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. The equations are on the mathematics page.

Legend: blue inputs, violet internal steps, green outputs, coral people, dashed grey classical baselines. Each entry is labelled by origin: Unique to Quantum Mind designed in this library; it builds on the methods cited with it, Published model, extended implements the cited model as published; Quantum Mind adds the capabilities listed, Published method implements the cited method as published, Software tool infrastructure rather than a model; and by category: Quantum-like quantum probability used to model people; runs on an ordinary computer, Quantum computing quantum circuits; run on the simulator or sent to quantum hardware, Classical classical statistics, decision theory or baselines, Mixed combines parts from more than one of these categories.

State-vector simulator#

Software tool Quantum computing

Batched NumPy simulation of parameterised circuits with adjoint gradients and Qiskit export.

        flowchart LR
    accTitle: Block diagram of State-vector simulator
    accDescr: Batched NumPy simulation of parameterised circuits with adjoint gradients and Qiskit export.
    c["gates with angles<br/>W(k) · X(j) · constants"]:::in --> sim["batched state vectors"]:::op --> p["probabilities · ⟨Z⟩"]:::out
    sim --> g["adjoint gradients"]:::out
    c --> qk["to_qiskit()"]:::out
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  • API: Circuit

  • Tutorial: Introduction to Quantum Mind

  • Origin: Software tool: infrastructure rather than a model.

  • Category: Quantum computing: quantum circuits; run on the simulator or sent to quantum hardware.

  • Reference: Jones, T., & Gacon, J. (2020). arXiv:2009.02823 (adjoint differentiation).

QUBO container#

Software tool Classical

The binary-optimisation container used by trust-aware allocation: exact brute force for small teams and an Ising export for external solvers.

        flowchart LR
    accTitle: Block diagram of QUBO container
    accDescr: The binary-optimisation container used by trust-aware allocation: exact brute force for small teams and an Ising export for external solvers.
    pb["trust-aware allocation costs"]:::in --> Q["QUBO: xᵀQx + offset"]:::op
    Q --> bf["brute force"]:::out & ising["Ising export<br/>(any external solver)"]:::out
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  • API: Qubo

  • Origin: Software tool: infrastructure rather than a model.

  • Category: Classical: classical statistics, decision theory or baselines.

  • Reference: Lucas, A. (2014). Frontiers in Physics, 2, 5.

Trust-aware task allocation#

Unique to Quantum Mind Mixed

Assign tasks among people working with a robot: robot-assisted tasks cost more with a person who does not trust the robot, and heavy workloads are penalised. The trust values come from the people models.

        flowchart LR
    accTitle: Block diagram of Trust-aware task allocation
    accDescr: Assign tasks among people working with a robot: robot-assisted tasks cost more with a person who does not trust the robot, and heavy workloads are penalised. The trust values come from the people models.
    T["trust per person<br/>trust qubit · online posterior"]:::hum --> C["expected cost<br/>C + F·r·(1 − τ)"]:::op
    B[("effort per person and task")]:::in --> C
    C --> Q["QUBO + workload term"]:::op --> S["exact · Ising export"]:::op --> A["who does what"]:::out
    blind["trust-blind allocation"]:::base -.-> A
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  • API: trust_aware_allocation(), expected_costs(), decode()

  • Compared with: trust-blind task allocation

  • Origin: Unique to Quantum Mind: designed in this library; it builds on the methods cited with it.

  • Category: Mixed: combines parts from more than one of these categories.

  • Reference: Lucas, A. (2014). Frontiers in Physics, 2, 5 (allocation QUBO); trust from Busemeyer & Bruza (2024) and Roeder et al. (2023).

Circuits for the quantum-like families#

Unique to Quantum Mind Quantum computing

Each quantum-like family as a Qiskit circuit whose measured frequencies reproduce the model.

        flowchart LR
    accTitle: Block diagram of Circuits for the quantum-like families
    accDescr: Each quantum-like family as a Qiskit circuit whose measured frequencies reproduce the model.
    m["fitted model"]:::in --> u["subspace unitaries"]:::op --> fl["flag qubits record answers"]:::op --> qc["Qiskit circuit"]:::out
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Back ends#

Software tool Quantum computing

Run a circuit on Aer, a fake IBM device, IBM Quantum or Amazon Braket.

        flowchart LR
    accTitle: Block diagram of Back ends
    accDescr: Run a circuit on Aer, a fake IBM device, IBM Quantum or Amazon Braket.
    qc["circuit"]:::in --> r{"run(qc, backend)"}:::op --> aer["Aer"]:::out & fake["FakeTorino"]:::out & ibm["IBM Quantum"]:::out & br["Amazon Braket"]:::out
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  • API: run()

  • Origin: Software tool: infrastructure rather than a model.

  • Category: Quantum computing: quantum circuits; run on the simulator or sent to quantum hardware.

Bloch-sphere viewer#

Software tool Quantum computing

Trajectories of qubits through circuits or beliefs, drawn statically or animated.

        flowchart LR
    accTitle: Block diagram of Bloch-sphere viewer
    accDescr: Trajectories of qubits through circuits or beliefs, drawn statically or animated.
    src["circuit · belief model · state"]:::in --> tr["trajectory of Bloch vectors"]:::op --> st["Matplotlib figure"]:::out
    tr --> an["Plotly animation / HTML"]:::out
    tr --> ent["entanglement and concurrence"]:::out
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