`implications`

definition

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module: IndisputableMonolith.Information.QuantumErrorCorrection
domain: Information
line: 234 · github
papers citing: none yet

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open lean source

IndisputableMonolith.Information.QuantumErrorCorrection on GitHub at line 234.

browse module

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explainer page

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open explainer

depends on

formal source

 231    2. **Logical gates**: Operations on encoded qubits
 232    3. **Magic state distillation**: Non-Clifford gates
 233    4. **Quantum memory**: Long-term storage of quantum states -/
 234def implications : List String := [
 235  "Scalable quantum computers",
 236  "Quantum communication over noisy channels",
 237  "Quantum memory for quantum networks",
 238  "Fault-tolerant universal gate sets"
 239]
 240
 241/-! ## Falsification Criteria -/
 242
 243/-- The derivation would be falsified if:
 244    1. QEC doesn't relate to 8-tick structure
 245    2. Error thresholds have no τ₀ connection
 246    3. 8-tick codes perform worse than random -/
 247structure QECFalsifier where
 248  no_8tick_connection : Prop
 249  no_tau0_threshold : Prop
 250  codes_perform_poorly : Prop
 251  falsified : no_8tick_connection ∧ no_tau0_threshold → False
 252
 253end QuantumErrorCorrection
 254end Information
 255end IndisputableMonolith

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