  We explore the quantum cosmology description of the de Sitter (dS) radiation
and its backreaction to dS space, inherent in the wave function of the
Wheeler-DeWitt equation for pure gravity with a cosmological constant. We first
investigate the quantum Friedmann-Lemaitre-Robertson-Walker cosmological model
and then consider possible effects of inhomogeneities of the universe on the dS
radiation. In both the cases we obtain the modified Friedmann equation,
including the backreaction from spacetime fluctuations, and the
quantum-corrected dS temperature. It is shown that the quantum correction
increases the dS temperature with the increment characterized by the ratio of
the dS scale to the Planck scale.
