Characterization of randomness in quantum circuits of continuous gate sets
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arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866908354985590784 |
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| author | Mitsuhashi, Yosuke Suzuki, Ryotaro Soejima, Tomohiro Yoshioka, Nobuyuki |
| author_facet | Mitsuhashi, Yosuke Suzuki, Ryotaro Soejima, Tomohiro Yoshioka, Nobuyuki |
| contents | In the accompanying paper of arXiv:2408.13472, we have established the method of characterizing the maximal order of asymptotic unitary designs generated by symmetric local random circuits, and have explicitly specified the order in the cases of $\mathbb{Z}_2$, U(1), and SU(2) symmetries. Here, we provide full details on the derivation of the main theorems for general symmetry and for concrete symmetries. Furthermore, we consider a general framework where we have access to a finite set of connected compact unitary subgroups, which includes symmetric local unitary gate sets. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_13475 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Characterization of randomness in quantum circuits of continuous gate sets Mitsuhashi, Yosuke Suzuki, Ryotaro Soejima, Tomohiro Yoshioka, Nobuyuki Quantum Physics Statistical Mechanics In the accompanying paper of arXiv:2408.13472, we have established the method of characterizing the maximal order of asymptotic unitary designs generated by symmetric local random circuits, and have explicitly specified the order in the cases of $\mathbb{Z}_2$, U(1), and SU(2) symmetries. Here, we provide full details on the derivation of the main theorems for general symmetry and for concrete symmetries. Furthermore, we consider a general framework where we have access to a finite set of connected compact unitary subgroups, which includes symmetric local unitary gate sets. |
| title | Characterization of randomness in quantum circuits of continuous gate sets |
| topic | Quantum Physics Statistical Mechanics |
| url | https://arxiv.org/abs/2408.13475 |