Mathematics#
The equations behind every model in Quantum Mind, written in the form the code computes them. Each page names the class or function that implements each equation, so the mathematics, the model atlas diagrams and the API reference can be read side by side.
flowchart LR
accTitle: Mathematics, diagram 1
accDescr: The core rules feed the quantum-like families, the COBRA belief filter and the decision layer; perception feeds the decision layer.
C["Core<br/>Born and Lüders rules · Lindblad · likelihood · AIC/BIC"]:::op --> QL["Quantum-like families<br/>projections · interference · walks · Zeno"]:::hum
C --> B["COBRA belief filter<br/>density matrix · rotated measurement · dephasing"]:::in
Q["Quantum computing for robots<br/>QUBO encodings · QAOA"]:::in --> R
S["Quantum sensing<br/>quantum limits · atom interferometer · Kalman filter"]:::in --> R
C --> R["Decision layer<br/>value of information · calibration · conformal · empirical Bayes"]:::out
QL --> R
B --> R
P["Perception<br/>adapters · Bayes · Dempster-Shafer · Kraus fusion"]:::in --> R
classDef in fill:#0b2a4a,stroke:#79c0ff,color:#e6edf3
classDef op fill:#2a1b3d,stroke:#d2a8ff,color:#e6edf3
classDef out fill:#0f2e1a,stroke:#7ee787,color:#e6edf3
classDef hum fill:#3d1414,stroke:#ff7b72,color:#e6edf3
States, projectors, the Born and Lüders rules, open-system dynamics, parameter transforms, likelihood, AIC, BIC, model recovery.
Question order and the QQ equality, QLBN, walks, the trust qubit and Zeno perception.
Density-matrix belief, context-rotated generalised measurement, dephasing, and the two classical limits.
QUBO encodings of robot problems and QAOA through Qiskit.
Quantum limits, the atom interferometer and the dead-reckoning Kalman filter.
Ensemble uncertainty, ask or act, calibration, conformal sets, Clopper-Pearson, gates, value of information, partial pooling, hand-over costs.
Detector, speech and gaze adapters; Bayesian, Dempster-Shafer and quantum-like (Kraus) fusion.
Environments with simulated people, the state-vector simulator and the QUBO container.