  The work explores the integration of quantum computing into logistics and
supply chain management, emphasising its potential for use in complex
optimisation problems. The discussion introduces quantum computing principles,
focusing on quantum annealing and gate-based quantum computing, with the
Quantum Approximate Optimisation Algorithm and Quantum Annealing as key
algorithmic approaches. The paper provides an overview of quantum approaches to
routing, logistic network design, fleet maintenance, cargo loading, prediction,
and scheduling problems. Notably, most solutions in the literature are hybrid,
combining quantum and classical computing. The conclusion highlights the early
stage of quantum computing, emphasising its potential impact on logistics and
supply chain optimisation. In the final overview, the literature is
categorised, identifying quantum annealing dominance and a need for more
research in prediction and machine learning is highlighted. The consensus is
that quantum computing has great potential but faces current hardware
limitations, necessitating further advancements for practical implementation.
