Tsirelson's Bound and the Quantum Monogamy Bound from Global Determinism

TL;DR

This paper derives key quantum bounds, such as Tsirelson's and monogamy bounds, from the assumption of global determinism, offering insights into quantum contextuality and proposing a new solution to the horizon problem.

Contribution

It introduces a novel derivation of quantum bounds from global determinism and connects these to quantum contextuality and cosmological horizon issues.

Findings

Tsirelson's bound derived from global determinism

Quantum monogamy bound obtained from global determinism

Proposes a new solution to the horizon problem

Abstract

We demonstrate that in a globally deterministic universe, all spatiotemporally symmetric processes must obey counterfactual parameter independence. We show that the Tsirelson bound can be derived from counterfactual parameter independence. We show that the quantum monogamy bound can also be obtained from global determinism, and then then use these results to propose a novel solution to the horizon problem. We also explain how global determinism relates to contextuality in quantum mechanics.