Qutrit and ququint versions of the smallest 5-qudit error-correcting code achieve circuit-level error thresholds comparable to the qubit version, around 10^-4, when a flag qudit suppresses hook errors.
Therefore, it is crucial to execute several syndrome measurement cycles and track actual detection events, which are characterized by a change in the measured eigenvalues
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Qudit vs. Qubit: Simulated performance of error correction codes in higher dimensions
Qutrit and ququint versions of the smallest 5-qudit error-correcting code achieve circuit-level error thresholds comparable to the qubit version, around 10^-4, when a flag qudit suppresses hook errors.