`summary`

definition

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module: IndisputableMonolith.Information.ErrorCorrectionBounds
domain: Information
line: 217 · github
papers citing: none yet

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open lean source

IndisputableMonolith.Information.ErrorCorrectionBounds on GitHub at line 217.

browse module

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explainer page

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open explainer

depends on

formal source

 214    3. **Majority voting**: Correct 3 errors in 8 phases
 215    4. **Syndromes**: 8-tick phase patterns for detection
 216    5. **Quantum EC**: 8-tick coherence enables QEC -/
 217def summary : List String := [
 218  "Channel capacity limits reliable transmission",
 219  "8-tick phases provide natural redundancy",
 220  "Majority voting corrects 3/8 errors",
 221  "8-tick syndromes for error detection",
 222  "QEC from 8-tick phase coherence"
 223]
 224
 225/-! ## Falsification Criteria -/
 226
 227/-- The derivation would be falsified if:
 228    1. Error correction exceeds Shannon limit
 229    2. 8-tick doesn't support redundancy
 230    3. Majority voting doesn't work in quantum regime -/
 231structure ErrorCorrectionFalsifier where
 232  exceeds_shannon : Prop
 233  no_8tick_redundancy : Prop
 234  qec_fails : Prop
 235  falsified : exceeds_shannon → False
 236
 237end ErrorCorrectionBounds
 238end Information
 239end IndisputableMonolith

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