There are different ways to get in. There isnt an official way to get into it really.
The easiest way is to look up SQA training in your area and try to find companies that will hire you and teach you. these companies wont usually ask for any technical knowledge or degrees. They will usually put you in a class with like 10 people for a few days and pick out the most enthusiastic people and hire them. They look for hungry people that show them they are fast learners. If you get picked, and take my word for it its hard not to get picked, they hire you and put you on a project where they teach you as you work.
The way I got into it was I found an unofficial 2 month course that taught how SQA worked took it. Its unofficial cause its not a real school and you dont get a cert or anything. You just pay them and they teach you. So i took that class, learned what i had too, created a fake resume with 5 years of experience and gave it out to recruiters and applied to contracting jobs. There is less of a chance of background checks when it comes to contracting jobs. So I did that, did 8 interviews, learned from them, and got a job on my 9th interview.
The first way is easier, the second way got a much better payoff cause you can bypass starting salary and start at like 70k.
Anyone interested should try both ways at the same time. look up sqa jobs on monster.com where you live and try to find companies that will hire you and teach and at the same time look up a raggedy ass SQA school and try to learn and cheat your way in.
If you do some research and decide you might actually wanna try to get into it, I can try helping