CMSA Member Seminar: Classification of 2D Stabilizer States

Name: CMSA Member Seminar: Classification of 2D Stabilizer States
Start: 2025-11-07T12:00:00-05:00
End: 2025-11-07T13:00:00-05:00
Location: CMSA, 20 Garden St, Common Room

CMSA EVENTS: CMSA MEMBER SEMINAR

When: November 7, 2025

12:00 pm - 1:00 pm

Where: CMSA, 20 Garden St, Common Room

Address: 20 Garden Street, Cambridge 02138, United States

Speaker: Bowen Yang (Harvard CMSA)

I will explain how translation-invariant two-dimensional stabilizer states are completely classified by finite abelian groups with nondegenerate quadratic forms—that is, by abelian anyon theories. The proof uses the algebraic structure of stabilizer codes as modules over Laurent polynomial rings, revealing how their physical features reflect in this module-theoretic framework. arXiv:2509.10418