Towards solving the BCS Hamiltonian gap in near-term quantum computers

In this work, using a Noisy Intermediate-Scale Quantum (NISQ) framework, we obtain the gap of a Bardeen–Cooper–Schrieffer (BCS) Hamiltonian. This could lead to interesting implications for superconductivity research. For such task, we choose to use the Variational Quantum Deflation and analyze the hardware restrictions that are needed to find the energy spectra on current quantum hardware.