This paper is a general introduction to the t\={u}Q toolchain (https://github.com/QSI-BAQS/tuQ) and a discussion of its two main workflows, 'reduce and optimise' and 'draft and compile'. The t\={u}Q toolchain was designed to advance research in cluster-state computing and the workflows are presented as suggestions for how a researcher might use the tool. The two modes of t\={u}Q are Modeller and Simulator. Simulator mode has a tile-based syntax for drafting cluster-state algorithms. Modeller enables the user to reduce a lattice through preset measurement functions and optimise an algorithm by minimising the count of qubits or the count of controlled-Z ('CZ') interactions. In addition, t\={u}Q makes it possible to compile an algorithm to OpenQASM 3.0.
@article{arxiv.2502.18991,
title = {t\={u}Q: a design and modelling tool for cluster-state algorithms},
author = {Greg Bowen and Simon Devitt},
journal= {arXiv preprint arXiv:2502.18991},
year = {2025}
}