David Gross: Stabilizer Formalism & Quantum Error Correction Through the Lens of Tensors

Delve into the second part of a comprehensive lecture on the stabilizer formalism and quantum error correction through the lens of tensors. Explore advanced concepts in quantum information theory, including error correction techniques, finite symplectic geometries, and the toric code. Learn how the stabilizer formalism addresses challenges in quantum fault tolerance by describing tensors using group-theoretical data. Gain insights into the construction of large subspaces resistant to local errors in many-body quantum systems. No prior physics knowledge is required for this 56-minute presentation by David Gross from Universität zu Köln, part of the Tensor Methods and Emerging Applications to the Physical and Data Sciences Tutorials 2021 series at the Institute for Pure & Applied Mathematics (IPAM).

Introduction
Quantum Error Correction
Construction
Operators
Geometric Interpretation
Dual Graphs
Error Operators
Elementary Topology
Josephs Question
Summary