Stabilizer Formalism & Quantum Error Correction Through the Lens of Tensors - Part 1

Dive into the first part of a comprehensive lecture on the stabilizer formalism and quantum error correction, presented through the lens of tensors. Explore the challenges of describing many-body systems in quantum information, where tensor products of hundreds or thousands of Hilbert spaces are involved. Learn about the stabilizer formalism, a powerful tool developed in quantum information to describe a specific class of tensors using group-theoretical data. Discover how this approach strikes a balance between concise description and practical application in quantum fault tolerance. Delve into topics such as error correction theory, finite symplectic geometries, and the toric code. No prior physics knowledge is required for this accessible yet in-depth exploration of quantum information concepts, presented by David Gross from the Universität zu Köln as part of the Tensor Methods and Emerging Applications to the Physical and Data Sciences Tutorials 2021 at the Institute for Pure and Applied Mathematics, UCLA.