Note: I would like to transfer a 2560x1440 resolution!
In other words, you need was is a converter. Not a passive adapter or a a plain cable with both HDMI and [mini]DP connectors on them, though some of the items sold as 'DP to HDMI cable' are actually one of these despite the sellers incorrect labeling.
Searching the web for
HDMI "to Displayport" yields a lot of results. Sadly most of them seem to be for "DP to HDMI", rather then "HDMI to DP". I found at least one device which came close, though it was limited to 1920x1200. Note how bulky it looks compared to most 'cables'. There are active electronics in there.
Though the example image is from startech, there are at least two other companies making similar devices. (E.g. Apple and Sapphire).
Disclaimer: I do not work for any of those three. They are just the first ones I found.
Maximum Digital Resolution: 3840 x 2160
Maximum VGA Resolution : Up to 2048x1536
If not correct work, use external video card.
max. resolution: 4K (2160p) (It is 3840×2160 (8.3 megapixels in the 16:9 aspect ratio) and is one of the two resolutions of Ultra-high-definition television)
Transmission modes: digital audio and video signals
other supported standards: 3D, HDCP, DRM, E-DDC, E-EDID, 4K (2160i/p), Full HD (1080i/p), HD ready (720i/p), SDTV (480i/p)
max. transfer rate (Gb/s) 10,2