We have a PhD opening for a motivated student with a Master's Degree in Physics, Quantum Engineering, Quantum Information Science to join the **Quantum Information and Matter Group headed by Prof. Peter P. Orth at Saarland University, which offers a unique interdisciplinary research environment in quantum information science with groups in computer science, mathematics and physics. The successful applicant will conduct research at the interface of quantum information science and condensed matter theory. Specific research directions include quantum algorithms for the simulation of quantum materials and many-body systems. A focus lies on the implementation of these algorithms on current noisy intermediate-scale and near-term early fault-tolerant quantum hardware including the development and use of quantum error mitigation and quantum error correction methods.