structure
definition
def or abbrev
QuantumState
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view Lean formalization →
formal statement (Lean)
145structure QuantumState (n : ℕ) where
146 /-- The possible ledger configurations -/
147 configurations : Fin n → Ledger
148 /-- Complex amplitudes -/
149 amplitudes : Fin n → ℂ
150 /-- Normalization: |ψ|² = 1 -/
151 normalized : (Finset.univ.sum fun i => Complex.normSq (amplitudes i)) = 1
152
153/-- The probability of finding configuration i (Born rule). -/
used by (24)
-
born_rule_jcost_connection -
expectedCost -
probability -
prob_nonneg -
prob_sum_one -
CloningMachine -
innerProduct -
inner_product_self -
QuantumState -
QuantumState -
QuantumState -
unitary_preserves_norm -
born_rule_nonneg -
born_rule_normalized -
cost_probability_relation -
filter_map_weight_sum -
isDefinite -
isSuperposition -
measurement_postulate_derived -
measurementProbability -
outcomeCost -
probability_equals_weight -
QuantumState -
stateToLedger