impacts of the two-qubit coupling are investigated. We demonstrate that the amount of Fisher information can yield a steady value that illustrates the Fisher-information trapping phenomenon. Furthermore, we explore the dynamics of the fidelity of the SQ state and explain the dependence of the parameter estimation precision on the evolution of the system state. In addition, we investigate the squeezing behavior of SQ-system entropy in the context of decoherence and discuss its dependence on the parameter estimation precision. The results obtained show how the consideration of the physical model here in terms of quantum measurements can be beneficial for description and implementation of realistic experiments under optimum conditions.