You simply do not need to believe this. The universe doesn't need to be "stored" somewhere.
> Quantum Computing is firmly based on pretending that this isn't how it is, that somehow you can squeeze 2^n bits of information out of a system with 'n' parts to it.
Quantum computing does not believe this. It is a theorem that you can only get n bits out of n qubits, and quantum computing speedups do not rely otherwise.
Noise is hard, but error correction is a mathematically sound response.