# Dimensional Expressivity Analysis of Parametric Quantum Circuits

- Institution: CERN
- Department: TH institutes
- Speaker: Lena Funcke
- Year: 2021
- Language: English
- Subjects: Physics, Computer science
- Source: [CERN](https://videos.cern.ch/record/3009710)
- Licence: [CERN](http://copyright.web.cern.ch)
- Who can watch: Tweens profiles and older (sources give no ratings; placed by Invisible Network from the source's own words)

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 talk, we present a method to analyze the dimensional expressivity of parametric quantum circuits. This 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..

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## Lectures

1. [Dimensional Expressivity Analysis of Parametric Quantum Circuits](https://invisiblenetwork.ai/learn/cern/3009710/d37f24ea0aa9), 1 h 2 min (CERN's player)