Work

Clifford circuits over non-cyclic abelian groups

Year: 2024

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2402.13994

Authors: Moses, Milo, Horecki, Jacek, Deka, Konrad, Tulowiecki, Jan

Institutions: University of California, Santa Barbara, Jagiellonian University

Language: English

Topic: Quantum Computing Algorithms and Architecture

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4392118232

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