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arXiv · 2304.09124

A Concrete Model for the Quantum Permutation Group on 4 Points

Nicolas Faroß·Moritz Weber
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Abstract

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 $S_4^+$.

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Nicolas Faroß, Moritz Weber. 2023-04-18. A Concrete Model for the Quantum Permutation Group on 4 Points. https://doi.org/10.1080/10586458.2024.2337232

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