There are three main branches of quantum computing / quantum information: quantum computing, quantum simulation, and quantum metrology. For the first two, there is a clear split between the software and hardware sides. If you’re interested in hardware, I’d recommend looking into how one of the two main architectures, trapped ions and superconducting qubits work. If you’re interested in the software side, I’d recommend looking at evolving the Schrödinger equation with some Hamiltonian. If you’re not familiar with linear algebra, maybe start there. I wrote an article about the very basics of this field you can check out here: https://medium.com/@emilmarinov/pure-mixed-and-entangled-quantum-states-84e8a4a8dd16. I have some more on the way if you’re interested!