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

• URL: http://arxiv.org/abs/2508.08182v1
• Date: Mon, 11 Aug 2025 17:01:45 GMT
• Title: Fast and efficient long-distance quantum state transfer in long-range spin-$\frac{1}{2}$ models
• Authors: F. Faria, C. C. Nelmes, T. J. G. Apollaro, T. P. Spiller, I. D'Amico,
• Abstract summary: Quantum state transfer is investigated beyond the nearest-neighbour coupling scheme in long spin-$frac12$ linear chains.<n>Exploiting the properties of the next-nearest neighbour Hamiltonian's dispersion relation, an average transfer fidelity above $99%$ can be achieved.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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