2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/129020We show in detail how the Jordan-Wigner transformation can be used to simulate any fermionic many-body Hamiltonian on a quantum computer. We develop an algorithm based on appropriate qubit gates that takes a general fermionic Hamiltonian, written as products of a given number of creation and annihilation operators, as input. To demonstrate the applicability of the algorithm, we calculate eigenvalues and eigenvectors of two model Hamiltonians, the well-known Hubbard model and a generalized pairing Hamiltonian. Extensions to other systems are discussed.16 pages, 10 figures, revtex styleQuantum PhysicsMathematical PhysicsNuclear TheoryComputational Physicstext