At the moment your options are pretty limited.
As Alpha alluded to, Nvidia has implemented a cheat that allows you to get 60Hz at 4K. Basically it reduces the colour space, so it's not a perfect solution. Apparently it's reasonable for video and gaming content, but looks pretty average for desktop and would be terrible for video or photo editing. Details are here:
http://www.tomshardware.com/news/nvidia-kepler-4k-hdmi-1.4,27117.html
Displayport 1.2 properly supports 4K @ 60Hz, but at the moment there are no DP to HDMI 2.0 converters. Given that the use-case your looking as is going to be increasingly common, I would expect these adapters to start appearing on the market in the not-too-distant future. I'd expect to pay a good deal of cash (like $100 +) if you're an early adopter though.
Unfortunately, at the moment your stuck with 4K @ 30hz, or accepting Nvidia's hack/cheat mode.