  Jensen-Shannon divergence is a well known multi-purpose measure of
dissimilarity between probability distributions. It has been proven that the
square root of this quantity is a true metric in the sense that, in addition to
the basic properties of a distance, it also satisfies the triangle inequality.
In this work we extend this last result to prove that in fact it is possible to
derive a monoparametric family of metrics from the classical Jensen-Shannon
divergence. Motivated by our results, an application into the field of symbolic
sequences segmentation is explored. Additionally, we analyze the possibility to
extend this result into the quantum realm.
