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Re:NSA announces plans for transitioning to quantum resistan... by Thorondor on Saturday August 15, 2015 @09:13AM (#10065284)
The paper http://arxiv.org/abs/0708.0261 is a reasonably good introduction with a fair amount of math.

If you're looking for a non-technical overview, you might try https://uwaterloo.ca/institute-for-quantum-computing/quantum... but I don't think English alone is precise enough to explain anything really interesting about quantum computing.

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