Analog and digital calculations on neutral atom based quantum computers.

Neutral-atom based quantum processing units is an attractive platform due to its large configurability and scalability. Tunable Hamiltonian can be created preparing arbitrary two-dimensional arrays of atoms and generating Rydberg-mediated interactions between atoms. A wide range of applications, ranging from optimization challenges to simulation of quantum systems, can be addressed either at the analog level (programming Hamiltonian sequences) or the digital level (programming gate-based circuits). We present and compare these two approaches and show how efficient they are in the noisy intermediate scale quantum era we are in.