Quantum Error Corrections with Symmetries

Speaker: 刘正伟 教授，清华大学丘成桐数学科学中心 北京雁栖湖应用数学研究院          、

Inviter: 骆顺龙 研究员

Title: Quantum Error Corrections with Symmetries

Language: Chinese 

Time & Venue: 2026.11.16  15:30-16:30   南楼N620

Abstract: This talk investigates quantum error correction under symmetry conservation constraints in finite‑dimensional settings. For bimodule noise channels, we introduce renormalized Kraus operators to characterize symmetric noise and generalize the Knill‑Laflamme conditions. Exact correctability criteria are derived for subspace quantum error correction, operator quantum error correction (OQEC), and operator‑algebra quantum error correction (OAQEC).Using the QEC‑matrix and transpose recovery channel, we obtain two‑sided bounds for optimal recovery fidelity and analyze near‑optimal correction performance, providing algebraic criteria for symmetry‑constrained quantum codes.