qml.operation.operation_derivative

operation_derivative(operation)

Calculate the derivative of an operation.

For an operation $e^{i \hat{H} \phi t}$, this function returns the matrix representation in the standard basis of its derivative with respect to $t$, i.e.,

$$\frac{d \, e^{i \hat{H} \phi t}}{dt} = i \phi \hat{H} e^{i \hat{H} \phi t},$$

where $\phi$ is a real constant.

Parameters

operation (Operation) – The operation to be differentiated.

Returns

the derivative of the operation as a matrix in the standard basis

Return type

array

Raises

ValueError – if the operation does not have a generator or is not composed of a single trainable parameter

code/api/pennylane.operation.operation_derivative

 

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