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arXiv · 2402.13994

Clifford circuits over non-cyclic abelian groups

Milo Moses·Jacek Horecki·Konrad Deka·Jan Tulowiecki
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Abstract

We present a discussion of the generalized Clifford group over non-cyclic finite abelian groups. These Clifford groups appear naturally in the theory of topological error correction and abelian anyon models. We demonstrate a generalized Gottesman-Knill theorem, stating that every Clifford circuit can be efficiently classically simulated. We additionally provide circuits for a universal quantum computing scheme based on local two-qudit Clifford gates and magic states.

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Milo Moses, Jacek Horecki, Konrad Deka, Jan Tulowiecki. 2024-02-21. Clifford circuits over non-cyclic abelian groups. https://arxiv.org/abs/2402.13994

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