Quantum LDPC Codes of Almost Linear Distance via Homological Products

Understand

We present new constructions of quantum codes of linear or close-to-linear distance and dimension with low-weight stabilizers.

• Only a few constructions of such codes were previously known, and were primarily based on a specific operation from homological algebra, namely the balanced product.
• In contrast, our constructions are based on a more basic and widely used product, namely the homological product (i.e.
• the tensor product of chain complexes).