The Sheaf-Theoretic Structure of Definite Causality

TL;DR

This paper extends the sheaf-theoretic framework for non-locality to include scenarios with arbitrary definite causal orders, enhancing the understanding of contextuality in complex causal structures.

Contribution

It introduces a sheaf-theoretic approach to analyze contextuality in operational scenarios with arbitrary definite causal orders, filling a gap in existing frameworks.

Findings

Extended sheaf-theoretic framework for causal scenarios

Applicable to arbitrary definite causal orders

Provides new tools for studying contextuality

Abstract

We fill a gap in the study of contextuality by extending the sheaf-theoretic framework for non-locality by Abramsky and Brandenburger to deal with operational scenarios in the presence of arbitrary definite causal orders.