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Quantum Information Processing

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

  • 01-03-2025
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Author
Manoj G. Gowda
Published in
Quantum Information Processing | Issue 3/2025

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Abstract

The article presents a deep dive into the construction and manipulation of domino twists in color codes, a class of topological codes crucial for quantum computation. It introduces the concept of domino twists, which permute charge and color labels of anyons, and provides a systematic method for their creation and movement within a lattice. The study explores the unique properties of domino twists, including their ability to host non-Abelian anyons and their role in implementing logical Clifford gates through braiding. The article also presents innovative protocols for logical measurements in color codes with domino twists, adapting existing methods to suit the non-CSS nature of these codes. Furthermore, it maps color codes with domino twists to the Ising anyon model, providing a framework for analyzing braiding rules and implementing quantum gates. The research offers a comprehensive analysis of domino twists, filling a gap in the literature and paving the way for future advancements in quantum error correction and computation.
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Title
Color codes with domino twists: construction, logical measurements, and computation
Author
Manoj G. Gowda
Publication date
01-03-2025
Publisher
Springer US
Published in
Quantum Information Processing / Issue 3/2025
Print ISSN: 1570-0755
Electronic ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-025-04703-y
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