  We address the problem of quantifying the information content of a source for
an arbitrary information theory, where the information content is defined in
terms of the asymptotic achievable compression rate. The functions that solve
this problem in classical and quantum theory are Shannon's and von Neumann's
entropy, respectively. However, in a general information theory there are three
different functions that extend the notion of entropy, and this opens the
question as to whether any of them can universally play the role of the
quantifier for the information content. Here we answer the question in the
negative, by evaluating the information content as well as the various entropic
functions in a toy theory called Bilocal Classical Theory.
