Fisher information of two superconducting charge qubits under dephasing noisy

TL;DR

This paper investigates how dephasing noise affects the Fisher information in a two-qubit superconducting system, revealing how initial energy influences parameter estimation accuracy.

Contribution

It analyzes the Fisher information dynamics in a two-qubit system under dephasing, highlighting the dependence on initial parameters and energy levels.

Findings

Fisher information bounds increase with initial energy for dephasing parameter

Fisher information bounds decrease with initial energy for coupling parameter

Estimation accuracy depends on initial parameter values

Abstract

The dynamics of a charged two-qubit system prepared initially in a maximum entangled state is discussed, where each qubit interacts independently with a dephasing channel. The Fisher information is used to estimate the channel and the energy parameters. Moreover, the contribution from different parts of Fisher information is discussed. We show that, the degree of estimation of any parameter depends on the initial value of this parameter. It turns out that the upper bounds of Fisher information with respect to the dephasing parameter increase and that corresponding to coupling parameter decreases as the initial energy of each qubit increases.