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Impact of non-Markovianity on quantum precision and synchronization in open quantum systems

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  • Gaidi, Safae
  • Slaoui, Abdallah
  • EL Falaki, Mohammed
  • Ahl Laamara, Rachid

Abstract

Understanding and mitigating the effects of environmental noise is a key challenge in quantum information processing. Non-Markovian dynamics, characterized by memory effects and information backflow, present opportunities to enhance quantum precision and control. In this work, we focus on quantifying and utilizing non-Markovianity to improve parameter estimation in a qubit interacting with a reservoir composed of quantized modes of a high-Q cavity. By employing distinguishability measures, we systematically evaluate the degree of non-Markovianity and its impact on quantum evolution. To refine our analysis, we integrate the Quantum Fisher Information (QFI) and the Hilbert–Schmidt Speed (HSS) as key indicators of estimation precision and dynamical evolution speed. Our findings demonstrate that by tuning system parameters such as detuning and coupling strength, non-Markovian effects can be modulated, enhancing parameter estimation accuracy and the resilience of quantum operations. Additionally, we investigate the role of non-Markovianity in quantum synchronization, employing the Husimi Q-function to visualize and quantify phase locking in open quantum systems. Importantly, we provide a detailed analysis of the interplay between QFI, HSS, and the Husimi Q-function, highlighting how these standard tools complement each other in a well-defined qubit–cavity model. We further clarify the impact of initial-state parameters on synchronization and estimation, showing how larger initial coherence amplifies the sensitivity to memory effects. These results reveal practical strategies for leveraging environmental memory to optimize quantum sensing, control, and error correction.

Suggested Citation

  • Gaidi, Safae & Slaoui, Abdallah & EL Falaki, Mohammed & Ahl Laamara, Rachid, 2026. "Impact of non-Markovianity on quantum precision and synchronization in open quantum systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 681(C).
    • Handle: RePEc:eee:phsmap:v:681:y:2026:i:c:s0378437125007812
    DOI: 10.1016/j.physa.2025.131129
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    References listed on IDEAS

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    1. Gaidi, Safae & Slaoui, Abdallah & EL Falaki, Mohammed & Ahl Laamara, Rachid, 2025. "A non-Markovianity measure based on quantum speed limit," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 674(C).
    2. Dahbi, Zakaria & Rahman, Atta Ur & Mansour, Mostafa, 2023. "Skew information correlations and local quantum Fisher information in two gravitational cat states," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 609(C).
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