45 lines
2.1 KiB
Plaintext
45 lines
2.1 KiB
Plaintext
---
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title: average_gate_fidelity
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description: API reference for qiskit.quantum_info.average_gate_fidelity
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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.quantum_info.average_gate_fidelity
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---
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# qiskit.quantum\_info.average\_gate\_fidelity
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<Function id="qiskit.quantum_info.average_gate_fidelity" isDedicatedPage={true} github="https://github.com/qiskit/qiskit/tree/stable/0.20/qiskit/quantum_info/operators/measures.py" signature="average_gate_fidelity(channel, target=None, require_cp=True, require_tp=False)">
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Return the average gate fidelity of a noisy quantum channel.
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The average gate fidelity $F_{\text{ave}}$ is given by
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$$
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\begin{split}F_{\text{ave}}(\mathcal{E}, U)
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&= \int d\psi \langle\psi|U^\dagger
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\mathcal{E}(|\psi\rangle\!\langle\psi|)U|\psi\rangle \\
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&= \frac{d F_{\text{pro}}(\mathcal{E}, U) + 1}{d + 1}\end{split}
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$$
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where $F_{\text{pro}}(\mathcal{E}, U)$ is the [`process_fidelity()`](qiskit.quantum_info.process_fidelity "qiskit.quantum_info.process_fidelity") of the input quantum *channel* $\mathcal{E}$ with a *target* unitary $U$, and $d$ is the dimension of the *channel*.
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**Parameters**
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* **channel** (*QuantumChannel or* [*Operator*](qiskit.quantum_info.Operator "qiskit.quantum_info.Operator")) – noisy quantum channel.
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* **target** ([*Operator*](qiskit.quantum_info.Operator "qiskit.quantum_info.Operator") *or None*) – target unitary operator. If None target is the identity operator \[Default: None].
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* **require\_cp** (*bool*) – check if input and target channels are completely-positive and if non-CP log warning containing negative eigenvalues of Choi-matrix \[Default: True].
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* **require\_tp** (*bool*) – check if input and target channels are trace-preserving and if non-TP log warning containing negative eigenvalues of partial Choi-matrix $Tr_{\mbox{out}}[\mathcal{E}] - I$ \[Default: True].
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**Returns**
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The average gate fidelity $F_{\text{ave}}$.
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**Return type**
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float
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**Raises**
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**QiskitError** – if the channel and target do not have the same dimensions, or have different input and output dimensions.
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</Function>
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