We've all been there, we've all done it - Taken out the delicious soda bottle from the fridge, thrown it on the couch, sat next to it only then to realize, that the throw has shaken it and we now have to wait until the pressure has cleared or we are in for an entire afternoon of cleaning.
What is the fastest way to depressurize a shaken bottle that contains carbonated beverage?
Swap it for one still in the fridge, and walk away.
There is no way to "calm down" a soda quickly after it's been shaken; it'll take a minimum of an hour or so sitting quietly in refrigeration of the carbon dioxide to redissolve and the pressure inside the bottle or can return to its normal value.
The closest I've ever been able to come is to open the bottle very, veryVERY slowly. And if it's badly shaken, this may only result in getting a soda shower.
Turn the bottle upside down, keep it there for maybe 20 seconds, then slowly turn it right side up, and open. This is an old waiter's trick for use with accidentally-shaken champagne bottles... I assume it will work for soda too.