Dimensional Expressivity Analysis of Parametric Quantum Circuits

Autor: Lena Funcke, Tobias Hartung, Karl Jansen, Stefan Kühn, Paolo Stornati
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: Quantum, Vol 5, p 422 (2021)
Druh dokumentu: article
ISSN: 2521-327X
DOI: 10.22331/q-2021-03-29-422
Popis: Parametric quantum circuits play a crucial role in the performance of many variational quantum algorithms. To successfully implement such algorithms, one must design efficient quantum circuits that sufficiently approximate the solution space while maintaining a low parameter count and circuit depth. In this paper, develop a method to analyze the dimensional expressivity of parametric quantum circuits. Our technique allows for identifying superfluous parameters in the circuit layout and for obtaining a maximally expressive ansatz with a minimum number of parameters. Using a hybrid quantum-classical approach, we show how to efficiently implement the expressivity analysis using quantum hardware, and we provide a proof of principle demonstration of this procedure on IBM's quantum hardware. We also discuss the effect of symmetries and demonstrate how to incorporate or remove symmetries from the parametrized ansatz.
Databáze: Directory of Open Access Journals