Simulating magic state cultivation with few Clifford terms

Quantum 10, 2134 (2026). https://doi.org/10.22331/q-2026-06-12-2134 Building upon $\textit{Wan, Zhong (2025)}$ [ 5 ] we present a few methods on how to simulate the non-Clifford $d=5$ magic state cultivation circuits[ 4 ] with a sum of $\approx 8$ Clifford ZX-diagrams on average, at $0.1\%$ noise. Compared to a magic cat state stabiliser decomposition of all $53$ non-Clifford spiders ($6{,}377{,}292$ terms required), this is more than $7 \times 10^{5}$ times reduction in the number of terms. Our