will i be able to work in us with UNI OF EDINBURGH diploma?
Do you mean a degree?
A degree from the University of Edinburgh will do just as well as a degree from a comparable US uni. Whether you will be able to work in the US depends on 1) whether you already have the legal right to work in the US and 2) whether employers want what you have to offer.
This is pretty much the same answer as you got the last time you asked this question (about UK unis in general).