Simulating spectroscopic detection of Majorana zero modes with a superconducting quantum computer

We detect the remnants of the topological phase boundary of a two site Kitaev chain with Coulomb interactions using a spectroscopic eigensolver algorithm on a quantum computer. Along the boundary, even- and odd-parity states are degenerate and Majorana zero modes become spatially separated. The spectroscopic eigensolver interacts with a quantum register which simulates the evolution of the Hamiltonian system via an auxiliary "probe" qubit. The probe qubit is weakly coupled to the system so that it responds to the resonant transitions of the system.