Cutting stabiliser decompositions of magic state cultivation with ZX-calculus

2025/09/01 by Wan, Kwok Ho, Zhong, Zhenghao · 1 citation
#FOS: Physical sciences #Quantum Physics (quant-ph)

paper · doi:10.48550/arxiv.2509.01224

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.

Citations

• Magic state cultivation: growing T states as cheap as CNOT gates
• Universal quantum computation with ideal Clifford gates and noisy ancillas
• The Heisenberg Representation of Quantum Computers

Cited by

• How to simulate magic state cultivation with around 8 Clifford terms on average

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