IBM Quantum Error Correction Summer School

 

Website

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Lecture 1: slides

Lecture 2: slides

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Content: 

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Part 1: Classical LDPC codes

• A brief history of classical LDPC codes

• Definition of LDPC codes

• Construction of LDPC codes

• Belief Propagation decoder

• Expander codes

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Part 2: Decoding quantum LDPC codes

• Quantum LDPC codes

• Small set flip decoder for expander codes

• Union-Find decoder

• BP + OSD decoder

• Other strategies

• Numerical results

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Part 3: Layout for quantum LDPC codes:

• Motivation

• Surface code

• LDPC codes with 2D local gates

• Circuit bound - Proof technique

• LDPC codes with long range gates

• Concatenation: Surface code + LDPC codes

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