Quantum physicsWatch this thread
If you're asking if you can do a degree that is specifically geared towards quantum physics and ignores other branches of physics, probably not. Any IoP accredited physics degree in the UK (which is basically all of them) has a set of things that they need to cover. These includes the basics or grounding of classical and quantum mechanics, special relativity, thermodynamics and statistical physics, electromagnetism and optics, electronics and a bunch of other things. If you do a physics degree, you should get the opportunity to specialise your degree more towards quantum physics though in terms of research areas, quantum physics is really vague because it's so broad and so applicable and relevant in lots of different areas.
The tldr I guess is if you want to learn about quantum stuff, do a physics degree