Logical Performance of 9 Qubit Compass Codes in Ion Traps with Crosstalk Errors

TL;DR

This study evaluates four quantum error correcting codes in ion trap quantum computers under realistic noise models, identifying Bacon-Shor-13 as the most promising code if crosstalk is mitigated.

Contribution

The paper provides a simulation-based comparison of quantum error correction codes considering realistic ion trap noise sources, highlighting the potential of Bacon-Shor-13.

Findings

Bacon-Shor-13 shows the best performance among tested codes.

Crosstalk mitigation is crucial for code effectiveness.

Logical error biases vary with error parameters.

Abstract

We simulate four quantum error correcting codes under error models inspired by realistic noise sources in near-term ion trap quantum computers: $T_2$ dephasing, gate overrotation, and crosstalk. We use this data to find preferred codes for given error parameters along with logical error biases and a pseudothreshold which compares the physical and logical gate failure rates for a CNOT gate. Using these results we conclude that Bacon-Shor-13 is the most promising near term candidate as long as the impact of crosstalk can be mitigated through other means.