Earlier quoted context omitted.
The machine solves QUBO problem. You program in the Q_ij and a set of X's is returned as answer. http://en.wikipedia.org/wiki/Quadratic_unconstrained_binary_...
(Also equivalently and more commonly known as the Ising Model). The D-wave chip is just a very fast hardware-based Ising model solver. You can use it to both find the minimum of a problem through cooling, or by controlling the temperature of the system you can also do sampling. And since so many important problems can be reduced to an Ising model, this is interesting. What I don't fully understand is why is it so imp…
Unconstrained optimization is NP-hard problem, and quantum approaches won't change that. However, D-wave hopes they are faster in solving optimizations than classical solvers, something they haven't demonstrated yet. The fact whether D-wave is actually a Quantum machine is interesting to Computer Scientists and Physicist who care about accuracy of commercial hype, and also to D-wave's future customers.