Simulating many-body fermionic systems is a computational challenge in material science, quantum chemistry, and particle physics. Qubit-based quantum computers offer potential efficiency, but encoding the non-local fermionic statistics requires additional resources. I will present a fermionic quantum processor that locally encodes models in a fermionic register using hardware-efficient fermionic gates.
Our proposal is based on programmable tweezer arrays with fermionic atoms, implementing non-local tunneling gates to ensure Fermi statistics. I will discuss how using this elementary gate set, along with Rydberg-mediated interaction gates, it is possible to create efficient circuit decompositions in quantum simulation algorithms. Finally, I will propose a measurement protocol for fermionic correlations in ultra-cold atom experiments, combining random atomic beam splitter operations with high-resolution imaging systems. Our approach applies to the variational quantum eigensolver algorithm for quantum chemistry.
All the material can be found in these two papers: