Quantum machine learning has limitations due to linear unitary operations and shared trainable parameters across outputs.
Superposed parameterised quantum circuits are introduced to overcome these limitations by embedding an exponential number of parameterised sub-models in a single circuit.
This new architecture induces polynomial activation functions through amplitude transformations and post-selection, allowing for training multiple parameter sets in parallel.
Numerical experiments show significant advantages of superposed parameterised quantum circuits in reducing errors and improving accuracy in tasks like regression and classification.