https://doi.org/10.1140/epjd/s10053-025-01038-2
Regular Article - Quantum Information
Bipartite entropic uncertainty and entanglement dynamics in triangular qubit spin networks under irregular magnetic fields with intrinsic decoherence
1
Department of Mathematical sciences, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, 11671, Riyadh, Saudi Arabia
2
Physics Department, Faculty of Science, Al-Azhar University, 71524, Assiut, Egypt
3
Department of Mathematics, College of Science and Humanities in Al-Aflaj, Prince Sattam bin Abdulaziz University, Al-Kharj, Saudi Arabia
Received:
13
April
2025
Accepted:
1
July
2025
Published online:
25
July
2025
Motivated by the prospect of triangular spin cells for quantum information processing, we propose a model featuring spin–orbit interactions on the rungs and magnetic field effects along the legs. Quantum memory can enhance measurement precision for two incompatible observables in the physical system. In this work, we have examined the dynamics of entropic uncertainty and pairwise entanglement for a system of three-spin 
particles interacting with a quantum memory in the presence of intrinsic decoherence and a non-uniform magnetic field. We employ logarithmic negativity to measure entanglement and study its evolution in a non-uniform magnetic field and decoherence. In addition, we examine and evaluate the operation of the entropic uncertainty relation for non-commuting observables in the three-spin system, analyzing its behavior under identical circumstances. According to the study, entropic uncertainty increases and entanglement decays due to intrinsic decoherence, whereas non-uniform magnetic fields produce complex entanglement patterns. Notably, entanglement and entropic uncertainty can display synchronized oscillatory behavior in specific situations, indicating possible approaches to alleviate decoherence in quantum memories. The fundamental characteristics and constraints of quantum memories are better understood thanks to this work, which also highlights how crucial it is to consider realistic environmental effects when creating quantum technologies.
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© The Author(s), under exclusive licence to EDP Sciences, SIF and Springer-Verlag GmbH Germany, part of Springer Nature 2025
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
