Quantum Metrology in the Presence of Quantum Oscillations

In this paper, we address the quantum estimation problem in the presence of quantum oscillations, which occur due to the use of the pulse technique when applied to two dissimilar superconducting qubits coupled by a fixed capacitor. This dissimilarity of the qubits is due to the arrangement of the Josephson junctions in the two qubits circuits. Investigating and detuning the performance improvement parameters of this system plays an important role in the design and construction of quantum circuits, especially Josephson parametric amplifiers (JPAs). To improve quantum metrology in this system, we use the quantum Fisher information (QFI) and the Hilbert-Schmidt speed (HSS) as tools for quantum estimation. The remarkable result is that the quantum estimation can be improved even in the presence of quantum oscillations.