43 lines
1.4 KiB
Plaintext
43 lines
1.4 KiB
Plaintext
---
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title: phase_damping_error
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description: API reference for qiskit.providers.aer.noise.phase_damping_error
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in_page_toc_min_heading_level: 1
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python_api_type: function
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python_api_name: qiskit.providers.aer.noise.phase_damping_error
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---
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# qiskit.providers.aer.noise.phase\_damping\_error
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<Function id="qiskit.providers.aer.noise.phase_damping_error" isDedicatedPage={true} github="https://github.com/qiskit/qiskit-aer/tree/stable/0.9/qiskit/providers/aer/noise/errors/standard_errors.py" signature="phase_damping_error(param_phase, canonical_kraus=True)">
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Return a single-qubit combined phase and amplitude damping quantum error channel.
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The single-qubit combined phase and amplitude damping channel is described by the following Kraus matrices:
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```python
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A0 = [[1, 0], [0, sqrt(1 - b)]]
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A2 = [[0, 0], [0, sqrt(b)]]
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```
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where `b = param_phase`. The equilibrium state after infinitely many applications of the channel is:
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```python
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rho_eq = [[rho_init[0, 0], 0]], [0, rho_init[1, 1]]]
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```
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where `rho_init` is the input state ρ.
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**Parameters**
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* **param\_phase** (*double*) – the phase damping parameter.
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* **canonical\_kraus** (*bool*) – Convert input Kraus matrices into the canonical Kraus representation (default: True)
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**Returns**
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a quantum error object for a noise model.
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**Return type**
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[QuantumError](qiskit.providers.aer.noise.QuantumError "qiskit.providers.aer.noise.QuantumError")
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</Function>
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