Classical predictions for intertwined quantum observables are contingent and thus inconclusive

TL;DR

This paper discusses how classical predictions for intertwined quantum observables are inherently dependent on arbitrary configurations, leading to strong classical value indefiniteness and highlighting the limitations of classical evaluations in quantum contexts.

Contribution

It reveals the contingent nature of classical evaluations of quantum configurations and emphasizes the arbitrary choice of configurations affecting the relations among quantum observables.

Findings

Classical evaluations induce relations like true-implies-false and true-implies-true.

Configurations (gadgets) lead to strong classical value indefiniteness.

The choice of configuration is arbitrary and not motivated by physical principles.

Abstract

Classical evaluations of configurations of intertwined quantum contexts induce relations, such as true-implies-false, true-implies-true, but also nonseparability among the input and output terminals. When combined, these exploitable configurations (aka gadgets) deliver the strongest form of classical value indefiniteness. However, the choice of the respective configuration among all such collections, and thus the relation of its terminals, remains arbitrary and cannot be motivated by some superselection principle inherent to quantum or classical physics.