Quantum Fractal Generator

The Quantum Fractal Generator is an advanced application that leverages both Python and Rust to generate fractal images using quantum-inspired algorithms. It combines the intuitive graphical user interface (GUI) provided by Python with the high-performance computation capabilities of Rust.

Features

• Quantum Effects: Apply various quantum-inspired effects to generate fractals, such as Phase Kickback and Quantum Tunneling, along with traditional effects like Pauli X Gate, Pauli Y Gate, Hadamard Gate, and Phase Shift Gate.
• Color Mapping: Customize the appearance of fractals with different color maps.
• Parameter Adjustment: Interactive sliders to adjust parameters like the complex constant ( c ), ( \hbar ), and fractal boundaries.
• Real-time Visualization: Witness the fractal image evolve in real-time as you tweak parameters.
• Enhanced Performance: Leverages Rust's performance for efficient and fast fractal computation.
• Interoperability: Seamlessly integrates Python and Rust, utilizing the strengths of both languages.

Requirements

• Python 3.6 or above
• PyQt5
• NumPy
• Matplotlib
• Rust (for running the high-performance backend)

Installation

1. Clone or download the repository to your local machine.

2. Ensure Rust is installed on your system. If not, install it from the official Rust website.

3. Build the Rust library:

   cargo build --release

4. Setup rust import

   python setup.py install

5. Install the required Python dependencies:

   pip install -r requirements.txt

Usage

Run the application by executing the Python script:

python QJulia.py

Interact with the GUI to generate fractal images using various quantum effects and parameters.

Screenshots

Test Output from the Project Notebook Hbar (Quantum Factor): 1.0 Average number of iterations: 2.26 Maximum number of iterations: 20 Standard deviation of iterations: 1.88 Area with high iterations (>80% of max): 0.00 Area with low iterations (<20% of max): 0.80 Quantum Effect Measure: 0.02 Complexity Ratio (High/Low Iterations): 0.00

The Test UI from the Project Notebook

Contributing

Contributions are highly appreciated! Feel free to submit pull requests or open issues for any enhancements, bug fixes, or feature suggestions.

License

This project is licensed under the MIT License - see the LICENSE file for details.