  In the present study, we demonstrate how to perform, using quantum annealing,
the singular value decomposition and the principal component analysis. Quantum
annealing gives a way to find a ground state of a system, while the singular
value decomposition requires the maximum eigenstate. The key idea is to
transform the sign of the final Hamiltonian, and the maximum eigenstate is
obtained by quantum annealing. Furthermore, the adiabatic time scale is
obtained by the approximation focusing on the maximum eigenvalue.
