 223/-! ## Decoherence Suppression Strategies -/
 224
 225/-- Strategies to extend decoherence time. -/
 226inductive DecoherenceStrategy where
 227  | reduceCoupling    -- Lower g
 228  | reduceModes       -- Lower N (isolation)
 229  | errorCorrection   -- Actively correct
 230  | dynamicalDecoupling -- Pulse sequences
 231  | topologicalProtection -- Use topological qubits
 232
 233/-- Expected improvement factor for each strategy. -/
 234noncomputable def strategyImprovement : DecoherenceStrategy → ℝ
 235  | DecoherenceStrategy.reduceCoupling => 10
 236  | DecoherenceStrategy.reduceModes => 100
 237  | DecoherenceStrategy.errorCorrection => 1000
 238  | DecoherenceStrategy.dynamicalDecoupling => 100
 239  | DecoherenceStrategy.topologicalProtection => 1e6
 240
 241/-! ## Falsification Criteria -/
 242
 243/-- The decoherence formula would be falsified by:
 244    1. Systems with decoherence times not scaling as φ^(-N)
 245    2. Gap-45 crossover at a different mode count
 246    3. Coupling-independent decoherence -/
 247structure DecoherenceFalsifier where
 248  /-- The system being tested. -/
 249  system : String
 250  /-- Measured decoherence time. -/
 251  measured : ℝ
 252  /-- Predicted decoherence time. -/
 253  predicted : ℝ
 254  /-- Significant discrepancy. -/
 255  discrepancy : |measured - predicted| / predicted > 0.5
 256

papers checked against this theorem

No papers in the current corpus map onto this theorem yet.