Every single renderer will have problem with that :) No matter how many AA samples you do, if one pixel has value of say 500, and second one 0.5, even if you do many AA samples, the difference will still be big enough to create sharp transition. In real world, such super bright spots are usually covered by some bloom or glare optical effect. If there was some real camera, that could take photos without these secondary optical effects, you would see exactly the same problem even on real world photos.
So there are two options:
Sacrifice dynamic range of your image and increase highlight compression to some very high value.
Save the image as 16 or 32bit format, and use some post processing software to add bloom and glare to your image.