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arXiv · 2508.08182

Fast and efficient long-distance quantum state transfer in long-range spin-$\frac{1}{2}$ models

F. Faria·C. C. Nelmes·T. J. G. Apollaro·T. P. Spiller·I. D'Amico
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Abstract

Quantum state transfer is investigated beyond the nearest-neighbour coupling scheme in long spin-$\frac{1}{2}$ linear chains. Exploiting the properties of the next-nearest neighbour Hamiltonian's dispersion relation, it is shown that with minimal engineering, i.e., an on-site magnetic field on the two end sites and only a few symmetrically-modified end inter-site couplings, an average transfer fidelity above $99\%$ can be achieved. To leading order, the required time scales linearly with the length of the chain. Such a fast, high-quality quantum state transfer is based on the ballistic propagation of the wave packet centred in the linear region of the dispersion relation by means of the on-site magnetic field. At the same time, the wave packet width, modulated by the inter-site couplings at the chain ends, whose values are found via a carefully designed genetic algorithm, is constrained mostly in the linear region of the dispersion relation. Our coupling scheme is shown to hold for arbitrary values of the next-nearest inter-site coupling and can be straightforwardly applied to longer range coupling schemes.

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F. Faria, C. C. Nelmes, T. J. G. Apollaro, T. P. Spiller, I. D'Amico. 2025-08-11. Fast and efficient long-distance quantum state transfer in long-range spin-$\frac{1}{2}$ models. https://doi.org/10.1088/1367-2630%2Fae249f

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