Reed-Muller Codes Enable Full Clifford Group Without Ancilla Qubits

Researchers from Osaka, Oxford, and Tokyo demonstrated that high-rate quantum Reed-Muller codes can implement the full logical Clifford group using only transversal and fold-transversal gates - no ancilla qubits required. This is the first such construction for a code family where logical qubits grow nearly linearly with block length.

Why This Matters: This provides another pathway (alongside QLDPC codes) to reduce the overhead of fault-tolerant quantum computing. Eliminating ancilla requirements for Clifford gates means fewer physical qubits needed per logical operation, further compressing the hardware threshold for cryptographically relevant computations.