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arXiv · 1806.00915

Density Hypercubes, Higher Order Interference and Hyper-Decoherence: a Categorical Approach

Stefano Gogioso·Carlo Maria Scandolo
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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.

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Stefano Gogioso, Carlo Maria Scandolo. 2018-06-04. Density Hypercubes, Higher Order Interference and Hyper-Decoherence: a Categorical Approach. https://doi.org/10.1007/978-3-030-35895-2_10

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