...I hear y00 are very l33t, Pl33z teach m3 all y00 know
Koan 1: "When Qt entered the world, the world became Qt."
...actually you do not need to understand Zen to become a master in any technology, but it might help... (not much though)
The important thing is to relax. Other than with some systems the answer is not only there, but waits for you without hiding from you - you only need to open your eyes and look.
Programming takes time and a relaxed mind. Don't be hasty, don't give up too early. Relax.
You have already mastered the most important part by reading this far: you took some minutes to read. Go on, you are on the right path.
Koan 2: "Closing your eyes does not make the tiger disappear."
There is lots of information out there that waits to be recognised. Here are a few examples:
Koan 3: "If you want me to believe in the candle's light you have to show it to me."
If all that information does not help you (or you need help interpreting it), you need to ask questions.
Task 1: find a place to ask your question.
Task 2: find a way to ask the question.
Don't start posting immediately! Get a feeling for what precise questions are asked in the group/forum/list and how they are asked. To get a good answer it is important to ask a good question - there are no dumb questions, but there are certainly dumb ways to ask them.
Ask yourself these questions:
The answers to those questions already make 80% of what you need to post as your question.
Most of those lists/forums are run by people who do this for fun in their free time. They have no obligation to you - demanding anything from them does not help in the least - so bear in mind to ask politely and not to waste their time with voluminous descriptions of unimportant details or by leaving out key facts.
A good introduction to asking smart questions has been written by Eric S. Raymond. Read it - it will help you understand the answers and how to avoid the more insulting ones.
Koan 4: "Some have walked this path before you, some will walk it after you, some go a different path. Those who don't walk will never reach enlightenment."
Qt is not some kind of pixie dust waiting to be sprinkled upon a problem to magically solve it. Qt builds on top of C++, which builds on top of C. And it will most definitely not solve all problems (eg. it will not make the grass greener in your backyard or solve numeric problems). So it is important to understand what it is made for and to learn about the things it builds on.
Qt was created to solve the problem of cross-platform programming of GUIs. Newer versions of it (Qt 4.x) also support non-graphical programs, and have support for TCP/IP networking (UDP and TCP sockets), XML, several SQL databases. The GUI part also has an interface to OpenGL (3D graphics) and can display SVG graphics (so far only the Tiny model).
If you are already a good C++ programmer, you may skip the remainder of this section.
Qt builds on top of C++, so it is generally a good idea to learn C++ before one learns Qt. In order to understand C++ one should have some understanding of programming in general. Here is a simple to follow algorithm for this:
A word of warning: walking this path takes time. You cannot learn how to program in a few hours or even a few weeks. Don't be disappointed or over-confident too fast: it takes a few months to learn proper programming and several years to become an expert.
Koan 5: "Only when you reach the peak you will see that the mountain is below you."
Trolltech also has some tipps on how to learn Qt.
Koan 6: "The path has no beginning, the path has no end. Yet only those who walk it will see the next town."
Keep using Qt, try to find your own answers, try to give good answers for others.
On the day you get a job offer from Trolltech you will know that you are almost there to be a Qt guru... ;-)