Quantum Error Correction with Metastable States of Trapped Ions Using Erasure Conversion

Erasures, or errors with known locations, are a more favorable type of error for quantum error-correcting codes than Pauli errors. Converting physical noise into erasures can significantly improve the performance correction. Here we apply idea performing erasure conversion by encoding qubits metastable atomic states, proposed Wu, Kolkowitz, Puri, and Thompson [Nat. Comm. 13, 4657 (2022)], to trapped ions. We suggest an erasure-conversion scheme trapped-ion develop detailed model various types then compare logical ground on surface code under constraints, conclude that may outperform when achievable laser power is higher qubits.