As detailed at https://en.wikipedia.org/wiki/No-hiding_theorem , in the quantum world, information cannot be created or destroyed.
The Bekenstein bound limits the amount of information that can be stored within a spherical volume, with the limit equal to the entropy of black hole of that surface area. https://en.wikipedia.org/wiki/Bekenstein_bound
Per the big bang theory, the universe was once smaller than the earth.
The entropy of black hole that is smaller than the earth, is less than the amount of quantum information in the current universe.
In brief, information cannot be created, yet there is more now than there could have been in the past! The conservation of quantum information seems to be incompatible with the big bang theory.
The obvious answer is that an expanding universe is not a closed system; but it is expanding due to quantum effects with no external forces, so the no-hiding theorem should still hold.
My question is this: Which of the statements 1..4 is incorrect, and if none are incorrect, how is quantum mechanics compatible with the big bang theory?