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IAS | PCMI Graduate Summer School 2023

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Lecture 1: slides, problem set, video

Content: 

  • Linear codes.

  • Stabilizer codes.

  • Good stabilizer codes exist.

  • Examples of quantum LDPC codes.

Lecture 2: slides, problem set, video

Content:

  • Surface codes

  • Hypergraph product codes

  • Syndrome extraction circuits with 2D local gates

  • Syndrome extraction circuits with long-range gates

Lecture 3: slides, problem set, video

Content:

  • Lookup table decoder

  • Classical peeling decoder

  • Belief Propagation decoder

  • Union-Find decoder for QLDPC codes

  • BP-OSD for QLDPC codes

Lecture 4: slides, problem set, video

Content:

  • Quantum Tanner Codes

  • Conclusion: Overview of the whole LDPC quantum memory

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