Fast and efficient long-distance quantum state transfer in long-range spin-$\frac{1}{2}$ models
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arXiv
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| Auteurs principaux: | , , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866915652555505664 |
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| author | Faria, F. Nelmes, C. C. Apollaro, T. J. G. Spiller, T. P. D'Amico, I. |
| author_facet | Faria, F. Nelmes, C. C. Apollaro, T. J. G. Spiller, T. P. D'Amico, I. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_08182 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Fast and efficient long-distance quantum state transfer in long-range spin-$\frac{1}{2}$ models Faria, F. Nelmes, C. C. Apollaro, T. J. G. Spiller, T. P. D'Amico, I. Quantum Physics Other Condensed Matter Computational Physics 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. |
| title | Fast and efficient long-distance quantum state transfer in long-range spin-$\frac{1}{2}$ models |
| topic | Quantum Physics Other Condensed Matter Computational Physics |
| url | https://arxiv.org/abs/2508.08182 |