Measurement-based quantum computation on weighted graph states with arbitrarily small weight
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866915646903681024 |
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| author | Yamazaki, Tomohiro Takeuchi, Yuki |
| author_facet | Yamazaki, Tomohiro Takeuchi, Yuki |
| contents | Weighted graph states are a natural generalization of graph states, which are generated by applying controlled-phase gates, instead of controlled-Z gates, to a separable state. In this paper, we show that uniformly weighted graph states on a suitable planar graph constitute universal resources for measurement-based quantum computation for an arbitrary nonzero constant weight. To our knowledge, this is the first example of universal resources prepared with only non-maximally entangling gates and has potential applications to weakly interacting systems, such as photonic systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_01327 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Measurement-based quantum computation on weighted graph states with arbitrarily small weight Yamazaki, Tomohiro Takeuchi, Yuki Quantum Physics Weighted graph states are a natural generalization of graph states, which are generated by applying controlled-phase gates, instead of controlled-Z gates, to a separable state. In this paper, we show that uniformly weighted graph states on a suitable planar graph constitute universal resources for measurement-based quantum computation for an arbitrary nonzero constant weight. To our knowledge, this is the first example of universal resources prepared with only non-maximally entangling gates and has potential applications to weakly interacting systems, such as photonic systems. |
| title | Measurement-based quantum computation on weighted graph states with arbitrarily small weight |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2512.01327 |