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Cutting stabiliser decompositions of magic state cultivation with ZX-calculus

Abstract

We apply the cutting stabiliser decomposition techniques [arXiv:2403.10964] to the quantum states generated from magic state cultivation [arXiv:2409.17595], post-selected upon all +1 measured values for simplicity. The resultant states to the d=3 and d=5 variant magic state cultivation circuits can be expressed as a sum of 4 and 8 Clifford ZX-digrams respectively. Modifications to existing ZX-calculus stabiliser decomposition methods may enable better simulation of non-Clifford circuits containing a moderate number of T gates in the context of quantum error correction.

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