Abstract
We examine the influence of inter-qubit distances and reservoir temperature on the dynamics of the parameter estimation for the qubit systems considering the interaction of dipole-dipole and collective damping effect. We find that the dynamical behaviour and preservation of the parameter estimation-precision is greatly dependent on the qubits distances and the temperature of the reservoir. Moreover, we study the effect of the qubits-distance and temperature of the reservoir on the dynamics of the fidelity and squeezing entropy for atomic systems. The obtained results show how the considered physical model in the quantum measurement theory can be useful to describe and implement realistic experiments with optimal conditions.
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