Update on Apr 14th, 2016: LXC 2.0.0 First Support for Ceph RBD : http://cephnotes.ksperis.com/blog/2016/04/14/lxc-2-dot-0-0-first-support-for-ceph-rbd %}
A simple way to secure your data with containers is to use a distributed storage such as Ceph for LXC root storage.
For exemple :
# lxc-create -n mycontainer …