It seem that Ubuntu 16.04 LTS supports the ZFS filesystem. But how do I use it? I'm sorry, I don't know very much about ZFS, but it sounds good. I want it.
First off, use ZFS only if you really want it. See the Use Cases to know if you really need ZFS.
ZFS is supported only in 64-bit Ubuntu 16.04 installs. To install it run:
sudo apt-get install zfsutils-linux
A good introduction can also be found here
Since I only have 1 reputation, I can neither upvote nor comment on Xavi's answer, which is the correct one. Things not to do include: