Quantum Circuit Design using Complex valued Neural Network in Stiefel Manifold

Fuente: arXiv
Gespeichert in:
Bibliographische Detailangaben
Hauptverfasser: Manna, Sayan, R, Mahesh Mohan M
Format: Preprint
Veröffentlicht: 2025
Schlagworte:
Online-Zugang:
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
_version_ 1866908515624288256
author Manna, Sayan
R, Mahesh Mohan M
author_facet Manna, Sayan
R, Mahesh Mohan M
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2509_02374
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Quantum Circuit Design using Complex valued Neural Network in Stiefel Manifold
Manna, Sayan
R, Mahesh Mohan M
Quantum Physics
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.
title Quantum Circuit Design using Complex valued Neural Network in Stiefel Manifold
topic Quantum Physics
url https://arxiv.org/abs/2509.02374