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---
title: approximate_quantum_error
description: API reference for qiskit.providers.aer.utils.approximate_quantum_error
in_page_toc_min_heading_level: 1
python_api_type: function
python_api_name: qiskit.providers.aer.utils.approximate_quantum_error
---
# qiskit.providers.aer.utils.approximate\_quantum\_error
<Function id="qiskit.providers.aer.utils.approximate_quantum_error" isDedicatedPage={true} github="https://github.com/qiskit/qiskit-aer/tree/stable/0.9/qiskit/providers/aer/utils/noise_transformation.py" signature="approximate_quantum_error(error, *, operator_string=None, operator_dict=None, operator_list=None)">
Return an approximate QuantumError bases on the Hilbert-Schmidt metric.
Currently this is only implemented for 1-qubit QuantumErrors.
**Parameters**
* **error** ([*QuantumError*](qiskit.providers.aer.noise.QuantumError "qiskit.providers.aer.noise.QuantumError")) the error to be approximated.
* **operator\_string** (*string or None*) a name for a pre-made set of building blocks for the output channel (Default: None).
* **operator\_dict** (*dict or None*) a dictionary whose values are the building blocks for the output channel (Default: None).
* **operator\_list** (*dict or None*) list of building blocks for the output channel (Default: None).
**Returns**
the approximate quantum error.
**Return type**
[QuantumError](qiskit.providers.aer.noise.QuantumError "qiskit.providers.aer.noise.QuantumError")
**Raises**
* **NoiseError** if number of qubits is not supported or approximation failed.
* **RuntimeError** If theres no information about the noise type.
## Additional Information:
The operator input precedence is: `list` \< `dict` \< `str`. If a string is given, dict is overwritten; if a dict is given, list is overwritten. Oossible values for string are `'pauli'`, `'reset'`, `'clifford'`. For further information see `NoiseTransformer.named_operators()`.
</Function>