שמור ב:
| Main Authors: | , |
|---|---|
| פורמט: | Recurso digital |
| שפה: | |
| יצא לאור: |
Zenodo
2025
|
| נושאים: | |
| גישה מקוונת: | https://doi.org/10.5281/zenodo.17423322 |
| תגים: |
הוספת תג
אין תגיות, היה/י הראשונ/ה לתייג את הרשומה!
|
תוכן הענינים:
- <p>This paper studies the categorification extension of the Gauss-Bonnet theorem<br> within the framework of braid group representations. By introducing the concept<br> of quantum curvature and topological invariants based on braid group representa<br>tions, we establish a generalized Gauss-Bonnet formula applicable to surfaces with<br> anyon excitations. This formula generalizes the Euler characteristic in the classi<br>cal theorem to a quantum Euler characteristic and establishes a direct connection<br> with the number of logical qubits in topological quantum computation through<br> the quantum dimension. The theoretical framework is mathematically rigorous<br> and self-consistent, and physically provides a new geometric description tool for<br> topological quantum computation.</p>