Violating the assumption of Measurement Independence in Quantum Foundations

TL;DR

This paper explores the implications of violating Measurement Independence in quantum foundations, develops new models that depend on measurement settings, and proposes a classical simulation protocol for quantum channels.

Contribution

It introduces measurement-dependent models that challenge traditional assumptions and provides a protocol for simulating quantum channels classically using these models.

Findings

Developed a maximally psi-epistemic model valid for any Hilbert space dimension

Demonstrated that violating measurement independence affects ontological theorems

Proposed a classical simulation protocol for quantum channels

Abstract

Measurement Independence is an assumption used in foundational arguments since the EPR thought experiment in 1935, and assumed in a majority of hidden variable models of QM. In this thesis we review the crucial role of this assumption in several ontological theorems, develop new measurement dependent models having interesting properties, and a protocol for classical simulation of quantum channels using such a model. In particular, a maximally psi-epistemic model is given which is valid for any dimension of Hilbert space(by violating preparation independence assumption).