A diagrammatic language for the Causaloid framework
Nitica Sakharwade, Lucien Hardy

TL;DR
This paper introduces a diagrammatic language for the Causaloid framework, aiming to bridge the gap between indefinite causal structures and post-quantum theories by formalizing the framework's levels of physical compression.
Contribution
It provides a novel diagrammatic language and terminology for the Causaloid framework, facilitating its connection to Hilbert space-based approaches and post-quantum studies.
Findings
Developed a diagrammatic language for Causaloid framework
Defined new terminology for three levels of physical compression
Lays groundwork for linking Causaloid to Hilbert space approaches
Abstract
The Causaloid framework is an operational approach aimed to house both the radical aspects of General Relativity -- dynamic causal structure, and Quantum Theory -- indefiniteness, to provide a scaffolding that might be suitable for Quantum Gravity by providing a landscape of theories that allow for indefinite causal structure. One may consider it as a generalisation of generalised probability theories (or GPTs) where a priori regions are not assumed to have any given causal relationship, to incorporate the possibility of indefinite causal structure. Since its conception, there have been many advances in the field of indefinite causal structure mostly stemming from the work of Chiribella et al. on the quantum switch and supermaps and from Oreshkov et al. on causal inequalities and process matrices. These approaches have systems moving along wires and use Hilbert space structure. They…
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsSemantic Web and Ontologies · Complex Systems and Decision Making · Philosophy and History of Science
