Quantum computing is still in the physical research phase, and it's not clear which qubit implementation will work and be scalable. It would be cool to see recent review papers and comparisons of current approaches, but I can't point you to any such.
On the theory side, the gate model is the standard approach for thinking about quantum computing and Nielsen and Chuang does a good job at covering it. If you need something more basic (to bring you up to speed), you can check out Ch9 in my book, which is an intro to Dirac notation and the quantum gate model: https://minireference.com/static/excerpts/noBSguide2LA_previ...