Towards a Semantic Information Theory (Introducing Quantum Corollas)
Information Theory
2022-01-17 v1 math.IT
Quantum Physics
Abstract
The field of Information Theory is founded on Claude Shannon's seminal ideas relating to entropy. Nevertheless, his well-known avoidance of meaning (Shannon, 1948) still persists to this day, so that Information Theory remains poorly connected to many fields with clear informational content and a dependence on semantics. Herein we propose an extension to Quantum Information Theory which, subject to constraints, applies quantum entanglement and information entropy as linguistic tools that model semantics through measures of both difference and equivalence. This extension integrates Denotational Semantics with Information Theory via a model based on distributional representation and partial data triples known as Corolla.
Keywords
Cite
@article{arxiv.2201.05478,
title = {Towards a Semantic Information Theory (Introducing Quantum Corollas)},
author = {Philip Tetlow and Dinesh Garg and Leigh Chase and Mark Mattingley-Scott and Nicholas Bronn and Kugendran Naidoo and Emil Reinert},
journal= {arXiv preprint arXiv:2201.05478},
year = {2022}
}