FibonacciAnyons — model index
Non-Abelian Fibonacci anyon model.
τ × τ = 1 + τ
d_1 = 1, d_τ = φ = (1 + √5)/2 (golden ratio).
𝒟 = √(d_1² + d_τ²) = √(1 + φ²) = √(φ + 2)Generated by docs/atlas/generate.jl — a pure VIEW over the *_registry.jl claims + the static test/INVENTORY.jsonl AST scan. No test is executed and no src is run; test/INVENTORY.jsonl is regenerated in-place (idempotently) from that static scan; fetch/@register untouched. Assurance labels are PROVISIONAL: residuals / confidence are not shown yet (RES not wired). Badges reflect the committed test AST, not the latest CI run — a hub can read green while its @test is red between regenerations. @sweep = a graceful regime-resolution gap, not card omission.
All (Quantity, BC) hubs src claims for FibonacciAnyons. Cells link to the per-hub card; — = not yet implemented at that BC. The shape of the matrix is the gap visualisation: empty cells are where physics could be added next.
Convention
| Field | Value |
|---|---|
| Hamiltonian | Stabilizer / operator product |
| Observable | Operator-product expectations (Wilson loops, GSD, TEE, S-matrix entries); convention-free |
| Reference | docs/src/conventions.md §Topological / operator-product |
Coverage
| Level | Count |
|---|---|
| 🟣 universality-corroborated | 0 |
| 🟢 corroborated-at-p | 1 |
| 🔵 coherent | 0 |
| ⚪ cited-only | 0 |
| 🟠 uncorroborated-but-feasible | 0 |
| total claimed hubs | 1 |
This model is in ED_INFEASIBLE_MODELS (true 2D / frontier). Its cited-only hubs are the published ceiling, not an actionable gap.
Methods (from @register, derived): analytic
Quantity × BC matrix
| Quantity | Infinite |
|---|---|
TopologicalEntanglementEntropy | 🟢 hub |
References
Papers cited by this model's @register cards. The full numbered list is on the Reference List.
- [74]
- M. Freedman, A. Kitaev, M. Larsen and Z. Wang. Topological quantum computation. Bulletin of the American Mathematical Society 40, 31–38 (2002).
- [75]
- A. Kitaev and J. Preskill. Topological Entanglement Entropy. Physical Review Letters 96 (2006).
- [76]
- N. Read and E. Rezayi. Beyond paired quantum Hall states: Parafermions and incompressible states in the first excited Landau level. Physical Review B 59, 8084–8092 (1999).