Originally motivated by the (fold-)transversal related initialisation of logical surface code ∣Y⟩ states from [arXiv:1603.02286, arXiv:2302.07395, arXiv:2302.12292], which was then explicitly extended to the fold-transversal S gate implementation in [arXiv:2412.01391] for the rotated surface code, we employ ZX-calculus and Pauli web to understand the ∣Y⟩=S∣+⟩ state transversal initialisation scheme.
Cite
@article{arxiv.2502.00957,
title = {Pauli webs spun by transversal $|Y\rangle$ state initialisation},
author = {Kwok Ho Wan and Zhenghao Zhong},
journal= {arXiv preprint arXiv:2502.00957},
year = {2025}
}