A Concrete Model for the Quantum Permutation Group on 4 Points
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866917669258657792 |
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| author | Faroß, Nicolas Weber, Moritz |
| author_facet | Faroß, Nicolas Weber, Moritz |
| contents | In 2019, Jung-Weber gave an example of a concrete magic unitary $M$, which defines a $C^*$-algebraic model of the quantum permutation group $S_4^+$. We show with the help of a computer that there exist no polynomials up to degree $50$ separating the entries of $M$ from the generators of $C(S_4^+)$. This indicates that the magic unitary $M$ might already define a faithful model of $S_4^+$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_09124 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A Concrete Model for the Quantum Permutation Group on 4 Points Faroß, Nicolas Weber, Moritz Quantum Algebra In 2019, Jung-Weber gave an example of a concrete magic unitary $M$, which defines a $C^*$-algebraic model of the quantum permutation group $S_4^+$. We show with the help of a computer that there exist no polynomials up to degree $50$ separating the entries of $M$ from the generators of $C(S_4^+)$. This indicates that the magic unitary $M$ might already define a faithful model of $S_4^+$. |
| title | A Concrete Model for the Quantum Permutation Group on 4 Points |
| topic | Quantum Algebra |
| url | https://arxiv.org/abs/2304.09124 |