The "best" interface we have right now is DP1.2. I'll quote what I've written before on bandwidth / refresh limitations for high-res screens:
Displayport 1.2, with a quad-lane interface, can manage ~17Gb/s. That's enough for 120Hz at 2560×1600, or around 60Hz at "4k" resolution. To get 120Hz at "4k" you would need, at least, two DP1.2 connectors. The GPU would need to output (say) alternate frames from each displayport adaptor. Either that, or output half the image from one port and half from the other.
New standards are always on the horizon, but using an existing displayport interface, the obvious way to increase bandwidth is to use more multiple displayport adaptors. For 4k at 120Hz you would need at least two DP1.2 adaptors.*
Note that HDMI 1.4 (the latest and highest bandwidth spec of HDMI) has around half the bandwidth of DP1.2, and so would be capable of only around 30Hz on a 4k screen.