The Essence of Emergent Origins B: Verification of Non-Abelian Topological Order Emergence Based on Three Criteria
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2025
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| _version_ | 1866901716396408832 |
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| author | zhou, changzheng zhou, ziqing |
| author_facet | zhou, changzheng zhou, ziqing |
| contents | <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> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_17788683 |
| institution | Zenodo |
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| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | The Essence of Emergent Origins B: Verification of Non-Abelian Topological Order Emergence Based on Three Criteria zhou, changzheng zhou, ziqing Non-Abelian Topological Order; Emergence Criteria; Structural Stability; Information Efficiency; Dynamical Accessibility; Quantum Dimension <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> |
| title | The Essence of Emergent Origins B: Verification of Non-Abelian Topological Order Emergence Based on Three Criteria |
| topic | Non-Abelian Topological Order; Emergence Criteria; Structural Stability; Information Efficiency; Dynamical Accessibility; Quantum Dimension |
| url | https://doi.org/10.5281/zenodo.17788683 |