Notice the feather detail on the algae. This is what you are looking for in your tank to confirm or deny identification. If you do have it be prepared for a fight:
1. Try to get on it quickly. If it is only on one rock remove the rock, remove algae, starve of light in a QT.
2. Manual Removal - If that doesn't work or get it all, remove all you can by hand. People will tell you not to do this because it will spread. Let me assure you, left untreated byropsis will spread. Just be careful about it, and if you can pull the rock out to remove it all the better. If takes hold in the sand sift it out with a net. If you don't remove the base of byropsis you are wasting your time.
3. Starve it out - As always if you can get down nutrients nuisance algae has a harder time taking hold, or coming back after manual removal.
4. Repeat steps 2 & 3 aggressively.
5. If that doesn't work try raising your magnesium to very high levels. I don't want to be blamed if this causes losses in your tank, many people have done this with great success and minimal stress, but still....please do your research and don't blame me if something goes wrong.
I say QT. Here is a good article:
Reef Central Online Community - Finally an easy solution to bryopsis!
John's Tip: save your money on CUCs, if it is truly byropsis the normally sold CUC members, (in regular numbers at least), will not finish it off, only pick at it which is what we can do with manual removal in 2 minutes time. Opaque cutouts shaped to cover an area of byropsis can be put between the light source to shade them out. Remember fire and corrosion concerns, tupperware might work, but remember soap, chemical contaminant concerns.... Home Depot bucket lids make good cutouts.