I have a PhD in numerical analysis for PDE, and for this reason I have a very strong background in functional analysis, Hilbert spaces / linear and nonlinear operators, algebra, but also probability.
For job reasons, I need to learn quantum computing at a very "operative" level (I need to write quantum programs, basically), but I am stuck as I feel I am lacking too much of quantum mechanics background.
I can see that there is plenty of material and lecture notes about quantum mechanics, but I feel like the bridge between quantum mechanics and quantum computing is missing somehow. In addition to that, as I think as a mathematician, to me is difficult to understand some concepts while reading the some lecture notes or book.
How can I bridge my background in mathematics to effectively learn quantum computing at an operative level, despite lacking a strong background in quantum mechanics? Can you recommend material that can help me connect the dots between quantum mechanics and quantum computing, particularly from a mathematical perspective?
