Implementing a Logical Qubit on a Trapped Ion Quantum Information Processor*

Under the IARPA Logical Qubit (LogiQ) program, we aim to demonstrate a logical qubit using the Bacon-Shor [[9,1,3]] subsystem code. Towards this goal, we built a universal ion-trap quantum processor capable of individual qubit addressing, sympathetic cooling, and ancilla readout. The Bacon-Shor code consists of 9 data qubits, encoding 1 logical qubit, with stabilizer circuits mapped to 4 ancilla qubits capable of correcting any single qubit error. In this talk, we report on the experimental progress made towards implementation of quantum error correction, including the encoding of the logical qubit and stabilizer readout. Additionally, we will lay out the near-term path for achieving multiple rounds of error correction and the prospects for surpassing the quantum error threshold.