  An algorithm and a system of quantum circuits is developed and applied to
compute accurately the S matrix for the transitions between vibrational states
of H2 for collisions with H. The algorithm was applied to 100 eV laboratory
collision energy at a quantum circuit simulator. The effects of the discretized
dissociative continuum to the transition cross sections are carefully studied
and accuracy and convergence of the results with the chosen parameters of the
algorithm and the collision system are verified by comparison with a solution
of the time-dependent Schrodinger equation using the classical algorithm as
well as comparison with a few results from the literature.
