📄 Background

In the QPIXL_demo.ipynb notebook, the cFRQI_with_alg_demo function illustrates a conceptual example of combining a QPIXL-encoded image with a quantum algorithm circuit. A similar technique is applied in the process_audio function at the end of the notebook.
However, these integrations are currently hardcoded and not easily extensible.

🎯 Goal
Develop a flexible mechanism to allow the integration of:

• An arbitrary quantum circuit (e.g., a standard or QPIXL circuit),
• A QPIXL-encoded data circuit
• A custom rule for how to combine/slice these circuits together (e.g. merge, slice or apply sequentially)
• Solution can either be a Jupyter notebook or an additional source code file, but must have a simple programatic interface. Ideally it should work as a .py file, so an implementation like that would be preferentially chosen.

An example is available in the notebook and illustrated in this diagram:

This can be delivered as a class or a function and it should return a valid combined quantum circuit.

Refactoring existing code for clarity and modularity is encouraged.