I confirm these crashes on my Windows 7 Home Premium 64bit PC, too. I don't use Zonealarm, just Avira Antivirus Free - and I don't suspect it to cause the crashes.
The game crashes now and then, before the logo or anything appears, in the first 2 starts it freezed with 100% CPU usage in the main menu and I could only kill it manually. But after that, I got it running by changing the graphics settings with autodetect.
Now I had a crash with the same notification as the crashes that appear before the game starts - this time from within the running game, it actually generated a dump file. Here is the crashdump and my DxDiag file:
https://www.dropbox.com/s/hv0uwng4ezmkuxa/Arma%203%20Alpha%20Crashdump%20and%20DxDiag.7z?m
That should help.