Protected score
87.7uncertainty-ready compositeApplied topological control · research prototype v0.1
Design qutrit gates that survive a hostile world.
An AI-assisted simulator for testing local SU(3) holonomies against curvature, hydrodynamic forcing, and open-system leakage—built around Charles Grimm’s exact Rodrigues kernel.
01Reynoldsvorticity field→
02Noethercharge audit→
03Rodriguesexact exp(S)→
04Cayleystable transport→
05Braidgate + falsifiers
Interactive control room
Stress-test one protected gate
All calculations run locally in your browser. No cloud quantum hardware and no hidden fit parameters.
RUN · TG-3Q-81426
Hydrodynamic holonomy field
S³ = −θ²S · Tr S = 0
+ vorticity − vorticity σ₁ σ₂
Gate fidelity
90.56%target fourierCode survival
99.28%central U(1) probabilityBraid residual
0.1678‖σ₁σ₂σ₁−σ₂σ₁σ₂‖Wilson deficit
2.14e-81 − Re Tr U□ / 3Cubic residual
7.18e-20Rodrigues closure auditAI control layer
Search for a gate, then challenge it.
The cross-entropy engine learns a distribution over braid coupling, Cayley gain, path skew, and SU(3) mixing. Every candidate is scored across three forcing phases, penalizing brittle solutions.
252candidate policies3×uncertainty ensemble—generations
Robust-search convergencebest population
Run AI robust search to compare candidate controls.
Before 87.7→Current 87.7+0.0
Auditable mathematics
The SU(3) formula is the executable kernel.
Every local generator lies on the adjoint orbit of iθ diag(1,0,−1), guaranteeing the cubic minimal polynomial used by the exact quadratic exponential.
GRIMM · PLANAR SU(3) RODRIGUES KERNEL
eS = I3 + sin θ / θ S + (1 − cos θ) / θ² S²
S ∈ su(3) · S† = −S · tr S = 0 · S³ = −θ²S
Representative generator S3 × 3 complex
0.00+0.00i0.00+0.01i0.00−0.01i0.00+0.01i0.00+0.02i0.00−0.01i0.00−0.01i0.00−0.01i0.00−0.02iCompiled gate Uprogram3 × 3 complex
0.53−0.13i0.75−0.08i0.37−0.03i0.54−0.18i-0.20+0.36i-0.40−0.59i0.55+0.28i-0.18−0.48i-0.40+0.44iInvariant ledgerlive audit
Trace-free generator
3.47e-18PASSCubic minimal polynomial
7.18e-20PASSUnitarity defect
8.77e-15PASSNoether energy mismatch
0.0427PASS“Pass” verifies a numerical identity inside this model. It is not evidence that a physical anyon platform realizes the assumed generator.
Central channel
⊕U(1) probability
99.280%Tracks qutrit code-space survival and exposes leakage.
Trace-free channel
SU(3) holonomy
90.564%Carries gate geometry and local Wilson deficits.
Falsifiability first
What the prototype does—and does not—establish.
A hypothesis engine and control benchmark, not a completed microscopic theory.
Verified in code
- Anti-Hermitian trace-free generators
- Cubic closure and exact Rodrigues exponential
- Cayley unitarity
- Braid and Wilson diagnostics
Model assumptions
- Taylor–Green hydrodynamic testbed
- Circulation-to-generator calibration
- Phenomenological leakage
- Local—not unrestricted—holonomy
Needs external validation
- Specific non-Abelian anyon platform
- Hardware-calibrated qutrit controls
- Predictive Standard Model fit
- Advantage over established compilers
Why this problem, now