47 lines
1.6 KiB
Plaintext
47 lines
1.6 KiB
Plaintext
---
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title: depolarizing_error
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description: API reference for qiskit.providers.aer.noise.depolarizing_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.depolarizing_error
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---
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# qiskit.providers.aer.noise.depolarizing\_error
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<Function id="qiskit.providers.aer.noise.depolarizing_error" isDedicatedPage={true} github="https://github.com/qiskit/qiskit-aer/tree/stable/0.8/qiskit/providers/aer/noise/errors/standard_errors.py" signature="depolarizing_error(param, num_qubits, standard_gates=True)">
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Return a depolarizing quantum error channel.
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The depolarizing channel is defined as:
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$$
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E(ρ) = (1 - λ) ρ + λ \text{Tr}[ρ] \frac{I}{2^n}
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$$
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with $0 \le λ \le 4^n / (4^n - 1)$
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where $λ$ is the depolarizing error param and :math\`n\` is the number of qubits.
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* If $λ = 0$ this is the identity channel $E(ρ) = ρ$
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* If $λ = 1$ this is a completely depolarizing channel $E(ρ) = I / 2^n$
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* If $λ = 4^n / (4^n - 1)$ this is a uniform Pauli error channel: $E(ρ) = \sum_j P_j ρ P_j / (4^n - 1)$ for all $P_j != I$.
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**Parameters**
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* **param** (*double*) – depolarizing error parameter.
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* **num\_qubits** (*int*) – the number of qubits for the error channel.
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* **standard\_gates** (*bool*) – if True return the operators as standard qobj Pauli gate instructions. If false return as unitary matrix qobj instructions. (Default: True)
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**Returns**
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The quantum error object.
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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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**Raises**
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**NoiseError** – If noise parameters are invalid.
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</Function>
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