Expediting quantum state transfer through the long-range extended XY model

Year: 2026

Authors: Ahuja S., Konar T.K., Lakkaraju L.G.C., Sen A.

Autors Affiliation: A CI Homi Bhabha Natl Inst, Harish Chandra Res Inst, Chhatnag Rd, Prayagraj 211019, India; Jagiellonian Univ Krakow, Inst Theoret Phys, Fac Phys Astron & Comp Sci, Stanis lawa Lojasiewicza St 11, PL-30348 Krakow, Poland; Univ Trento, Pitaevskii BEC Ctr, CNR INO, Via Sommar 14, I-38123 Trento, Italy; Univ Trento, Dipartimento Fis, Via Sommar 14, I-38123 Trento, Italy; Trento Inst Fundamental Phys & Applicat, INFN TIFPA, Trento, Italy.

Abstract: Going beyond short-range interactions, we explore the role of long-range interactions in the extended XY model for transferring quantum states through evolution. In particular, employing a spin-1/2 chain with interactions decaying as a power law, we demonstrate that long-range (LR) interactions significantly enhance the efficiency of a quantum state transfer (QST) protocol, improving the achievable fidelity, mitigating its slow decline as compared with the nearest-neighbor setting, associated with increasing system-size. Our study identifies the LR regime as providing an optimal balance between interaction range and transfer efficiency, outperforming the protocol with the short-range interacting model. Our detailed analysis reveals the impact of system parameters, such as anisotropy, magnetic field strength, and coordination number, on QST dynamics. Specifically, we find that intermediate coordination numbers lead to a faster and more reliable state transfer, while extreme values diminish performance. Furthermore, we exhibit that the presence of LR interactions considerably reduces the minimum time required to achieve fidelity beyond the classical limit.

Journal/Review: PHYSICAL REVIEW A

Volume: 113 (2)      Pages from: 22426-1  to: 22426-12

More Information: We acknowledge the use of the cluster computing facility at the Harish-Chandra Research Institute. This research was supported in part by the INFOSYS scholarship for senior students. We acknowledge support from the project entitled Technology Vertical-Quantum Communication under the National Quantum Mission of the Department of Science and Technology (DST) [Sanction Order No. DST/QTC/NQM/QComm/2024/2 (G)]. L.G.C.L. received funds from project DYNAMITE QU ANTERA2-00056 funded by the Ministry of University and Research through the ERANET COFUND QuantERA II-2021 call and co-funded by the European Union (H2020, GA No 101017733). This work was supported by the Provincia Autonoma di Trento, and Q@TN, the joint laboratory between University of Trento, FBK-Fondazione Bruno Kessler, INFN-National Institute for Nuclear Physics, and CNR-National Research Council. T.K.K. acknowledges the support from the second Swiss Contribution MAPS (Grant No. 230870). The views and opinions expressed are those of the authors only and do not necessarily reflect those of the European Union or the European Commission. Neither the European Union nor the granting authority can be held responsible for them.
KeyWords: Statistical-mechanics; Teleportation; Separability; Efficient; Perfect
DOI: 10.1103/skyr-jmzs