Week 169: Classical to Quantum Codes

Learning Objectives

• •**Compute syndromes** for classical linear codes and identify correctable errors
• •**State and prove** the Knill-Laflamme error correction conditions
• •**Construct** the 3-qubit bit-flip and phase-flip codes
• •**Derive** the 9-qubit Shor code and verify its error correction properties
• •**Implement** syndrome measurement circuits
• •**Distinguish** between degenerate and non-degenerate codes