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---
title: SPSASamplerGradient
description: API reference for qiskit.algorithms.gradients.SPSASamplerGradient
in_page_toc_min_heading_level: 1
python_api_type: class
python_api_name: qiskit.algorithms.gradients.SPSASamplerGradient
---
# SPSASamplerGradient
<Class id="qiskit.algorithms.gradients.SPSASamplerGradient" isDedicatedPage={true} github="https://github.com/qiskit/qiskit/tree/stable/0.22/qiskit/algorithms/gradients/spsa_sampler_gradient.py" signature="SPSASamplerGradient(sampler, epsilon, batch_size=1, seed=None, **options)" modifiers="class">
Bases: [`qiskit.algorithms.gradients.base_sampler_gradient.BaseSamplerGradient`](qiskit.algorithms.gradients.BaseSamplerGradient "qiskit.algorithms.gradients.base_sampler_gradient.BaseSamplerGradient")
Compute the gradients of the sampling probability by the Simultaneous Perturbation Stochastic Approximation (SPSA).
**Parameters**
* **sampler** ([*BaseSampler*](qiskit.primitives.BaseSampler "qiskit.primitives.BaseSampler")) The sampler used to compute the gradients.
* **epsilon** (*float*) The offset size for the SPSA gradients.
* **batch\_size** (*int*) number of gradients to average.
* **seed** (*int | None*) The seed for a random perturbation vector.
* **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
**Raises**
**ValueError** If `epsilon` is not positive.
## Methods
### run
<Function id="qiskit.algorithms.gradients.SPSASamplerGradient.run" signature="SPSASamplerGradient.run(circuits, parameter_values, parameters=None, **options)">
Run the job of the sampler gradient on the given circuits.
**Parameters**
* **circuits** The list of quantum circuits to compute the gradients.
* **parameter\_values** The list of parameter values to be bound to the circuit.
* **parameters** 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.
* **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 sampling probability. The i-th result corresponds to `circuits[i]` evaluated with parameters bound as `parameter_values[i]`. The j-th quasi-probability distribution in the i-th result corresponds to the gradients of the sampling probability for the j-th parameter in `circuits[i]`.
**Raises**
**ValueError** Invalid arguments are given.
</Function>
### update\_default\_options
<Function id="qiskit.algorithms.gradients.SPSASamplerGradient.update_default_options" signature="SPSASamplerGradient.update_default_options(**options)">
Update the gradients default options setting.
**Parameters**
**\*\*options** The fields to update the default options.
</Function>
## Attributes
### options
<Attribute id="qiskit.algorithms.gradients.SPSASamplerGradient.options">
Return the union of sampler options setting and gradient default options, where, if the same field is set in both, the gradients default options override the primitives default setting.
**Return type**
[`Options`](qiskit.providers.Options "qiskit.providers.options.Options")
**Returns**
The gradient default + sampler options.
</Attribute>
</Class>