The surface code on the rhombic dodecahedron
Andrew J. Landahl
TL;DR
This paper introduces a novel quantum surface code based on a rhombic dodecahedron geometry, expanding the possibilities for topological quantum error correction.
Contribution
It presents a new non-CSS surface code with specific parameters, utilizing a rhombic dodecahedron structure for quantum error correction.
Findings
Defines a $[[14, 3, 3]]$ non-CSS surface code
Uses rhombic dodecahedron geometry for code construction
Provides a new approach to topological quantum codes
Abstract
I present a jaunty little non-CSS surface code that can be described using a rhombic dodecahedron. Do with it what you will.
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Taxonomy
TopicsCoding theory and cryptography · Quantum Computing Algorithms and Architecture · Algebraic structures and combinatorial models