# Demonstration of Adiabatic Variational Quantum Computing with a Superconducting Quantum Coprocessor

## TL;DR

This paper demonstrates an adiabatic variational quantum algorithm on a superconducting quantum coprocessor, efficiently preparing many-body eigenstates with high fidelity, advancing quantum simulation capabilities.

## Contribution

It introduces and experimentally validates a hybrid adiabatic variational algorithm using short quantum circuits on superconducting hardware.

## Key findings

- Successfully prepared many-body eigenstates with up to 99% fidelity.
- First experimental demonstration of adiabatic variational quantum computing.
- Tracked real-time evolution of quantum states in a superconducting system.

## Abstract

Adiabatic quantum computing enables the preparation of many-body ground states. This is key for applications in chemistry, materials science, and beyond. Realisation poses major experimental challenges: Direct analog implementation requires complex Hamiltonian engineering, while the digitised version needs deep quantum gate circuits. To bypass these obstacles, we suggest an adiabatic variational hybrid algorithm, which employs short quantum circuits and provides a systematic quantum adiabatic optimisation of the circuit parameters. The quantum adiabatic theorem promises not only the ground state but also that the excited eigenstates can be found. We report the first experimental demonstration that many-body eigenstates can be efficiently prepared by an adiabatic variational algorithm assisted with a multi-qubit superconducting coprocessor. We track the real-time evolution of the ground and exited states of transverse-field Ising spins with a fidelity up that can reach about 99%.