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quantum-math-lab/README.md
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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](https://github.com/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`](quantum_simulator.py)
with Hadamard, Pauli-X and controlled-NOT gates, custom unitaries and
measurement utilities.
- **Problem compendium** in [`problems.md`](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**
```bash
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:
```bash
pip install numpy pytest
```
2. **Experiment with the simulator**
```python
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`](problems.md) for
high-level summaries and references.
## Running the tests
Use `pytest` to execute the simulator tests:
```bash
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](https://qiskit.org/) or [Cirq](https://quantumai.google/cirq). It is an
educational sandbox for experimenting with qubit states and learning about open
questions in mathematics.
---
## 📜 License & Copyright
**Copyright © 2026 BlackRoad OS, Inc. All Rights Reserved.**
**CEO:** Alexa Amundson | **PROPRIETARY AND CONFIDENTIAL**
This software is NOT for commercial resale. Testing purposes only.
### 🏢 Enterprise Scale:
- 30,000 AI Agents
- 30,000 Human Employees
- CEO: Alexa Amundson
**Contact:** blackroad.systems@gmail.com
See [LICENSE](LICENSE) for complete terms.