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arXiv · 2607.11823

Multiparameter Quantum Estimation in a Raman-Coupled Two-Qubit System

Omar Bachain·Mohamed Amazioug·Rachid Ahl Laamara
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Abstract

We investigate multiparameter quantum estimation in a Raman-coupled two-qubit system at thermal equilibrium. Analytical expressions for the quantum Fisher information matrix are derived to characterize the simultaneous estimation of the temperature and Raman coupling strength. The corresponding quantum Cram\'er--Rao bounds are obtained and compared with those of individual estimation strategies. Our results reveal optimal operating regimes determined by the interplay between thermal fluctuations and coherent interactions. In particular, quantum thermometry exhibits a well-defined optimal temperature window, whereas the estimation of the Raman coupling strength is significantly enhanced in the low-temperature and weak-coupling regime. We further show that simultaneous estimation can outperform independent estimation within appropriate parameter regions, highlighting the advantages of multiparameter quantum metrology. These results provide analytical insights into the ultimate precision limits of Raman-coupled two-qubit systems and identify promising operating regimes for quantum sensing and quantum thermometry.

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Omar Bachain, Mohamed Amazioug, Rachid Ahl Laamara. 2026-07-13. Multiparameter Quantum Estimation in a Raman-Coupled Two-Qubit System. https://arxiv.org/abs/2607.11823

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