fix AD cache

Author: oameye

QuantumToolbox.jl/time_evolution/Quantum_Fisher_Information_with_automatic_differentiation.qmd

@@ -103,11 +103,8 @@ final_state([0], 100)
 # Define state function for automatic differentiation
 state(p) = final_state(p, 2000)
 
-# Prepare the jacobian computation using finite differences
-prep = DifferentiationInterface.prepare_jacobian(state, AutoFiniteDiff(), [0.0])
-
 # Compute both the state and its derivative
-ρ, dρ = DifferentiationInterface.value_and_jacobian(state, prep, AutoFiniteDiff(), [0.0])
+ρ, dρ = DifferentiationInterface.value_and_jacobian(state, AutoFiniteDiff(), [0.0])
 
 # Reshape the derivative back to matrix form
 dρ = QuantumToolbox.vec2mat(vec(dρ))
@@ -126,7 +123,7 @@ ts = range(0, 2000, 100)
 
 QFI_t = map(ts) do t
     state(p) = final_state(p, t)
-    ρ, dρ = DifferentiationInterface.value_and_jacobian(state, prep, AutoFiniteDiff(), [0.0])
+    ρ, dρ = DifferentiationInterface.value_and_jacobian(state, AutoFiniteDiff(), [0.0])
     dρ = QuantumToolbox.vec2mat(vec(dρ))
     compute_fisher_information(ρ, dρ)
 end