Questions about the philosophical interpretation of quantum computer:

1. Can a quantum model unlike a classical model coincide with reality?

2. Is reality interpretable as a quantum computer?

3. Can physical processes be understood as computations of quantum computer?

4. Is quantum information the fundament of the world?

5. Does the conception of quantum computer unify physics and mathematics, thus, the material and the ideal world?

6. Is quantum computer a non-Turing machine?

7. Can a quantum computation be interpreted as an infinite classical computational process of a Turing machine?

8. Does quantum computer introduce the notion of “actually infinite computational process”?  

Any computer can create a model of reality. The hypothesis that quantum computer can generate such a model designated as quantum, which coincides with the modeled reality, is discussed. Its reasons are the theorems about the absence of “hidden variables” in quantum mechanics. The quantum modeling requires the axiom of choice. The following conclusions are deduced from the hypothesis:

A quantum model unlike a classical model can coincide with reality. Reality can be interpreted as a quantum computer. The physical processes represent computations of the quantum computer. Quantum information is the real fundament of the world. The conception of quantum computer unifies physics and mathematics and thus the material and the ideal world. Quantum computer is a non-Turing machine in principle. Any quantum computing can be interpreted as an infinite classical computational process of a Turing machine. Quantum computer introduces the notion of “actually infinite computational process”.

The hypothesis is consistent with quantum mechanics. The conclusions address a form of neo-Pythagoreanism. Unifying the mathematical and physical, quantum computer is situated in an intermediate domain of mutual transformations.