Encoding information redundantly using quantum error-correcting (QEC) codes allows one to overcome the inherent sensitivity to noise in quantum computers to ultimately achieve large-scale quantum computation.The Steane QEC method involves preparing an auxiliary logical qubit of the same QEC code as used for the data register.The data and auxiliary registers are then VIT D3 coupled with a logical controlled-not (cnot) gate, enabling a measurement of the auxiliary register to reveal the error syndrome.This study presents the implementation of multiple rounds of fault-tolerant (FT) Steane QEC on a trapped-ion quantum computer.
Various QEC codes are employed and the results are compared to a previous experimental approach utilizing flag qubits.Our experimental findings show improved logical fidelities for Steane QEC and accompanying numerical simulations indicate an even larger performance advantage for quantum processors limited by entangling-gate errors.This Toy Gift Set establishes experimental Steane QEC as a competitive paradigm for FT quantum computing.