  The Wehrl entropy is an entropy associated to the Husimi quasi-probability
distribution. We discuss how it can be used to formulate entropic uncertainty
relations and for a quantification of entanglement in continuous variables. We
show that the Wehrl-Lieb inequality is tighter than the usual
Bia{\l}ynicki-Birula and Mycielski entropic uncertainty relation almost
everywhere. Furthermore, we show how a Wehrl mutual information can be used to
obtain a measurable perfect witness for pure state bipartite entanglement,
which additionally provides a lower bound on the entanglement entropy.
