44 lines
1.6 KiB
Plaintext
44 lines
1.6 KiB
Plaintext
---
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title: amplitude_damping_error
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description: API reference for qiskit.providers.aer.noise.amplitude_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.amplitude_damping_error
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---
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# qiskit.providers.aer.noise.amplitude\_damping\_error
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<Function id="qiskit.providers.aer.noise.amplitude_damping_error" isDedicatedPage={true} github="https://github.com/qiskit/qiskit-aer/tree/stable/0.10/qiskit/providers/aer/noise/errors/standard_errors.py" signature="amplitude_damping_error(param_amp, excited_state_population=0, canonical_kraus=True)">
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Return a single-qubit generalized amplitude damping quantum error channel.
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The single-qubit amplitude damping channel is described by the following Kraus matrices:
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```python
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A0 = sqrt(1 - p1) * [[1, 0], [0, sqrt(1 - a)]]
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A1 = sqrt(1 - p1) * [[0, sqrt(a)], [0, 0]]
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B0 = sqrt(p1) * [[sqrt(1 - a), 0], [0, 1]]
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B1 = sqrt(p1) * [[0, 0], [sqrt(a), 0]]
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```
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where `a = param_amp`, `p1 = excited_state_population`. The equilibrium state after infinitely many applications of the channel is:
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```python
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rho_eq = [[1 - p1, 0]], [0, p1]]
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```
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**Parameters**
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* **param\_amp** (*double*) – the amplitude damping parameter.
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* **excited\_state\_population** (*double*) – the population of $|0\rangle$ state at equilibrium (default: 0).
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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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