OpenGL state in a Qt application

I have a project that involves Qt and OpenGL. The task is to solve a bug that causes the corruption of the OpenGL context due to interfering libraries that access the same OpenGL state. The job is similar in scope to this StackOverflow thread https://stackoverflow.com/questions/11388039/how-can-i-hunt-down-these-opengl-calls-that-are-distorting-objects-in-my-scene.