Conspiracy in ontological models with measurement contextuality

TL;DR

This paper analyzes how ontological models with measurement contextuality exhibit a conspiracy where ontic states respond contextually, challenging assumptions like lambda-sufficiency and revealing structural inconsistencies.

Contribution

It provides a general physical picture of ontological space and demonstrates the inconsistency of lambda-sufficiency with measurement contextuality under certain symmetries.

Findings

Lambda-sufficiency is incompatible with measurement contextuality in symmetric ontological models.

Ontological space structure is affected by measurement contexts, leading to disturbances in ontic states.

Measurement contextuality imposes constraints on ontological models, challenging classical assumptions.

Abstract

The conspiracy of ontic states responding to measurements contextually to comply with noncontextual quantum mechanical probabilities is analyzed for general ontological models. A general physical picture of ontological space structure and how ontic states are disturbed by measurement contexts is presented. A common assumption in ontological models called lambda-sufficiency is analyzed and argued to be inconsistent with measurement contextuality for ontological models with certain symmetry in ontic space with respect to quantum states and measurements.