# Training of Quantum Circuits on a Hybrid Quantum Computer

## TL;DR

This paper demonstrates the first successful training of a high-dimensional quantum circuit on a hybrid quantum-classical system, highlighting the potential and challenges of quantum generative modeling.

## Contribution

It introduces a data-driven quantum circuit training method on a trapped ion quantum computer using hybrid optimization strategies, advancing quantum machine learning capabilities.

## Key findings

- Convergence depends on hardware and optimization strategy
- Particle Swarm and Bayesian optimization are effective
- First successful training of high-dimensional quantum circuits

## Abstract

Generative modeling is a flavor of machine learning with applications ranging from computer vision to chemical design. It is expected to be one of the techniques most suited to take advantage of the additional resources provided by near-term quantum computers. We implement a data-driven quantum circuit training algorithm on the canonical Bars-and-Stripes data set using a quantum-classical hybrid machine. The training proceeds by running parameterized circuits on a trapped ion quantum computer, and feeding the results to a classical optimizer. We apply two separate strategies, Particle Swarm and Bayesian optimization to this task. We show that the convergence of the quantum circuit to the target distribution depends critically on both the quantum hardware and classical optimization strategy. Our study represents the first successful training of a high-dimensional universal quantum circuit, and highlights the promise and challenges associated with hybrid learning schemes.