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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2409.08180 |
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| _version_ | 1866917797268815872 |
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| author | Lyu, Xingjian Bu, Kaifeng |
| author_facet | Lyu, Xingjian Bu, Kaifeng |
| contents | We define fermionic convolution and demonstrate its utility in characterizing fermionic non-Gaussian components, which are essential to the computational advantage of fermionic systems. Using fermionic convolution, we propose an efficient protocol that tests the fermionic Gaussianity of pure states using three copies of the input state. We also introduce "Non-Gaussian Entropy," an experimentally accessible resource measure that quantifies fermionic non-Gaussianity. These results provide new insights into the study of fermionic quantum computation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_08180 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Fermionic Gaussian Testing and Non-Gaussian Measures via Convolution Lyu, Xingjian Bu, Kaifeng Quantum Physics Computational Complexity Mathematical Physics We define fermionic convolution and demonstrate its utility in characterizing fermionic non-Gaussian components, which are essential to the computational advantage of fermionic systems. Using fermionic convolution, we propose an efficient protocol that tests the fermionic Gaussianity of pure states using three copies of the input state. We also introduce "Non-Gaussian Entropy," an experimentally accessible resource measure that quantifies fermionic non-Gaussianity. These results provide new insights into the study of fermionic quantum computation. |
| title | Fermionic Gaussian Testing and Non-Gaussian Measures via Convolution |
| topic | Quantum Physics Computational Complexity Mathematical Physics |
| url | https://arxiv.org/abs/2409.08180 |