Neutral atom quantum processors and the error correction frontier

We will discuss recent advances in quantum information processing using dynamically reconfigurable arrays of neutral atoms. With this platform we have realized programmable quantum processing with encoded logical qubits, combining the use of 280 physical qubits, high two-qubit gate fidelities, arbitrary connectivity, and mid-circuit readout. Using this logical processor with various types of error-correcting codes, we demonstrate that we can improve logical two-qubit gates by increasing code size, outperform physical qubit fidelities, create logical GHZ states, and perform computationally complex quantum simulation of information scrambling. We will show new results exploring trotterized digital implementations of quantum simulation, new theoretical advances enabling large speed-up in error correction using transversal gates and correlated decoding, as well as recent experimental advances enabling deep computation. We will highlight nuances and opportunities in near-term error-corrected quantum simulation.