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This study presents a quantum simulation of neutron superfluid under strong gravitational fields using the Qiskit framework. By mapping a modified BCS Hamiltonian onto qubits, we investigated the effects of gravitational redshift and topological breaking on the energy gap. The simulation yielded a gap of about 2.05 MeV, deviating by ~15% from the theoretical value of 1.78 MeV, demonstrating the feasibility of the approach. Limitations due to qubit scale and parameter choices are noted. This work provides a preliminary pathway for exploring nuclear matter in strong gravitational fields via quantum platforms.