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"QED: The Strange Theory of Light and Matter" by Richard Feynman: http://www.amazon.com/QED-Strange-Theory-Light-Matter/dp/069...

I read this book in high-school and learned about as much as I did in 4 undergrad physics courses about quantum mechanics. There's no mathematics in this book, so it doesn't teach you how to calculate anything (for this, a physics degree helps), but the principles are presented very nicely.

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I second that and after if you are keen it can be good to look at the Feynman Lectures vol III, Chapter 5 where he talks about spin. He deliberately leaves spin out of QED to keep things simple. Also if curious there's the Feynman lectures on Gravitation where he tries to figure out quantum gravity and fails like everyone else. One thing I like about Feynman is his talks are based on experiments - if you fire electrons at two slits this happens (QED) or if you send them past a magnet that happens (Ch 5). This is in contrast to most popular science books which go on about spooky cats or most academic treatments which launch into a bunch of abstract maths without looking that much at what's going on physically. I find it much easier to get my head around the real experiment approach.

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