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by drdre2001 3295 days ago
Linear Algebra is very important for Quantum Computing. You have a masters in engineering, so you shouldn't have any problems with the math. I suggest you review the basics of Linear Algebra if you haven't applied that knowledge in a while.

John Preskill's lecture notes are invaluable. They start from the basics of Quantum Computing, to Quantum Theory, all the way to advanced concepts such as Topological Quantum Computation:http://www.theory.caltech.edu/people/preskill/ph229/

You can also look over the Quantum Computation course that is hosted at OCW. The instructor for this course was Peter Shor who invented the seminal "Shor's Algorithm":https://ocw.mit.edu/courses/mathematics/18-435j-quantum-comp...

These will be enough to get you started, but it is good apply your knowledge by implementing the quantum algorithms that you have learned.There is a huge list of simulators you can use:https://www.quantiki.org/wiki/list-qc-simulators

I know you want references to open courses, but reading papers shouldn't hurt either. I don't know how much experience you have with Quantum Mechanics, but this paper:https://arxiv.org/abs/0708.0261 explains Quantum Computing very well by referring to concepts in Classical Computing. You should read this first if you are not familiar with Quantum Mechanics.

Let me know if you have any questions and good luck!