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arXiv · 2103.11709

A Superposition-Based Calculus for Quantum Diagrammatic Reasoning and Beyond

Rachid Echahed·Mnacho Echenim·Mehdi Mhalla·Nicolas Peltier
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Abstract

We introduce a class of rooted graphs which allows one to encode various kinds of classical or quantum circuits. We then follow a set-theoretic approach to define rewrite systems over the considered graphs and propose a new complete Superposition callculus which handles sets of formulas consisting of equations or disequations over these graphs.

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Rachid Echahed, Mnacho Echenim, Mehdi Mhalla, Nicolas Peltier. 2021-03-22. A Superposition-Based Calculus for Quantum Diagrammatic Reasoning and Beyond. https://arxiv.org/abs/2103.11709

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