This is an answer to a similar but not identical problem.
I bought a video card (PNY) with NVIDIA GeForce GT 730, connected by HDMI to a Samsung U28E590D 4k capable monitor. Windows 7 x64.
The NVIDIA Control Panel -> Change resolution screen shows HDMI - HDTV, and Ultra HD, but only with maximum resolution "1920x1080 (recommended)".
The Windows Screen resolution application:
(Mouse right on desktop)->Screen resolution application
is showing only 1920 x 1080.
I tried installing the Samsung driver from the CD that comes with the monitor, no help.
What finally worked was this.
NVIDIA Control Panel -> Change resolution -> Customize...
then
Create Custom Resolution...
then
Display mode
Horizontal pixels: 3840
Vertical pixels: 2160
Refresh rate(Hz): 30.
Then, IMPORTANT
change the timing from Automatic to one of the other choices. I think the best choice is "CVT reduced blank".
Automatic timing gives a very fuzzy screen. But one of the other timings apparently tell the video card to use native resolution correctly.
Aside 1:
In the course of chatting with NVIDIA support, they pointed me at a tool that will show you what your monitor is telling your computer about its resolution and color capabilities:
http://www.entechtaiwan.com/util/moninfo.shtm
Aside 2:
This monitor is only 28". Full 4k resolution is very tiny. So I ended up creating a custom resolution of 2560 x 1440, 60Hz.
You tried updating the drivers or you did update the drivers? What version of HDMI cable are you using? your Nvidia and Intel GPU should have no problem doing this. – Ramhound – 2015-02-23T11:47:01.207
I updated to the latest drivers and using the HDMI cable supplied with the monitor which has ethernet, so I guess it's at least version 1.4 – GeoHotz – 2015-02-23T12:35:04.323
Is it possible that the limitation could come from HMDI output, or does HDMI output have the same limitation as the graphics card? – GeoHotz – 2015-02-26T12:04:31.813
Your monitor supports 4k. Both GPUs in your system supports 4k. The problem likely is a display driver problem honestly. – Ramhound – 2015-02-26T12:07:06.350