Color codes with domino twists: Construction, logical measurements, and computation

Fuente: arXiv
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Main Author: Gowda, Manoj G.
Format: Preprint
Published: 2024
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author Gowda, Manoj G.
author_facet Gowda, Manoj G.
contents Twists are defects that are used to encode and process quantum information in topological codes like surface and color codes. Color codes can host three basic types of twists viz., charge-permuting, color-permuting and domino twists. In this paper, we study domino twists from the viewpoint of computation. Specifically, we give a systematic construction for domino twists in qubit color codes. We also present protocols for measurement of logical qubits. Finally, we show that all Clifford gates can be implemented by braiding twists.
format Preprint
id arxiv_https___arxiv_org_abs_2411_05402
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Color codes with domino twists: Construction, logical measurements, and computation
Gowda, Manoj G.
Quantum Physics
Twists are defects that are used to encode and process quantum information in topological codes like surface and color codes. Color codes can host three basic types of twists viz., charge-permuting, color-permuting and domino twists. In this paper, we study domino twists from the viewpoint of computation. Specifically, we give a systematic construction for domino twists in qubit color codes. We also present protocols for measurement of logical qubits. Finally, we show that all Clifford gates can be implemented by braiding twists.
title Color codes with domino twists: Construction, logical measurements, and computation
topic Quantum Physics
url https://arxiv.org/abs/2411.05402