Implementing Real-Time Logical Qubit Error Detection & Correction on a Trapped Ion Quantum Computer*

Implementing a full error-corrected logical qubit requires high-fidelity gates, mid-circuit ancilla measurement, and the determination of the appropriate correction operation using the measurement. Our recent results demonstrating the central components of quantum error correction [1] focused on a single cycle of error detection and correction, due to technical control limitations. Here, we discuss some of those limitations and present a heterogeneous approach to addressing this issue with a custom gate waveform generator. Finally, we will present progress towards demonstrating multiple rounds of error correction on a Bacon-Shor-13-encoded logical qubit using trapped 171Yb+ ions.