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arXiv · 1907.05172

Deriving Dagger Compactness

Sean Tull
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Abstract

Dagger compact structure is a common assumption in the study of physical process theories, but lacks a clear interpretation. Here we derive dagger compactness from more operational axioms on a category. We first characterise the structure in terms of a simple mapping of states to effects which we call a 'state dagger', before deriving this in any category with 'completely mixed' states and a form of purification, as in quantum theory.

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Sean Tull. 2019-07-11. Deriving Dagger Compactness. https://doi.org/10.4204/eptcs.318.11

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