Fig. 3: An illustrative explicit model approximating a data re-uploading circuit. | Nature Communications

Fig. 3: An illustrative explicit model approximating a data re-uploading circuit.

From: Quantum machine learning beyond kernel methods

Fig. 3: An illustrative explicit model approximating a data re-uploading circuit.

The circuit acts n working qubits and dp encoding qubits. Pauli-X rotations encode bit-string descriptions \({\widetilde{{{{{{{{\boldsymbol{x}}}}}}}}}}_{i}\in {\{0,1\}}^{p}\) of the d input components \({x}_{i}\in {\mathbb{R}}\), which constitutes the feature encoding of the explicit model. Fixed and data-independent controlled rotations, interlaid with arbitrary variational unitaries, and a final measurement of the working qubits can result in a good approximation of any parametrized quantum circuit acting on n qubits.

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