Louvre: Relaxing Hardware Requirements of Quantum LDPC Codes by Routing with Expanded Quantum Instruction Set (opens in new tab)

Generalized bicycle codes (GB codes) represent a promising family of quantum low-density parity-check codes, characterized by high code rates and relatively local qubit connectivity. A subclass of the GB code called bivariate bicycle codes (BB codes) has garnered significant interest due to its compatibility with two-layer connectivity architectures on superconducting quantum processors. However, one key limitation of BB codes is the high qubit connectivity degree requirements (degree 6), whi...