But if it really is the Google CEO's account, it might be a sly joke on Facebook.
Just yesterday, Google announced a competing features for Gmail, which Facebook would like to compete with, by announcing its Google Buzz product.
The profile, which TechCrunch has confirmed is linked to Schmidt's personal email, features a relaxed, smiling Schmidt in pink and green.
Schmidt also has a Google Profile linked to a verified google.com account -- but there's not much there.
In passive-aggressive Silicon Valley language, the Facebook profile basically says, "You are no threat to me, and I will laugh as I lay waste to you puny upstarts -- why, just look at this friends list and weep, young [Facebook CEO Mark] Zuckerberg."
Indeed, one of Schmidt's listed friends is Barry Schnitt, a former Google publicist who jumped to Facebook -- sending the message that Schmidt has connections on the inside at Zuckeberg's headquarters.
Either that, or Schmidt might just be trying to keep up with Gates.
Jackson West is available to semi-professionally translate passive-aggressive social network profiles cues for an apparently nominal fee.