After many decades of development has a working quantum computer that lives up to the claims made for it actually operating?

Last I heard, the largest number factored by a quantum computers is 56,153=241 x 233

http://phys.org/news/2014-11-largest-factored-quantum-device.htmlFactoring numbers has attracted a lot of attention because it could potentially be used to crack encryption.

If so, we are not likely to hear about it soon. Last year, DARPA reportedly spent $70M on quantum computers. The NSA budget is unknown, but as soon as DARPA uncovers something interesting, you can be sure NSA will spend far more than DARPA.

There are a variety of other potential quantum algorithms known, see:

https://en.wikipedia.org/wiki/Quantum_algorithmBut perhaps numerical problems are not necessarily best suited to quantum computers. Perhaps solving

*quantum* problems like determining the probability density of an electron in an atom, or the shape of a molecule might be better suited to a quantum computer?