Encoding computationally hard problems in triangular Rydberg atom arrays
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866912676020486144 |
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| author | Pan, Xi-Wei Zhou, Huan-Hai Lu, Yi-Ming Liu, Jin-Guo |
| author_facet | Pan, Xi-Wei Zhou, Huan-Hai Lu, Yi-Ming Liu, Jin-Guo |
| contents | Rydberg atom arrays are a promising platform for quantum optimization, encoding computationally hard problems by reducing them to independent set problems with unit-disk graph topology. In Nguyen et al., PRX Quantum 4, 010316 (2023), a systematic and efficient strategy was introduced to encode multiple problems into a special unit-disk graph: the King's subgraph. However, King's subgraphs are not the optimal choice in two dimensions. Due to the power-law decay of Rydberg interaction strengths, the approximation to unit-disk graphs in real devices is poor, necessitating post-processing that lacks physical interpretability. In this work, we develop an encoding scheme that can universally encode computationally hard problems on triangular lattices, based on our innovative automated gadget search strategy. Numerical simulations demonstrate that quantum optimization on triangular lattices reduces independence-constraint violations by approximately two orders of magnitude compared to King's subgraphs, substantially alleviating the need for post-processing in experiments. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_25249 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Encoding computationally hard problems in triangular Rydberg atom arrays Pan, Xi-Wei Zhou, Huan-Hai Lu, Yi-Ming Liu, Jin-Guo Quantum Physics Disordered Systems and Neural Networks Quantum Gases Atomic Physics Rydberg atom arrays are a promising platform for quantum optimization, encoding computationally hard problems by reducing them to independent set problems with unit-disk graph topology. In Nguyen et al., PRX Quantum 4, 010316 (2023), a systematic and efficient strategy was introduced to encode multiple problems into a special unit-disk graph: the King's subgraph. However, King's subgraphs are not the optimal choice in two dimensions. Due to the power-law decay of Rydberg interaction strengths, the approximation to unit-disk graphs in real devices is poor, necessitating post-processing that lacks physical interpretability. In this work, we develop an encoding scheme that can universally encode computationally hard problems on triangular lattices, based on our innovative automated gadget search strategy. Numerical simulations demonstrate that quantum optimization on triangular lattices reduces independence-constraint violations by approximately two orders of magnitude compared to King's subgraphs, substantially alleviating the need for post-processing in experiments. |
| title | Encoding computationally hard problems in triangular Rydberg atom arrays |
| topic | Quantum Physics Disordered Systems and Neural Networks Quantum Gases Atomic Physics |
| url | https://arxiv.org/abs/2510.25249 |