Unfortunately for Beijing, it sounds like one already made popular around the world: "Let It Go" from Disney's Frozen. The Olympic song is named "The Snow and Ice Dance," but the comparisons don't end there. The website of a Chinese business magazine says the two songs both feature a piano as the main instrument, have a similar opening, and almost exactly the same tempo, per the New York Times.
Listen to the Olympic Song
Listen to 'Let It Go'