arXiv Machine Learning By Rui Che, Ludvig af Klinteberg

An Efficient Quantum Circuit for Flow Model Execution Using Quantum Neural Networks

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The paper presents a quantum circuit that efficiently executes flow models by simulating wavefunction flow using a quantum read‑only memory (QROM) based phase kickback framework. To reduce circuit resources, the authors replace QROM with a trained quantum neural network (QNN) for data encoding, achieving comparable accuracy to the conventional flow model while significantly cutting resource usage. Numerical experiments confirm that this hybrid QROM–QNN approach maintains wavefunction flow fidelity and improves efficiency on quantum hardware.

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