  The information spectrum approach gives general formulae for optimal rates of
codes in many areas of information theory. In this paper the quantum spectral
divergence rates are defined and properties of the rates are derived. The
entropic rates, conditional entropic rates, and spectral mutual information
rates are then defined in terms of the spectral divergence rates. Properties
including subadditivity, chain rules, Araki-Lieb inequalities, and monotonicity
are then explored.
