Quantum Circuit Design using Complex valued Neural Network in Stiefel Manifold

• URL: http://arxiv.org/abs/2509.02374v1
• Date: Tue, 02 Sep 2025 14:41:55 GMT
• Title: Quantum Circuit Design using Complex valued Neural Network in Stiefel Manifold
• Authors: Sayan Manna, Mahesh Mohan M R,
• Abstract summary: We propose a machine learning approach to create a quantum circuit using a single-layer complex-valued neural network.<n>The input and ouput quantum states are provided to the network, which is trained to approximate the output state of a given quantum algorithm.
• Score: 1.0885910878567457
• License: http://creativecommons.org/licenses/by/4.0/
• 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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