Simulating strongly interacting fermionic systems in a quantum computer

Noisy intermediate-scale quantum computation has the potential to be useful for the quantum simulation of small fermionic systems using variational quantum algorithms (VQA). Applications of hybrid quantum-classical approaches provide proof that VQAs are robust against noise and can handle limited qubit connectivity. In this talk, we approach a class of strongly interacting fermionic Hamiltonians formulated in the variational cluster approach by means of VQAs. More precisely, we tackle the problem of a 1D lattice to study the Mott transition. This work is a first step towards quantum simulation of larger and higher-dimensional strongly interacting electronic systems.