I imagine the WH has a fairly decent network of transceivers at their disposal...Fill the air with white-noise and PLOP! It'll be the greatest Yard-sale for DIY electronics ever !
At least, that's my hypothesis. I find it difficult to believe they don't have some old 1950s tube device in the basement of the WH for just such purposes. Probably beside Obama's micro-brewery.
I doubt filling the air with noise would do much to a frequency hopping 2.4ghz spread spectrum signal. Its not anything like the old 72mhz days of radio control. The Receiver of the DJI Phantom 2 (which is what that drone is) has to see a special identifier for it to even look at the signal, it would ignore every signal that didn't have that identifier. It also switches the signal hundreds of times per second. Its ability to be extremely hard to intercept and jam are the reasons why the military has been using Spread Spectrum for all these years.
Most likely a discharged battery is to blame, mechanical failure or possibly losing the signal due to distance. The 2.4ghz SS signals of low power R/C equipment are good for up to 6 miles at LOS, less if amongst a bunch of trees or very tall buildings, so I lean more towards power loss. There are also mechanical difficulties that could have gone wrong. Upon signal loss the aircraft normally would return to home by use of GPS, this didn't happen so I assume some other trouble. Obviously the drone impacted hard enough to break the frame, so I also assume a rapid descent, which also would only happen with a low battery or a mechanical failure.
Not saying it could not be jammed, but then radio communication would be altered in the vicinity, which I know cell phones work at the WH, so hat leads me to believe that there is no signal jamming.
Perhaps Obama will request a large clear acrylic bubble to be placed around the WH?