Hessian

Hessian.convert(operator, params=None)

Parameters

• operator (OperatorBase) – The operator for which we compute the Hessian
• params (Tuple[ParameterExpression, ParameterExpression] | List[Tuple[ParameterExpression, ParameterExpression]] | List[ParameterExpression] | ParameterVector | None) – The parameters we are computing the Hessian with respect to Either give directly the tuples/list of tuples for which the second order derivative is to be computed or give a list of parameters to build the full Hessian for those parameters. If not explicitly passed, the full Hessian is constructed. The parameters are then inferred from the operator and sorted by name.

Returns

An operator whose evaluation yields the Hessian

Return type

OperatorBase

Hessian.get_hessian(operator, params=None)

Get the Hessian for the given operator w.r.t. the given parameters

Parameters

• operator (OperatorBase) – Operator w.r.t. which we take the Hessian.
• params (Tuple[ParameterExpression, ParameterExpression] | List[Tuple[ParameterExpression, ParameterExpression]] | List[ParameterExpression] | ParameterVector | None) – Parameters w.r.t. which we compute the Hessian. If not explicitly passed, the full Hessian is constructed. The parameters are then inferred from the operator and sorted by name.

Returns

Operator which represents the gradient w.r.t. the given params.

Raises

• ValueError – If params contains a parameter not present in operator.
• ValueError – If operator is not parameterized.
• OpflowError – If the coefficient of the operator could not be reduced to 1.
• OpflowError – If the differentiation of a combo_fn requires JAX but the package is not installed.
• TypeError – If the operator does not include a StateFn given by a quantum circuit
• TypeError – If the parameters were given in an unsupported format.
• Exception – Unintended code is reached
• MissingOptionalLibraryError – jax not installed

Return type

OperatorBase

Returns CircuitGradient.

Returns

CircuitGradient.