Can someone explain to a muggle like me what is "Quantum Information" concretely? I'm asking this because I don't get it why the Hawking radiation "destroying information" is so controversial. Quoting Wikipedia:
This is controversial because it violates a core precept of modern physics — that in principle the value of a wave function of a physical system at one point in time should determine its value at any other time. A fundamental postulate of the Copenhagen interpretation of quantum mechanics is that complete information about a system is encoded in its wave function up to when the wave function collapses.
If "information" means "wave function", then doesn't it mean that the particle that trespassed the event horizon collapsed? And why "information" being destroyed such a big deal? The Universe was filled with with virtual particle popping up into existence and annihilating continuously, isn't it? When they pop up into existence, information is created from nowhere, and when they annihilated that information is gone, right?