Important Things to Note:
Practice, Practice Practice! The meat of most quantum problems are simply matrix mechanics, so it’s important to grind these problems until you can do them blind. Zettili has a ton of solved problems and thus is a great book to use to study.
Helpful Problems & Solutions (solved in textbook below problem):
Chapter 2 & 3 in Zettili:
These problems are a good warmup, but feel free to skip them because they are pretty fundamental!