5.3 Computability of Quantum Creation

5.3.1     Preparation for The Proof of “Quantum Creation is Computable”

Assumption 4: Creativity is “more” than intelligence in that it can be non-logical but more innovative.

We emphasize the “more” part beyond intelligence.  This assumption basically takes a strong position to say intelligence is part of creativity, and not the other way around.

Schmidhuber [37] in his formal theory of creativity asserts that Innovation, Interestingness, Surprise or Aesthetic Value is caused by something called “(classical) intrinsic reward”:

5.3.2.4      Challenges and Considerations

While the proof shows that quantum creativity is theoretically computable, there are several practical challenges:

- Quantum Hardware Limitations: Current quantum hardware may not be able to execute complex quantum creativity algorithms efficiently due to decoherence and noise.

- Approximation in Kolmogorov Complexity: Quantum Kolmogorov complexity is semi-computable, meaning that we may only approximate the complexity, not compute it exactly.

- Verification Process: Measuring quantum utility in real-world tasks might be context-dependent and could require specialized quantum protocols for different applications.

In summary, the proof demonstrates that quantum creativity is computable under the assumptions of quantum Kolmogorov complexity and quantum verification. While practical implementation is still challenging, the theoretical foundations appear sound.