  In this paper, quantum algorithms are to be used to simulate glassy systems
in toy models. To look for glassy behavior, the energy landscape and spin
configurations of the transverse field Ising model in a longitudinal field are
studied. The Variational Quantum Eigensolver (VQE) is used to obtain the
ground-state energies and corresponding eigenstates for a $6 \times 6$ Ising
lattice using 36 qubits and a 1-dimensional Ising chain of length 25. For the
$8 \times 8$ Cellular Potts model, the original Hamiltonian is converted to an
Ising formulation for the VQE to reduce to its ground state. The energy change
during minimization is carefully analyzed to find whether the effects of
interfacial tension among cells could probably induce glassiness in the cell
system.
