%0 Journal Article
%A Funcke, Lena
%A Hartung, Tobias
%A Jansen, Karl
%A Kühn, Stefan
%A Stornati, Paolo
%T Dimensional Expressivity Analysis of Parametric Quantum Circuits
%J Quantum
%V 5
%N arXiv:2011.03532
%@ 2521-327X
%C Wien
%I Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften
%M PUBDB-2021-02288
%M arXiv:2011.03532
%M HU-EP-20/31
%P 422 -
%D 2021
%Z Quantum 5, 422 (2021). 37 pages, 13 figures, journal version
%X 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, we 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.
%K hardware (INSPIRE)
%K parametric (INSPIRE)
%K hybrid (INSPIRE)
%F PUB:(DE-HGF)16
%9 Journal Article
%U <Go to ISI:>//WOS:000636649700001
%R 10.22331/q-2021-03-29-422
%U https://bib-pubdb1.desy.de/record/458706