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Quantum Engineering Year 2: Advanced Quantum Science Month 27Day 734

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Year 2·Month 27·Week 1

Day 734: Logical Operators & Distance

Day 734 of 2,016~15 min read

Learning Objectives

•**Define** the centralizer and normalizer of a stabilizer group
•**Compute** logical operators from the symplectic complement
•**Understand** the relationship between logicals and code space
•**Calculate** code distance from minimum weight
•**Apply** bounds: quantum Singleton, quantum Hamming
•**Implement** algorithms for distance computation

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Centralizer and Normalizer Binary Representation of Centralizer Structure of the Centralizer Logical Operators Finding Logical Operators Code Distance Computing Distance Quantum Singleton Bound Quantum Hamming Bound Degenerate Codes Distance for CSS Codes

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