I downloaded Qt 5.4 and created Qt Quick application with Qt Quick Controls 1.3.
I didn't change anything in code, just built it (as release). Then I copied .exe to another folder, added all the .dll files I needed and when I launched my program there was no window, just the program process running in the Task manager.
However, I can launch program which uses QtQuick 1.1.
How can I fix it?
Thanks.
Here is an image for some more explanation:

Sounds like you are missing the platform plugin. It should be in the folder of the executable, in a
platformssubfolder. That's why you aren't getting a window - the runtime fails to load the platform support plugin. On windows that should be aqwindows.dllfile.