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- W2991052023 abstract "For any $m ge 1$ and odd prime power $mathtt{q}=mathtt{p}^m$, for $mathtt{q}=2$, and for any $n ge 1$, we show a result of decomposition for Pauli groups $mathcal{P}_{n,mathtt{q}}$ in terms of weak central products. This can be used to describe the underlying structure of Pauli groups on $n$ qudits of dimension $mathtt{q}$ and enables us to identify abelian subgroups of $mathcal{P}_{n,mathtt{q}}$. As a consequence of our main results, we show a similar factorisation for the so--called `lifted' Pauli groups, recently introduced by Gottesman and Kuperberg in the context of error-correcting codes in quantum information theory." @default.
- W2991052023 created "2019-12-05" @default.
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- W2991052023 date "2019-11-22" @default.
- W2991052023 modified "2023-09-27" @default.
- W2991052023 title "Decomposition of Pauli groups via weak central products" @default.
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