(Last updated Apr 29 2016)
If you attempt to install Fedora 23 (any spin) on the 2016 X1 Carbon you'll receive a black screen just after kernel selection. This is caused by a kernel bug. You will need to add intel_pstate=no_hwp to the kernel boot arguments, which you are able to do from the kernel selection screen. After installation you must do this again to boot into the installed OS. Once booted, I recommend adding intel_pstate=no_hwp to your /etc/default/grub and running sudo grub2-mkconfig -o /boot/efi/EFI/fedora/grub.cfg, which will then cause any kernel to have this parameter added to it.
Once Fedora ships with the upcoming 4.6 kernel (and perhaps a patch to the 4.4 kernel, but that remains to be seen), you should be able to remove this argument.
~~Update Apr 21: The 4.4.7 kernel was released but still has these issues. It appears that the fix will be shipped in the 4.4.8 kernel: htt