The SoS site gives info about corporation names, but not about their logos.
42 Widgets, LLC can operated Ponchy Has No Strawberry Fields Diner is it wants, even if there is a Ponchy Has No Strawberry Fields, LLC.
This is less common and corporation names often have some relation to the business, especially in one that is narrowly focused.
But the issue is the brand, the logo, etc. You just can't set up shop with the same logo, colors, symbols as a similar business.
Apple cars could come up with a logo that is different from the Apple computer logo, and that'd be cool, provided it wasn't too similar (to be decided by bureaucrats or courts. Clearly, you can have Giants, Cardinals, Panthers, etc. with common names, but the logos etc. have to remain distinct enough to avoid affecting commerce.
See here for a suit (tossed out) brought against the Bucs by the Raiders:
http://tam.scout.com/2/106517.html
Sure, it didn't result in penalties, etc., but the this is the kind of thing that is at issue.