Coherence versus quantum-memory-assisted entropic uncertainty relation of double quantum dots with Rashba spin-orbit interaction

Gaining insight into nanostructure devices represents a crucial step in unlocking their full quantum potential. Solid-state quantum dots provide a practical and scalable foundation for accommodating qubits, which are essential for quantum information processing. In this context, we introduce a model involving a pair of qubits within a double quantum dot configuration. We extensively investigate its quantum coherence and the quantum-memory-assisted entropic uncertainty relation (QMA-EUR\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathcal {QMA-EUR}$$\end{document}), considering the influence of the thermal environment and Rashba spin-orbit coupling. Our findings reveal a monotonic increase in QMA-EUR\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathcal {QMA-EUR}$$\end{document} with rising temperatures (T), while the Jensen-Shannon coherence consistently decreases as T increases. Furthermore, fine-tuning the Rashba coupling can enhance the system's coherence and reduce measurement uncertainty. We show that obtaining higher measurement precisions is achievable when the two-qubit system, made up of the double quantum dots with Rashba interaction, demonstrates higher levels of coherence. Additionally, we demonstrate that adjusting other Hamiltonian parameters offers advantages in preserving quantum resources. These reported results indicate promising prospects for developing quantum technologies that leverage such a quantum dot system.