Predicting Expressibility of Parameterized Quantum Circuits using Graph Neural Network

Autor: Aktar, Shamminuj, Bärtschi, Andreas, Badawy, Abdel-Hameed A., Oyen, Diane, Eidenbenz, Stephan
Rok vydání: 2023
Předmět:
Zdroj: Posters of the IEEE International Conference on Quantum Computing and Engineering (QCE), 2023, pp. 401-402
Druh dokumentu: Working Paper
DOI: 10.1109/QCE57702.2023.10302
Popis: Parameterized Quantum Circuits (PQCs) are essential to quantum machine learning and optimization algorithms. The expressibility of PQCs, which measures their ability to represent a wide range of quantum states, is a critical factor influencing their efficacy in solving quantum problems. However, the existing technique for computing expressibility relies on statistically estimating it through classical simulations, which requires many samples. In this work, we propose a novel method based on Graph Neural Networks (GNNs) for predicting the expressibility of PQCs. By leveraging the graph-based representation of PQCs, our GNN-based model captures intricate relationships between circuit parameters and their resulting expressibility. We train the GNN model on a comprehensive dataset of PQCs annotated with their expressibility values. Experimental evaluation on a four thousand random PQC dataset and IBM Qiskit's hardware efficient ansatz sets demonstrates the superior performance of our approach, achieving a root mean square error (RMSE) of 0.03 and 0.06, respectively.
Databáze: arXiv