Marko Malezic: Toward Efficient Trotter-Suzuki Schemes for Long-Time Quantum Dynamics

Tuesday 20 May 2025, 15:30 → 16:30 Europe/Ljubljana

https://zoom.us/j/3601731049?pwd=bVNQRjUxU2ExZ0cveWcxYXNUUGdjZz09 (F1 tea room)

Accurately simulating long-time dynamics of quantum many-body systems—whether in real or imaginary time—is a challenge in both classical and quantum computing due to the accumulation of Trotter errors. While low-order Trotter-Suzuki decompositions are straightforward to implement, their rapidly growing error limits access to long-time observables and ground state properties. I will present a framework for constructing efficient high-order Trotter-Suzuki schemes by identifying their structure and directly optimizing their parameters over a high-dimensional space. This method enables the discovery of new schemes with significantly improved efficiency compared to traditional constructions, such as those by Suzuki and Yoshida. I will demonstrate the effectiveness of these decompositions on the Heisenberg XXZ model, comparing their performance and presenting the newly discovered schemes. Finally, I will discuss ongoing efforts to extend this framework to even higher orders and apply the derived schemes to quantum hardware, pushing the boundaries of both theoretical advancements and practical quantum computing.