47 lines
2.0 KiB
Plaintext
47 lines
2.0 KiB
Plaintext
---
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title: process_fidelity
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description: API reference for qiskit.quantum_info.process_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.process_fidelity
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---
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<span id="qiskit-quantum-info-process-fidelity" />
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# qiskit.quantum\_info.process\_fidelity
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<Function id="qiskit.quantum_info.process_fidelity" isDedicatedPage={true} github="https://github.com/qiskit/qiskit/tree/stable/0.16/qiskit/quantum_info/operators/measures.py" signature="process_fidelity(channel, target=None, require_cp=True, require_tp=False, require_cptp=False)">
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Return the process fidelity of a noisy quantum channel.
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This process fidelity $F_{\text{pro}}$ is given by
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$$
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F_{\text{pro}}(\mathcal{E}, U)
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= \frac{Tr[S_U^\dagger S_{\mathcal{E}}]}{d^2}
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$$
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where $S_{\mathcal{E}}, S_{U}$ are the [`SuperOp`](qiskit.quantum_info.SuperOp "qiskit.quantum_info.SuperOp") matrices for the input quantum *channel* $\cal{E}$ and *target* unitary $U$ respectively, and $d$ is the dimension of the *channel*.
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**Parameters**
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* **channel** (*QuantumChannel*) – 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*) – require channel to be completely-positive \[Default: True].
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* **require\_tp** (*bool*) – require channel to be trace-preserving \[Default: False].
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* **require\_cptp** (*bool*) – (DEPRECATED) require input channels to be CPTP \[Default: False].
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**Returns**
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The process fidelity $F_{\text{pro}}$.
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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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* **QiskitError** – if the channel and target or are not completely-positive (with `require_cp=True`) or not trace-preserving (with `require_tp=True`).
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</Function>
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