Density Hypercubes, Higher Order Interference and Hyper-Decoherence: a Categorical Approach
Quantum Physics
2020-04-30 v1
Abstract
In this work, we use the recently introduced double-dilation construction by Zwart and Coecke to construct a new categorical probabilistic theory of density hypercubes. By considering multi-slit experiments, we show that the theory displays higher-order interference of order up to fourth. We also show that the theory possesses hyperdecoherence maps, which can be used to recover quantum theory in the Karoubi envelope.
Keywords
Cite
@article{arxiv.1806.00915,
title = {Density Hypercubes, Higher Order Interference and Hyper-Decoherence: a Categorical Approach},
author = {Stefano Gogioso and Carlo Maria Scandolo},
journal= {arXiv preprint arXiv:1806.00915},
year = {2020}
}
Comments
Colour-blind safe, grayscale-safe colours