  Quantum computers promise to efficiently solve important problems that are
intractable on a conventional computer. Quantum computational algorithms have
the potential to be an exciting new way of studying quantum cosmology. In
quantum cosmology, we learn about the dynamics of the universe without
constructing a complete theory of quantum gravity. Since the universal
wavefunction exists in an infinite-dimensional superspace over all possible 3D
metrics and modes of matter configurations, we take minisuperspaces for our
work by constraining the degrees of freedom to particular 3D metrics and
uniform scalar field configurations. Here, we consider a wide variety of
cosmological models. We begin by analyzing an anisotropic universe with
cosmological constant and classical radiation. We then study the results for
higher derivatives, Kaluza-Klein theories and string dilaton in quantum
cosmology. We use IBM's Quantum Information Science Kit (QISKit) python library
and the Variational Quantum Eigensolver (VQE) algorithm for studying these
systems. The VQE algorithm is a hybrid algorithm that uses the variational
approach and interleaves quantum and classical computations in order to find
the minimum eigenvalue of the Hamiltonian for a given system.
