Fault-tolerant quantum computing with high-rate symplectic double codes.

Fault-tolerant encoders for symplectic double codes [[30,6,5]] and [[36,12,5]] achieve low logical error rates with reduced auxiliary-qubit overhead during encoded-state preparation.

• Why it matters: Efficient fault-tolerant encoded-state preparation is a key bottleneck for making high-rate, large-distance quantum codes practical for fault-tolerant quantum computing.
• What they did: The work designs fault-tolerant encoders for the two codes, using circuit-level noise simulations to detect crucial encoding errors with as few auxiliary qubits as possible, and also builds arbitrary-state encoders for state injection.
• The result: Numerical simulations under a circuit-level noise model show the proposed methods are reliable and effective, enabling universal quantum computation when combined with basic fault-tolerant operations.

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