We simulate four quantum error correcting codes under error models inspired realistic noise sources in near-term ion trap quantum computers: T₂, gate overrotation, and crosstalk. We use this data to find preferred for given error parameters along with logical error biases and a which compares the physical and logical gate failure rates for CNOT gate. Using these results we conclude that Bacon-Shor-13 is the most near term candidate as long as the impact of crosstalk can be through other means.
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Debroy et al. (2019) studied this question.