I am I new to Angular and UI Router.
Plunk http://plnkr.co/edit/1wfyrGryfGG5RtXozPFY?p=preview
Setup I have three top level
I wanted similar functionality too, but ui-router doesn't yet support it. I forked ui-router to support "parallel states" and submitted it to the project for comment. The gist of the conversation is that ui-router will eventually support some form of parallel states but not yet. In the meantime, you can try my fork of 0.2.10 which provides the parallel states that you want.
Read the conversation here: https://github.com/angular-ui/ui-router/issues/894
View the sample parallel tabs plunk here: http://plnkr.co/edit/YhQyPV?p=preview
Here is the fork; build it with grunt: https://github.com/christopherthielen/ui-router