Separability, Contextuality, and the Quantum Frame Problem
This work addresses foundational issues in quantum mechanics and AI, offering theoretical insights but is incremental in linking existing concepts.
The paper investigates the connections between state separability, contextuality in quantum systems, and the frame problem, proving the undecidability of a quantum analog of the frame problem. It demonstrates that contextuality arises from factors like basis choice and causal models, highlighting the prevalence of fine-tuning in non-contextual settings.
We study the relationship between assumptions of state separability and both preparation and measurement contextuality, and the relationship of both of these to the frame problem, the problem of predicting what does not change in consequence of an action. We state a quantum analog of the latter and prove its undecidability. We show how contextuality is generically induced in state preparation and measurement by basis choice, thermodynamic exchange, and the imposition of a priori causal models, and how fine-tuning assumptions appear ubiquitously in settings characterized as non-contextual.