https://doi.org/10.1140/epjp/s13360-023-04820-6
Regular Article
Which spin ladders are the most effective at transferring entanglements: two-legs or honeycombs!?
1
Faculty of Physics, Shahid Bahonar University of Kerman, 76169-13439, Kerman, Iran
2
Department of Physics, Sharif University of Technology, 11365-9161, Tehran, Iran
3
Department of Physics, University of Guilan, 41335-1914, Rasht, Iran
4
Department of Mathematics, Faculty of Science, Assiut University, Assiut, Egypt
5
Department of Mathematics, College of Science and Humanities in Al-Aflaj, Prince Sattam bin Abdulaziz University, Al-Kharj, Saudi Arabia
6
Mathematics Department, Faculty of Science, Al-Azhar University, 71524, Assiut, Egypt
Received:
26
March
2023
Accepted:
21
December
2023
Published online:
4
January
2024
This article discusses the potential engineering of entanglement propagation through two forms of spin ladders. In fact, future advances in quantum information will likely be guided by knowledge of quantum materials such as quantum spin systems, as was the case with the development of classical information technology throughout the previous century. Information transfer is a key use of spin systems, which are characterized by their reduced dimension. Spin ladders are a type of low-dimensional spin systems that exhibit interesting behavior between the extremes of one-dimensional chain and two-dimensional plane. The current work is dedicated to analyzing the performance of such structures in the field of quantum state transfer (QST). The purpose of this study was attained by paying attention to the dynamical behavior of entanglement and its measure (concurrence) in these systems, as this method permits an extensive understanding of the QST process. So that the signature of QST scenarios can be identified through the lens of concurrence propagation. Then, the configuration’s efficiency in the QST procedure is established by comparing the behavior of this measure as time passed in the two selected ladders. The optimal condition for the transfer of an entangled state is that the value of the concurrence function reaches unity for the target qubits at the certain time instants. Furthermore, the findings from both systems indicate the necessity of employing supplementary qubits in order to achieve a complete QST. In comparison with the inter-ladder interactions of qubits, the interactions between auxiliary qubits and the structure (intra-ladder interactions) must have comparatively weaker strength to enhance QST’s quality. The explanation for this phenomena is attributed to the notion of monogamy rule. In addition, it can be concluded that honeycomb ladders have a favorable QST process than two-leg ladders. Furthermore, we found that the larger sizes of systems need a higher amount of relative interactions to accomplish more effective transmission. Two-leg ladders, on the other hand, are more sensitive to increasing the system size.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024. 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.
