Since it seems to be of interest I quickly prepared and started a USB stick with Ubuntu-Linux 12.04 "Precise Pangolin". The good news: basically everything works, WLAN, touchpad, sound, Bluetooth - everything there. Otherwise: the function keys are without their function and the power saving functions don't seem to work. This can probably be fixed with the right cpufreqd settings, but in "out-of-the-box" state, a battery life of not even three hours is "predicted". The CPU clock rate is also lowered by Ubuntu-Linux, but this does not seem to be the only power saving method ASUS has implemented - and which requires Windows drivers.
To save the honour of Ubuntu, it must be said that Ivy Bridge is a new processor generation and the HM67 chipset from Intel offers new functions and may not be optimally addressed by the Linux kernel - so there is still potential here. Also, activating/deactivating the Geforce GT 620M may not work as intended.
But since in my case the device was purchased as a Windows Ultrabook anyway, I will not spend any more time in Linux on the ASUS Zenbook UX32Vd rather there will be an update on how games work on the device, the first one to be used will be an older 3DMark.
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