Canonical ensemble profile of a Fermi-Hubbard model treated as a double qubit chain

Through the Jordan-Wigner transformation, a Fermi-Hubbard (FH) optical lattice can be mapped onto a double qubit chain system (QS). In this study, the partition function and the Helmholtz free energy were calculated for a FH dimer and a double QS double well. The differences of the values of the two properties as functions of temperature were taken and are shown as saturating to a constant as the temperature increases. This implies that electrons can be emulated as qubits.