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Demonstration of fault-tolerant Steane quantum error correction

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arxiv 2312.09745 v1 pith:LUVOGEQF submitted 2023-12-15 quant-ph

Demonstration of fault-tolerant Steane quantum error correction

classification quant-ph
keywords quantumsteaneauxiliaryexperimentalfault-tolerantlogicalcodesdata
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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 used for the data register. The data and auxiliary registers are then coupled with a logical 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 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. This establishes experimental Steane QEC as a competitive paradigm for fault-tolerant quantum computing.

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