# Towards Mixed Quantum-Classical Dynamics on Quantum Computers

**Authors:** Daniel Bultrini, Oriol Vendrell  
**arXiv:** [2303.11375](https://arxiv.org/abs/2303.11375)  
**Date:** 2023-03-20  
**Summary page:** https://www.summarizepaper.com/fr/arxiv-id/2303.11375v1/

## Abstract

Mixed quantum-classical dynamics is a set of methods often used to understand systems too complex to treat fully quantum mechanically. Many techniques exist for full quantum mechanical evolution on quantum computers, but mixed quantum-classical dynamics are less explored. We present a modular algorithm for general mixed quantum-classical dynamics where the quantum subsystem is coupled with the classical subsystem. We test it on a modified Shin-Metiu model in the first quantization through Ehrenfest propagation. We find that the Time-Dependent Variational Time Propagation algorithm performs well for short-time evolutions and retains qualitative results for longer-time evolutions.