  We establish a general class of entropy inequalities that take the concise
form of Gaussian comparisons. The main result unifies many classical and recent
results, including the Shannon-Stam inequality, the Brunn-Minkowski inequality,
the Zamir-Feder inequality, the Brascamp-Lieb and Barthe inequalities, the
Anantharam-Jog-Nair inequality, and others.
