How to DC method representation for the rank-one constraint in CVX

As I posted on your previous question, how to do DC representations and how to use the majorization-minimization technique are out of scope of this forum.

But if someone wants to post how, they are free to do so.

You may (or may not) find this post from @stephen_boyd helpful as to a heuristic (non-guaranteed) way to deal with non-convex usage of two-norm.