QTS means you have qualified teacher status- this means that you are qualified to teach in any school in England. A PGCE is a post- graduate certificate in education. This means you have a Masters level certificate in the study of education. You can have QTS without a PGCE which will allow you to teach. You can have a PGCE without QTS which means you will have a Masters level qualification but you are not qualified to teach in a school (this is not common). Or you can have both a PGCE and QTS which means you are qualified to teach in England and possibly beyond and have a Masters level qualification in education.