Quality is about making sure that the solution is the right solution.
I have been responsible for the quality of many projects that I have led.
Quality is not just about checking for the absence of bugs. There are many other factors to consider. For example:
Quality assurance is about monitoring processes and methods used to ensure quality. Methods of quality insurance include ensuring conformance to standards such as ISO 9000 or CMMI. I have experienced many cycles of quality improvement during my career.