Journal Article

PUBDB-2021-02288

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Dimensional Expressivity Analysis of Parametric Quantum Circuits

Funcke, L.Extern* ; Hartung, T.Extern* ; Jansen, K.DESY* ; Kühn, S.Extern* ; Stornati, P.DESY*

2021
Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften Wien

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Please use a persistent id in citations: doi:10.22331/q-2021-03-29-422  doi:10.3204/PUBDB-2021-02288

Report No.: HU-EP-20/31; arXiv:2011.03532

Abstract: 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.

Keyword(s): hardware ; parametric ; hybrid

Note: Quantum 5, 422 (2021). 37 pages, 13 figures, journal version

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Contributing Institute(s):

1. NIC (ZEU-NIC)

Research Program(s):

1. 611 - Fundamental Particles and Forces (POF4-611) (POF4-611)

Experiment(s):

1. No specific instrument

Appears in the scientific report 2021

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