Abstract Quantum machine learning has become an area of growing interest but certain theoretical and hardware-specific limitations. Notably, the problem vanishing gradients, or barren plateaus, renders training impossible for circuits with high qubit counts, imposing a limit on number qubits that data scientists can use solving problems. Independently, angle-embedded supervised quantum neural n...

Several important conjectures in Fractal Geometry can be summarised as follows: If the dimension of a self-similar measure R does not equal its expected value, then underlying iterated function system contains an exact overlap. In recent years significant progress has been made towards these conjectures. Hochman proved that if Hausdorff there are cylinders which super-exponentially close at all...