<u>Magic State Distillation for Surface Code for Biased Noise Qubits</u>

Ultra-high fidelity magic states are required for universal fault-tolerant quantum computing with surface code. However, the error probability of the injected magic state on the surface code lattice is proportional to the physical error rate and does not reduce with code distance. Consequently, several noisy states have to be distilled via magic state distillation to get one high fidelity state, thereby increasing the overhead cost for universal, fault-tolerant computation. Here we show how the structure of noise in the qubits and entangling gates can be exploited to suppress errors in the injected magic state and reduce the overall resource overheads for magic state distillation.