From Möbius Strips to Twisted Toric Codes: A Homological Approach to Quantum Low Density Parity Check Codes

In the past few years, the search for good quantum low density parity check (qLDPC) codes suddenly took flight, and many different constructions of these codes have since been presented, including many product constructions. As these code constructions have a natural interpretation in the language of homology, this thesis studies the interplay...