Study of quantum Fisher information matrix and multiparameter estimation for an atomic-field system
Laboratory of R and D in Engineering Sciences, Faculty of Sciences and Techniques Al-Hoceima, Abdelmalek Essaadi University, Tetouan, Morocco
Accepted: 23 January 2023
Published online: 1 February 2023
Multiparameter quantum estimation substantial topic in quantum estimation theory due to its significant applications. Indeed, quantum Fisher information matrix and multiparameter quantum Cramér-Rao bound are the key concepts in quantum metrology disclosed broad relevance between quantum estimation theory and quantum information theory. In this paper, we address a task of studying the multiparameter estimation by means of quantum Fisher information matrix of a single atomic-field state using Jaynes-Cummings model. It involves solving the dynamics of a two-level atom interacted with a single mode of electromagnetic field in the non-resonance case. The outcomes show that one can estimate simultaneously the number of photons inside the cavity, the mean number of photons, dimensionless detuning parameter and dimensionless time parameter. We also proved that small values of the average numbers of photons as well as robust values of the detuning and the number of photons inside the cavity permits to enhance the sensitivity of the atomic-field state.
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