Pauli webs spun by transversal |Y state initialisation
Abstract
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.
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