Abstract: Scaling up invariably error-prone quantum processors is a formidable challenge. While quantum error correction ultimately promises fault-tolerant operation, the required qubit overhead and error thresholds are daunting, and many codes break down under correlated noise. Recent proposals have suggested a complementary approach based on co-located, auxiliary ‘spectator’ qubits. These act as in-situ probes of noise, and enable real-time, coherent corrections of the resulting errors on the data qubits. Here, we use an array of cesium spectator qubits to correct correlated phase errors on an array of rubidium data qubits . Crucially, by combining in-sequence readouts, data processing, and feed-forward operations, these correlated errors are suppressed within the execution of the quantum circuit.
In the second part of the talk, I will discuss our progress towards creating light-matter interfaces based on individual atoms coupled to nano-photonic crystal structures with the long-term vision of connecting distant atom array nodes with entanglement.
 Singh, Bradley, Anand, Ramesh, White, Bernien arXiv:2208.11716 (2022)