Model atlas#

A block diagram for every model in Quantum Mind (48 diagrams): what goes in, what happens inside, what comes out, and which classical baselines it is compared with. Each entry links to the API, a tutorial where there is one, and a reference.

        flowchart LR
    accTitle: How the parts of Quantum Mind fit together
    accDescr: Data from sensors and people feed the core fitting tools, the quantum-like families, the COBRA belief filter and perception, which all feed the robot decision layer; the families also feed circuits, back ends and the viewer; classical baselines are compared everywhere.
    D[("data · sensors · people")]:::hum --> C["core: fit · compare"]:::op
    C --> QL["quantum-like families"]:::op --> R["robot decision layer"]:::out
    C --> BF["COBRA belief filter"]:::op --> R
    P["perception and fusion"]:::op --> R
    E["environments with simulated people"]:::op --> R
    QL --> CI["circuits · back ends · viewer"]:::in
    B["classical baselines everywhere"]:::base -.-> QL & BF & P
    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
    classDef base fill:#262626,stroke:#8b949e,color:#e6edf3,stroke-dasharray:4 3
    

Where each model comes from#

Every entry carries one of four labels. Most models are published by other researchers and implemented here from their papers (the reference is on each entry). Quantum Mind’s own contributions are the COBRA belief filter, the robot decision layer, the environments, the circuits for the quantum-like families, and the tools that give every published people model uncertainty, per-person updating and informative-question selection.

Label

Entries

Meaning

Unique to Quantum Mind

15

designed in this library; it builds on the methods cited with it

Published model, extended

12

implements the cited model as published; Quantum Mind adds the capabilities listed

Published method

13

implements the cited method as published

Software tool

8

infrastructure rather than a model

Every entry also carries a category, so the quantum-like models of people and the quantum circuits can be told apart; quantum-like models need no quantum computer.

Category

Entries

Meaning

Quantum-like

15

quantum probability used to model people; runs on an ordinary computer

Quantum computing

6

quantum circuits; run on the simulator or sent to quantum hardware

Classical

19

classical statistics, decision theory or baselines

Mixed

8

combines parts from more than one of these categories

Unique to Quantum Mind: Uncertainty, online updating and informative questions, Context-rotated belief filter (COBRA), Online belief, Human-model ensemble, Ask or act, Intent resolution, Meta-calibrated gate, Question planner, Answer models, Trust-aware hand-over, Cue incompatibility, Clarification environment, Trust hand-over environment, Trust-aware task allocation, Circuits for the quantum-like families.

Published model, extended: Question order: quantum-like model, Question order: classical baselines, Quantum-like Bayesian network, Belief dynamics: quantum and Markov walks, Trust belief (open system), Bistable perception (quantum Zeno), Robot problems as QUBOs, Multi-rate Kalman dead reckoning, Conformal prediction sets, Personalised human models, Fusion rules, Dwell-time baselines.

The original paper of every model, for citing, is listed on references by model.

Pages#

Core: states, fitting and comparison

The building blocks every model uses: linear algebra for states and projectors, the model base class, maximum-likelihood fitting, model comparison and recovery studies. (6 diagrams)

Core: states, fitting and comparison
Quantum-like families

Models of human judgement, decision, memory and trust written in quantum probability, each with the classical baselines it must beat. (6 diagrams)

Quantum-like families
COBRA belief filter

A robot’s belief about a person as a density matrix whose measurement basis is rotated by the previous sensor frame, so what a reading means depends on what came before it. (4 diagrams)

COBRA belief filter
Quantum computing for robot algorithms

Robot problems as binary optimisation, the classical baselines a quantum result must be reported against, and a thin adapter to Qiskit’s QAOA. (4 diagrams)

Quantum computing for robot algorithms
Quantum sensing for robots

Quantum limits, accelerometer models and a multi-rate Kalman filter that fuses a slow, almost drift-free quantum sensor with a fast, drifting classical one. (3 diagrams)

Quantum sensing for robots
Robot decision layer

Components that turn models of people and uncertain perception into decisions: ask or act, calibrate, route, plan questions, personalise and hand over. (13 diagrams)

Robot decision layer
Perception and fusion

Adapters that turn perception outputs into likelihoods, three fusion rules, and the bistable-perception models. (4 diagrams)

Perception and fusion
Environments with simulated people

Gymnasium environments in which a simulated person answers questions with order effects or trusts the robot according to the trust qubit. (2 diagrams)

Environments with simulated people
Simulator, circuits and the viewer

The state-vector simulator, circuits for the quantum-like families, back ends, the allocation container and the Bloch-sphere viewer. (6 diagrams)

Simulator, circuits and the viewer