Quantum Circuit Design using Complex valued Neural Network in Stiefel Manifold

Sayan Manna; Mahesh Mohan M R

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arXiv · 2509.02374

Quantum Circuit Design using Complex valued Neural Network in Stiefel Manifold

Sayan Manna·Mahesh Mohan M R

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Abstract

Quantum algorithms operate on quantum states through unitary transformations in high dimensional complex Hilbert space. In this work, we propose a machine learning approach to create the quantum circuit using a single-layer complex-valued neural network. The input and ouput quantum states are provided to the network, which is trained to approximate the output state of a given quantum algorithm. To ensure that the fundamental property of unitarity is preserved throughout the training process, we employ optimization in Stiefel Manifold.

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Sayan Manna, Mahesh Mohan M R. 2025-09-02. Quantum Circuit Design using Complex valued Neural Network in Stiefel Manifold. https://arxiv.org/abs/2509.02374

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