It seems the announcement of "root for Samsung device x" always manages to occur well before most consumers actually have their hands on it. Today marks yet another such occasion, with the Galaxy Note 10.1 having already been cracked by Zedomax over at the surprisingly aptly-named RootGalaxyNote.com.
It's so easy that I'm just going to give you the gist, head to the source for the full instructions. Basically, you need a Galaxy Note 10.1, Odin, Samsung USB drivers, and a firmware file. All of this is available there. The one catch is that the root method used here is "pre-injected" firmware, meaning you'll have to flash either a Saudi Arabian / UAE or European firmware to your Note 10.1.