Check out our updated preprint for many more interesting results regarding the efficient and robust engineering of Hamiltonians.
Thank you @markusheinrich.bsky.social and Martin Kliesch for the good & fun collaboration!

We provide numerical simulations to highlight the performance. Given an Ising Hamiltonian as system Hamiltonian we are able to implement general Heisenberg Hamiltonians with a fidelity larger than 99.9%. This high fidelity is even achieved while various errors are present.

Our method only requires the evolution under an arbitrary system Hamiltonian given by the quantum platform and simple single-qubit pulses. With that we implement the evolution under a desired target Hamiltonian which is only limited by the locality of the system Hamiltonian.