How fast does an electron move? 2200 km/s.
How fast does an electrical signal propagate from one end of a circuit to the other? This is a much more relevant, but also more difficult, question. The unit used to measure this performance is called Velocity Factor [1]. Unfortunately, I don't know what the VF would be within a modern microprocessor, but in a wire, it varies from 50% to 99% of the speed of light in a vacuum.
As is typical for mass media news, this story has been summarized in a way that glosses over a lot of the detail.
Photonic computers have a very, very long way to go. Even this tiny beam beam splitter is thousands of times larger than current transistors. Intel uses a 14 nanometer process for Broadwell. The University of Utah beam splitter is 2400 nanometers square. Let's not ignore the fact that a beam splitter and a transistor aren't even close cousins. A beam splitter can't perform any logic.
All of this technology is still very much in the realm of basic science. A lot of the assumptions about the speed improvements are based on napkin math involving theoretical numbers. If anyone ought to know that the difference between theory and reality is often muddied by the trip through the physical world, it would be Photonics researchers. Fiber optic (probably the most widespread application of Photonics research) performance is significantly impacted by real-world factors. Far more so than electromagnetic mediums.
[1]: http://en.wikipedia.org/wiki/Velocity_factor#Typical_velocit...