Benchmark of transport-induced motional excitations in an 8-qubit quantum processor

We present a framework to analyse the effect of transport on the motional states of ions in a trapped-ion quantum processor. By decomposing the shuttling protocol into primitive operations, we can evaluate their heating effects individually and combine results algebraically, avoiding full simulations for entire trajectories. We benchmark this method on an 8-qubit quantum processor, integrating the cost of motional operations at the compiler level.