This is the main page for Learning links:-

Quantum algorithms: an overview – Nature – an introductory review of some of the problems that quantum computers can solve, and why we should be interested in them.  A good resource for unraveling the jargon behind quantum computing, with only passing familiarity with mathematical terminology assumed.

Quantum Computing Now and Next – a16z 26 minute podcast.
IBM Quantum Experience  Interesting Blog Post for IBM Quantum Experience including guided tour of how their cloud quantum computing tools work.
Quantum Physics Notes – from Macquarie University (238 well-written pages).

Understanding Quantum Computers – 4 hours per week, 4 week-long online course that looks interesting and free.

See also the Topological Quantum Computing sub-page.