Large-scale quantum diagrammatic reasoning tools, !-boxes vs. scalable notations
Quantum Physics
2022-04-26 v1
Abstract
The application of diagrammatic reasoning techniques to large-scale quantum processes needs specific tools to describe families of diagrams of arbitrary size. For now, large-scale diagrammatic reasoning tools in ZH-calculus come in two flavours, !-boxes and scalable notations. This paper investigates the interactions between the two approaches by exhibiting correspondences through various examples from the literature, focusing on (hyper)graph states and diagrammatic transforms. In doing so, we set up a path toward a neat and tidy large-scale diagrammatic reasoning toolbox.
Keywords
Cite
@article{arxiv.2204.11702,
title = {Large-scale quantum diagrammatic reasoning tools, !-boxes vs. scalable notations},
author = {Titouan Carette and Louis Lemonnier},
journal= {arXiv preprint arXiv:2204.11702},
year = {2022}
}
Comments
12 pages + 7 pages of references and appendix