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| Auteurs principaux: | , |
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| Format: | Recurso digital |
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Zenodo
2025
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| Accès en ligne: | https://doi.org/10.5281/zenodo.17828666 |
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- <p> This paper systematically verifies the emergence of SU(2)1 non-Abelian topo<br>logical order through three computable criteria: structural stability, information<br> efficiency, and dynamical accessibility. In non-Abelian systems, the traditional<br> topological degeneracy is insufficient to describe information compression efficiency;<br> the quantum dimension must be introduced as the core physical quantity. Numer<br>ical calculations show that for system sizes L ≥ 4, all criteria exceed the threshold<br> (> 0.5), confirming the robustness of non-Abelian topological order. The research<br> further extends the criteria framework to models such as Fibonacci and SU(2)2,<br> revealing the universal role of quantum dimension in topological information encod<br>ing, thereby providing a quantitative theoretical tool for evaluating non-Abelian<br> topological orders and selecting topological quantum computing platforms.</p>