  Quantum computers are the ideal platform for quantum simulations. Given
enough coherent operations and qubits, such machines can be leveraged to
simulate strongly correlated materials, where intricate quantum effects give
rise to counter-intuitive macroscopic phenomena such as high-temperature
superconductivity. In this paper, we provide a gate decomposition and an
architecture for a quantum simulator used to simulate the Fermi-Hubbard model
in a hybrid variational quantum-classical algorithm. We propose a simple planar
implementation-independent layout of qubits that can also be used to simulate
more general fermionic systems. By working through a concrete application, we
show the gate decomposition used to simulate the Hamiltonian of a cluster of
the Fermi-Hubbard model. We briefly analyze the Trotter-Suzuki errors and
estimate the scaling properties of the algorithm for more complex applications.
