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⚗️ Research Repository

This is an experimental/research repository. Code here is exploratory and not production-ready. For production systems, see BlackRoad-OS.


Quantum Math Lab

Quantum Math Lab pairs a lightweight quantum circuit simulator with concise summaries of landmark unsolved problems in mathematics. The project is designed for experimentation and self-study: you can build and inspect quantum states in pure Python while browsing short descriptions of famous conjectures.

Features

  • State-vector simulator implemented in quantum_simulator.py with Hadamard, Pauli-X and controlled-NOT gates, custom unitaries and measurement utilities.
  • Problem compendium in problems.md covering ten influential open problems such as the Riemann Hypothesis, P vs NP and the NavierStokes regularity question.
  • Automated tests demonstrating the simulators behaviour, built with pytest.

Getting started

  1. Install dependencies

    python -m venv .venv
    source .venv/bin/activate
    pip install -r requirements.txt  # see below if the file is absent
    

    If a requirements.txt file is not present, simply install NumPy and pytest:

    pip install numpy pytest
    
  2. Experiment with the simulator

    from quantum_simulator import QuantumCircuit
    
    circuit = QuantumCircuit(2)
    circuit.hadamard(0)
    circuit.cnot(0, 1)
    print(circuit.probabilities())  # {'00': 0.5, '11': 0.5}
    result = circuit.measure(rng=np.random.default_rng())
    print(result.counts)
    
  3. Review the unsolved problems by opening problems.md for high-level summaries and references.

Running the tests

Use pytest to execute the simulator tests:

pytest

The test suite verifies single-qubit gates, entanglement via the controlled-NOT operation and measurement statistics.

Disclaimer

This project does not attempt to solve the problems listed in problems.md and is not a substitute for full-featured quantum computing frameworks such as Qiskit or Cirq. It is an educational sandbox for experimenting with qubit states and learning about open questions in mathematics.


Copyright © 2026 BlackRoad OS, Inc. All Rights Reserved.

CEO: Alexa Amundson | PROPRIETARY AND CONFIDENTIAL

This software is NOT for commercial resale. Testing purposes only.

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