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Quantum Algorithms

One rig to control them all

arXiv

Authors: Chris Heunen, Robin Kaarsgaard, Louis Lemonnier

Year

2025

Paper ID

51778

Status

Preprint

Abstract Read

~2 min

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Abstract

We introduce a theory for computational control, consisting of eight naturally interpretable equations. Adding these to a prop of base circuits constructs controlled circuits, borne out in examples of reversible Boolean circuits and quantum circuits. We prove that this syntactic construction semantically corresponds to taking the free rig category on the base prop.

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It adds a 2025 reference point for readers tracking recent quantum research.
We introduce a theory for computational control, consisting of eight naturally interpretable equations.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2510.05032 [2] arXiv https://arxiv.org/abs/2510.05032 [3] Publisher https://arxiv.org/abs/2510.05032

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