  We investigate superconformal quantum mechanics (SCQM) on a quantum computer.
We study the ground state of the mass deformed SCQM on a quantum computed using
the Variational Quantum Eigensolver (VQE) using a one boson and one boson - one
fermion Hilbert space with and without noise and compare the accuracy of the
results. We study the Feynman path integral for SCQM using the Evolution of
Hamiltonian (EOH) algorithm on the quantum computer using the Trotter-Suzuki
approximation and compare with the exact result. We consider an N boson and N
fermion version of SCQM given be the Supersymmetric Calogero-Moser-Sutherland
(SCMS) model. We compare the ground state of SCMS theory obtained using the VQE
computation with the exact solution. Finally we discuss the implications of the
the numerical simulation of SCQM on a quantum computer for the simulation of
quantum gravity in light of the Anti-de Sitter/Superconformal field theory
(AdS/CFT) correspondence.
