29 lines
1.4 KiB
Plaintext
29 lines
1.4 KiB
Plaintext
---
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title: synth_permutation_basic
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description: API reference for qiskit.synthesis.synth_permutation_basic
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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.synthesis.synth_permutation_basic
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---
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# qiskit.synthesis.synth\_permutation\_basic
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<Function id="qiskit.synthesis.synth_permutation_basic" isDedicatedPage={true} github="https://github.com/qiskit/qiskit/tree/stable/0.23/qiskit/synthesis/permutation/permutation_full.py" signature="synth_permutation_basic(pattern)">
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Synthesize a permutation circuit for a fully-connected architecture using sorting.
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More precisely, if the input permutation is a cycle of length `m`, then this creates a quantum circuit with `m-1` SWAPs (and of depth `m-1`); if the input permutation consists of several disjoint cycles, then each cycle is essentially treated independently.
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**Parameters**
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**pattern** (*Union\[list\[int], np.ndarray]*) – permutation pattern, describing which qubits occupy the positions 0, 1, 2, etc. after applying the permutation. That is, `pattern[k] = m` when the permutation maps qubit `m` to position `k`. As an example, the pattern `[2, 4, 3, 0, 1]` means that qubit `2` goes to position `0`, qubit `4` goes to position `1`, etc.
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**Returns**
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the synthesized quantum circuit.
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**Return type**
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[QuantumCircuit](qiskit.circuit.QuantumCircuit "qiskit.circuit.QuantumCircuit")
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</Function>
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