Optimising the Real-Time Evolution of Quantum Spin Chains with Higher-Order Trotter Techniques (A04)

• Subject Area: Theoretical Condensed Matter Physics
• Term: since 2024
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 511713970

Quantum many-body systems as well as multiple other areas of physics heavily rely on discrete time evolution using so-called Trotterization techniques. This project aims to derive maximally precise Trotterisations at minimal computational cost. The first goal is to construct optimised higher order Trotter schemes for two operators based on their theoretical efficiencies. Next, the results are going to be generalised for a higher number of operators. The third goal is to understand and integrate in-practice deviations from the theoretical efficiencies into the framework. Lastly, efficient Trotterisation is pivotal for digital quantum computing, and the fourth goal is hence to transfer the results to quantum computing applications.

• DFG Programme: Collaborative Research Centres
• Subproject of: SFB 1639: NuMeriQS: Numerical Methods for Dynamics and Structure Formation in Quantum Systems
• Applicant Institution: Rheinische Friedrich-Wilhelms-Universität Bonn
• Project Head: Dr. Johann Ostmeyer