标题： 保罗网由横向$|Y\rangle$状态初始化生成 显示英文标题

标题： Pauli webs spun by transversal $|Y\rangle$ state initialisation

摘要： 最初受到逻辑表面码$|Y\rangle$状态的（折叠）横向相关初始化的启发，来自[arXiv:1603.02286, arXiv:2302.07395, arXiv:2302.12292]，然后在[arXiv:2412.01391]中被明确扩展到旋转表面码的折叠横向$S$门实现，我们使用ZX演算和泡利网络来理解$|Y\rangle=S|+\rangle$状态的横向初始化方案。 显示英文摘要

摘要： Originally motivated by the (fold-)transversal related initialisation of logical surface code $|Y\rangle$ 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 $|Y\rangle=S|+\rangle$ state transversal initialisation scheme.