SemiAccurate is reporting that AMD is planning on launching Radeon-branded solid state drives fairly soon. It was just last year that AMD decided to launch their own Radeon-branded RAM to market and they clearly want to continue expanding the Radeon brand beyond just video cards.
Of course, the solid state drive wouldn't be produced by AMD. Instead, they will likely take a solid state drive produced by an ODM and label it with Radeon stickers and market it as their own. This is the method that they employed for bringing their RAM to market, and more recently, their RAMDisk software.
AMD is likely trying to build a platform similar to Apple, where every component in the system can be AMD. This way they can market the stability of the system as all of the components are AMD and should work together well. Similar to Intel's "Better Together" marketing campaign, AMD could market the platform and its performance as a whole.
This is just a rumor, for now, but it's definitely one that could prove to be true.