Scott Aaronson has a good introductory article in Scientific American[1], and he also wrote a short, accessible article aimed at high school students in 2002[2].

Then there's Berkeley's CS 191 Qubits, Quantum Mechanics and Computers syllabus and lectures[3].

Tel Aviv University has lecture notes for the 1997 Quantum Information Processing course online[4]. These are old, but the information is still fundamentally accurate if what you're looking for is a breadth-wise introduction to the topic.

There's the paper, From Cbits to Qbits: Teaching Computer Scientists Quantum Mechanics on arXiv[5].

I assume you have a computer science background; if that's the case, you might want to start with for light reading on the meta between classical and quantum computing, then dive into one of the lecture notes series. The first two resources are much more digestible; if you're looking for something to read in 10 minutes or so and come away with a basic understanding of the field, those are what you want to read. _________

1. http://www.cs.virginia.edu/~robins/The_Limits_of_Quantum_Com...

2. http://www.scottaaronson.com/writings/highschool.html

3. http://www-inst.eecs.berkeley.edu/~cs191/sp05/

4. http://www.tau.ac.il/~tsirel/Courses/QuantInf/syllabus.html

5. https://arxiv.org/abs/quant-ph/0207118

And PBS Infinite Series, also on youtube, has some good mathematical explanations of quantum computation and relevant algorithms.