Check out this paper made in collaboration with @nickblunt.bsky.social and @aleksei-quantum.bsky.social, that describes how to obtain tight bounds on the worst-case Trotter error using a split-operator decomposition for Hamiltonians of practical interest in materials research and chemistry!

Fault-Tolerant Quantum Simulation of Generalized Hubbard Models Tile Trotterization is developed as an efficient method to simulate arbitrary lattice Hubbard and extended Hubbard models in early fault tolerance, and numerical methods are applied to more accurately...

👏 Well done to @nickblunt.bsky.social, @abaysmidt.bsky.social et al for a new @prxquantum.bsky.social paper on 'Tile Trotterization', bringing us closer to simulating superconductors and other states of matter:

journals.aps.org/prxquantum/a...

🧵1/2 #QEC