Error Correction for Quantum Networks (Level 3)

Instructors: Narayanan Rengaswamy, Michele Pacenti and Sijie Cheng The short course will introduce the fundamentals of classical and quantum error correction using visual elements as well as necessary linear algebra. The course will start with the basics of classical error correction, linear block codes, parity-check matrices, syndrome, standard array decoding and finish the first part with a discussion of low-density parity-check (LDPC) codes and iterative decoders. Then the course will explain the basics of quantum error correction and draw comparisons to the concepts introduced for classical error correction. There will be discussions on the circuits that must be implemented to enable quantum error correction. The course will end with a discussion of how these error correction techniques bring advantages to quantum networks, e.g., enabling code-based entanglement distillation protocols in quantum repeaters.