According to the Dragon Ball Wikia
Akira Toriyama's notes for the form seem to indicate that this state is simply the Super Saiyan God Super Saiyan (blue) state with pink hair.
but according to this website in spanish, there is a japanese magazine which says
Super Saiyan Rosé is the Super Saiyajin (golden) version of Black Goku
Super Saiyan Rosé is the Super Saiyan version of Goku
None of the sources is an official source. Any other info states which version is the equivalent of Super Saiyan Rosé, Super Saiyan Blue or Super Saiyan (golden) ?