Unveiling non-classical correlations, quantum coherence, and steering measurement uncertainty in two-qubit XY-Γ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$XY-\Gamma$$\end{document} spin model

The potential of spin-based quantum devices in quantum information processing (QIP) is continuously expanding. Recent models with off-diagonal couplings offer new opportunities to explore quantum phenomena in condensed matter. Non-classical correlations (NCCs), quantum coherence (QC) based on Jensen–Shannon divergence (JSD), the entropic uncertainty relation (EUR), and mixedness are crucial concepts in QIP. Understanding their dynamics in condensed matter systems has practical implications for QIP. In this regard, we explore the influence of temperature, off-diagonal exchange couplings, and the magnetic field on the NCCs, QC, EUR, and mixedness of a two-qubit XY-Γ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$XY-\Gamma$$\end{document} spin chain in thermal equilibrium. We find that NCCs exhibit sudden transitions with a smooth change in the system parameters, whereas QC does not. The off-diagonal exchange couplings significantly enhance both NCCs and QC in the system, while the temperature and the transverse field tend to counteract this enhancement. As the temperature increases, the EUR expands, and mixedness increases. The EUR reaches its peak when mixedness is at its highest. The off-diagonal interaction reduces entropic uncertainty, and increasing its amplitude Γ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\Gamma$$\end{document} offsets the adverse effects of temperature and the magnetic field. Besides, we propose a comprehensive and effective strategy using the filtering operation to manipulate measurement uncertainty. Although the local non-unitary operation is selectively applied to qubit A, it immediately affects the memory qubit B, limiting the transfer of information from qubit A to qubit B in quantum communication protocols. However, by properly controlling the two-qubit XY-Γ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$XY-\Gamma$$\end{document} system parameters and fine-tuning the strength of the filtering operation parameter, it is possible to reduce measurement uncertainty and facilitate the transfer of information from qubit A to qubit B.