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The Summer Cluster on Quantum Computing brings together researchers from academia and industry to explore topics from quantum complexity theory and cryptography to quantum algorithms, benchmarking, error correction, and fault tolerance. The cluster has a special focus on NISQ (noisy intermediate-scale quantum) computers and complexity-based evidence of quantum advantage. A major challenge in this direction is improving quantum error-correcting codes and decoding algorithms for achieving early fault tolerance, and developing milestones for quantum advantage in the early fault tolerance regime.