Pauli webs spun by transversal |Y⟩ state initialisation

2025/02/02 by Kwok Ho Wan, Wan, Kwok Ho, Zhong, Zhenghao
Computer Science · Mathematics · Physics and Astronomy · #Algorithm #Cellular Automata and Applications #Combinatorics #Connection (principal bundle) #FOS: Physical sciences #Geometry #Mathematical analysis #Mathematical physics #Mathematics #Nonlinear Dynamics and Pattern Formation #Pauli exclusion principle #Physics #Quantum Physics (quant-ph) #Quantum chaos and dynamical systems #Quantum mechanics #State (computer science) #Theoretical physics #Transversal (combinatorics)

paper · pdf · doi:10.48550/arxiv.2502.00957

published in arXiv (Cornell University) (Cornell University)

openalex publication_date 2025/02/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Transversal Clifford gates on folded surface codes
• Inplace Access to the Surface Code Y Basis
• Cleaner magic states with hook injection
• Transversal Logical Clifford gates on rotated surface codes with reconfigurable neutral atom arrays

Related

• Pauli web of the |Y⟩ state surface code injection
• Transversal Logical Clifford gates on rotated surface codes with reconfigurable neutral atom arrays
• Transversal gates for probabilistic implementation of multi-qubit Pauli rotations
• Cross-Cap Defects and Fault-Tolerant Logical Gates in the Surface Code and the Honeycomb Floquet Code
• Logical Error Rates of XZZX and Rotated Quantum Surface Codes