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---
title: BaseEstimatorGradient
description: API reference for qiskit.algorithms.gradients.BaseEstimatorGradient
in_page_toc_min_heading_level: 1
python_api_type: class
python_api_name: qiskit.algorithms.gradients.BaseEstimatorGradient
---
# BaseEstimatorGradient
<Class id="qiskit.algorithms.gradients.BaseEstimatorGradient" isDedicatedPage={true} github="https://github.com/qiskit/qiskit/tree/stable/0.45/qiskit/algorithms/gradients/base/base_estimator_gradient.py" signature="qiskit.algorithms.gradients.BaseEstimatorGradient(estimator, options=None, derivative_type=DerivativeType.REAL)" modifiers="class">
Bases: [`ABC`](https://docs.python.org/3/library/abc.html#abc.ABC "(in Python v3.12)")
Base class for an `EstimatorGradient` to compute the gradients of the expectation value.
**Parameters**
* **estimator** ([*BaseEstimator*](qiskit.primitives.BaseEstimator "qiskit.primitives.BaseEstimator")) The estimator used to compute the gradients.
* **options** ([*Options*](qiskit.providers.Options "qiskit.providers.Options") *| None*) Primitive backend runtime options used for circuit execution. The order of priority is: options in `run` method > gradients default options > primitives default setting. Higher priority setting overrides lower priority setting
* **derivative\_type** (*DerivativeType*)
The type of derivative. Can be either `DerivativeType.REAL` `DerivativeType.IMAG`, or `DerivativeType.COMPLEX`.
> * `DerivativeType.REAL` computes $2 \mathrm{Re}[⟨ψ(ω)|O(θ)|dω ψ(ω)〉]$.
> * `DerivativeType.IMAG` computes $2 \mathrm{Im}[⟨ψ(ω)|O(θ)|dω ψ(ω)〉]$.
> * `DerivativeType.COMPLEX` computes $2 ⟨ψ(ω)|O(θ)|dω ψ(ω)〉$.
Defaults to `DerivativeType.REAL`, as this yields e.g. the commonly-used energy gradient and this type is the only supported type for function-level schemes like finite difference.
## Attributes
### derivative\_type
<Attribute id="qiskit.algorithms.gradients.BaseEstimatorGradient.derivative_type">
Return the derivative type (real, imaginary or complex).
**Returns**
The derivative type.
</Attribute>
### options
<Attribute id="qiskit.algorithms.gradients.BaseEstimatorGradient.options">
Return the union of estimator options setting and gradient default options, where, if the same field is set in both, the gradients default options override the primitives default setting.
**Returns**
The gradient default + estimator options.
</Attribute>
## Methods
### run
<Function id="qiskit.algorithms.gradients.BaseEstimatorGradient.run" signature="run(circuits, observables, parameter_values, parameters=None, **options)">
Run the job of the estimator gradient on the given circuits.
**Parameters**
* **circuits** (*Sequence\[*[*QuantumCircuit*](qiskit.circuit.QuantumCircuit "qiskit.circuit.QuantumCircuit")*]*) The list of quantum circuits to compute the gradients.
* **observables** (*Sequence\[BaseOperator |* [*PauliSumOp*](qiskit.opflow.primitive_ops.PauliSumOp "qiskit.opflow.primitive_ops.PauliSumOp")*]*) The list of observables.
* **parameter\_values** (*Sequence\[Sequence\[*[*float*](https://docs.python.org/3/library/functions.html#float "(in Python v3.12)")*]]*) The list of parameter values to be bound to the circuit.
* **parameters** (*Sequence\[Sequence\[*[*Parameter*](qiskit.circuit.Parameter "qiskit.circuit.Parameter")*] | None] | None*) The sequence of parameters to calculate only the gradients of the specified parameters. Each sequence of parameters corresponds to a circuit in `circuits`. Defaults to None, which means that the gradients of all parameters in each circuit are calculated. None in the sequence means that the gradients of all parameters in the corresponding circuit are calculated.
* **options** Primitive backend runtime options used for circuit execution. The order of priority is: options in `run` method > gradients default options > primitives default setting. Higher priority setting overrides lower priority setting
**Returns**
The job object of the gradients of the expectation values. The i-th result corresponds to `circuits[i]` evaluated with parameters bound as `parameter_values[i]`. The j-th element of the i-th result corresponds to the gradient of the i-th circuit with respect to the j-th parameter.
**Raises**
[**ValueError**](https://docs.python.org/3/library/exceptions.html#ValueError "(in Python v3.12)") Invalid arguments are given.
**Return type**
[AlgorithmJob](qiskit.algorithms.AlgorithmJob "qiskit.algorithms.AlgorithmJob")
</Function>
### update\_default\_options
<Function id="qiskit.algorithms.gradients.BaseEstimatorGradient.update_default_options" signature="update_default_options(**options)">
Update the gradients default options setting.
**Parameters**
**\*\*options** The fields to update the default options.
</Function>
</Class>