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The bible is Nielsen and Chuang's Quantum Computation and Quantum Information: http://www.amazon.com/Quantum-Computation-Information-Cambri... See also these resources in Nielsen's blog: http://michaelnielsen.org/blog/writing/

That looks interesting. Does one need to have a background in QM before reading this? If yes, what would you suggest as a good read on basics of QM?

Let me double-check it today, but I think that it introduces the basics of QM. You need to know some linear algebra though.

I started reading this, and boy am I loving it - thank you :)