New Cosystolic Expanders from Tensors Imply Explicit Quantum LDPC Codes with $\Omega (\sqrt{n}{\log }^{k}n)$ Distance

Tali Kaufman, Ran J. Tessler

In this work we introduce a new notion of expansion in higher dimensions that is stronger than the well studied cosystolic expansion notion, and is termed {\em Collective-cosystoli…