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

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Abstract

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 (\(\mathcal {QMA-EUR}\)), considering the influence of the thermal environment and Rashba spin–orbit coupling. Our findings reveal a monotonic increase in \(\mathcal {QMA-EUR}\) 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.

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Acknowledgements

M.O. acknowledges the financial support provided by the Moroccan National Center for Scientific and Technical Research (CNRST) under the Program of Excellence Grants for Research.

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Authors and Affiliations

  1. Laboratory of High Energy Physics and Condensed Matter, Department of Physics, Faculty of Sciences of Ain Chock, Hassan II University, P.O. Box 5366, 20100, Maarif, Casablanca, Morocco

    M. Oumennana & M. Mansour

  2. International Center for Theoretical Physics (ICTP), Strada Costiera 11, 34151, Trieste, Italy

    Z. Dahbi

  3. Scuola Internazionale Superiore di Studi Avanzati, via Bonomea, 265-34136, Trieste, Italy

    Z. Dahbi

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  1. M. Oumennana
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MM has put forward the idea of the manuscript. ZD performed the computations and graphical tasks. MO has interpreted the results. All authors have contributed to writing the manuscript. MM supervised the findings of this work. All authors have reviewed and agreed to the final version of the manuscript.

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Correspondence to M. Oumennana.

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Oumennana, M., Dahbi, Z. & Mansour, M. Coherence versus quantum-memory-assisted entropic uncertainty relation of double quantum dots with Rashba spin–orbit interaction. Quantum Inf Process 23, 114 (2024). https://doi.org/10.1007/s11128-024-04325-w

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