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We present an abstract model of quantum computation, the "Pauli Fusion"model, whose primitive operations correspond closely to generators of the ZXcalculus (a formal graphical language for quantum computing). The fundamentaloperations of Pauli Fusion are also straightforward abstractions of basicprocesses in some leading proposed quantum technologies. These operations havenon-deterministic heralded effects, similarly to measurement-based quantumcomputation. We describe sufficient conditions for Pauli Fusion procedures tobe deterministically realisable, so that it performs a given transformationindependently of its non-deterministic outcomes. This provides an operationalmodel to realise ZX terms beyond the circuit model.

Pauli Fusion: a Computational Model to Realise Quantum Transformations from ZX Terms