Clifford circuits over non-cyclic abelian groups
Quantum Physics
2024-02-22 v1
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.
Keywords
Cite
@article{arxiv.2402.13994,
title = {Clifford circuits over non-cyclic abelian groups},
author = {Milo Moses and Jacek Horecki and Konrad Deka and Jan Tulowiecki},
journal= {arXiv preprint arXiv:2402.13994},
year = {2024}
}
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23 pages, 0 figures