David Mermin has written a very good introduction specifically targeted towards computer scientists and mathematicians looking to learn and contribute to this f

David Mermin has written a very good introduction specifically targeted towards computer scientists and mathematicians looking to learn and contribute to this field. His book "Quantum Computer Science" is really great, and I highly recommend reading it if you're interested in learning more. Basic linear algebra is pretty much all that's required, although familiarity with mathematical notation definitely helps. A good place to start might be this paper by Mermin, which defines classical computing bits (Cbits) in a specific mathematical framework and then expands that definition to define Qbits and their states: https://arxiv.org/pdf/quant-ph/0207118.pdf https://arxiv.org/pdf/quant-ph/0207118.pdf