Hillary Clinton is a big favorite to win the swing state of Iowa if she runs for president in 2016, according to a new poll.

The Quinnipiac University poll shows Clinton leading four top potential Republican opponents by at least 10 points.

Sen. Rand Paul (R-Ky.) comes the closest, trailing Clinton 49-39. Clinton beats New Jersey Gov. Chris Christie 48-35; Sen. Ted Cruz (R) 51-35; and former Florida governor Jeb Bush, 51-37.

The poll also has bad news for Vice President Biden, with 62 percent of the state's voters -- including 37 percent of Democrats -- saying he would not make a good president.

As always, polls this early out don't mean a whole lot, apart from telling us about early perceptions of these candidates and what shape they'd be in when beginning a presidential campaign.