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What does code degeneracy mean?
PostedJul 12, 2026
Question: In quantum error correction, what does degeneracy mean?
A) Different physical errors can have the same action on the code space or produce the same syndrome-relevant effect
B) A code has no stabilizer generators
C) Every correctable error must have a unique syndrome
D) Logical operators are forbidden from commuting with stabilizers
Correct: A
Explanation: Quantum codes can be degenerate: distinct physical error operators may differ by stabilizers and therefore act equivalently on encoded states. This makes decoding different from simply assigning a unique physical error to every syndrome.
Topic: advanced quantum computing / quantum error correction / degeneracy