Merged amplitude encoding for Chebyshev quantum Kolmogorov-Arnold networks

The merged amplitude encoding technique reduces circuit executions for Chebyshev quantum Kolmogorov–Arnold networks by a factor of n using only 1–2 extra qubits. This method packs element-wise products into a single state, achieving the same mathematical result as the original sequential approach while maintaining trainability under simulation and showing performance improvements in ideal conditions.

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