The Sheaf-Theoretic Structure of Definite Causality
Quantum Physics
2024-04-04 v3 Logic in Computer Science
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.
Keywords
Cite
@article{arxiv.2103.13771,
title = {The Sheaf-Theoretic Structure of Definite Causality},
author = {Stefano Gogioso and Nicola Pinzani},
journal= {arXiv preprint arXiv:2103.13771},
year = {2024}
}
Comments
This paper has been superseded by arXiv:2206.08911v4, arXiv:2303.07148 and arXiv:2303.09017. Specifically, Definition 3 of Locale of Inputs given in this work is not fit for purpose: Spaces of Input Histories, cf. Definition 3.8 of arXiv:2206.08911v4, should be used instead. If you wish to cite our work or built upon it, this is unlikely to be the right reference