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A non-Markovianity measure based on quantum speed limit

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

Abstract

The quantum speed limit sets a fundamental bound on the speed at which quantum states can evolve and is commonly regarded as a manifestation of the time-energy uncertainty relation. In contrast, non-Markovian dynamics arise in open quantum systems when past interactions with the environment influence the system’s evolution. Establishing connections between these two concepts is a key challenge in quantum information science. By leveraging the relationship between non-Markovianity and Bures distance metrics, we propose a novel approach to quantify non-Markovianity through quantum speed limit. This method incorporates the impact of the quantum speed limit time on non-Markovian dynamics. As applications, we analyze the Jaynes–Cummings and damped Jaynes–Cummings models, demonstrating how system-environment interactions shape non-Markovian behavior. Our results reveal that the non-Markovian character of these processes is strongly correlated with a reduction in the quantum speed limit time, signifying a speedup in quantum evolution.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:phsmap:v:674:y:2025:i:c:s0378437125003851
    DOI: 10.1016/j.physa.2025.130733
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    References listed on IDEAS

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    1. Abouelkhir, N. & EL Hadfi, H. & Slaoui, A. & Ahl Laamara, R., 2023. "A simple analytical expression of quantum Fisher and Skew information and their dynamics under decoherence channels," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 612(C).
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    1. 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).

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