Progress in fault-tolerant compilation and execution of quantum algorithms

Quantum algorithms have the potential to outperform their classical counterparts in a large variety of computing tasks. At the same time, quantum error correction and fault tolerance is expected to be required to achieve a practical quantum computing advantage. We report progress in fault-tolerant compilation and execution of quantum algorithms on trapped-ion quantum processor. We showcase the unique techniques and considerations required to execute and benchmark algorithmic primitives in a fault-tolerant setting, and at a scale (50+ physical qubits) beyond the reach of many standard benchmarking techniques. Our work makes an important step towards the implementation, execution, and benchmarking of large-scale fault-tolerant quantum algorithms.