Single-shot magic state factories for quantum LDPC codes
The paper introduces an end-to-end factory to produce high-fidelity quantum magic states (|CCZ⟩) using quantum low-density parity-check (qLDPC) codes. It combines transversal non-Clifford gates from tricycle codes with four-dimensional balanced product quadcycle codes. This method achieves state error rates as low as 10⁻⁹ and offers a space-time cost significantly lower than existing cultivation methods, making it practical for universal quantum computation.