XYZ ruby code: Making a case for a three-colored graphical calculus for quantum error correction in spacetime

Julio C. Magdalena de la Fuente, Josias Old, Alex Townsend-Teague, Manuel Rispler, Jens Eisert, Markus Müller · 2024 · PRX Quantum 6, 010360 (2025)

| 编号 QE224 | 主题 Floquet 与动态码 | 链接 arXiv:2407.08566 |

摘要

摘要保留原文(英文)

摘要取自 arXiv / 出版方元数据,未作翻译,以保证与原文一致。

We present a tensor-network graphical formalism capturing the logical action and error-correcting capabilities of any Clifford circuit with Pauli measurements, and showcase it on new Floquet codes derived from topological subsystem codes, the XYZ ruby codes, which are in the same topological phase as the 2+1D color code and apply a Z3 automorphism to the logical Pauli group every three timesteps, with circuit-level thresholds of ~0.18%.

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