As much as I know there is no annotation like this. The best way is to use reflection as some of the others suggested. Look at this post:
How do I test a class that has private methods, fields or inner classes?
You should only watch out on testing the exception outcome of the method. For example: if u expect an IllegalArgumentException, but instead you'll get "null" (Class:java.lang.reflect.InvocationTargetException).
A colegue of mine proposed using the powermock framework for these situations, but I haven't tested it yet, so no idea what exactly it can do. Although I have used the Mockito framework that it is based upon and thats a good framework too (but I think doesn't solve the private method exception issue).
It's a great idea though having the @PublicForTests annotation.
Cheers!