Research paper: Low Weight Fermionic Encodings for Lattice Models

We present two fermion to qubit encodings tailored to square and hexagonal lattices that preserve the locality of even fermionic operators. These encodings use fewer than 1.5 qubits per fermionic mode, and the generators of the even fermionic algebra have maximum Pauli weight 3. When applied to the Fermi-Hubbard model this encoding results in hopping and onsite terms with at most Pauli weight 3. As far as we are aware no other local fermionic encoding has as small a qubit to mode ratio, or as low an upper bound on the Pauli weights of the terms in the Fermi-Hubbard model.