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---
title: ACGSynthesisPermutation
description: API reference for qiskit.transpiler.passes.ACGSynthesisPermutation
in_page_toc_min_heading_level: 1
python_api_type: class
python_api_name: qiskit.transpiler.passes.ACGSynthesisPermutation
---
# ACGSynthesisPermutation
<Class id="qiskit.transpiler.passes.ACGSynthesisPermutation" isDedicatedPage={true} github="https://github.com/qiskit/qiskit/tree/stable/0.23/qiskit/transpiler/passes/synthesis/high_level_synthesis.py" signature="ACGSynthesisPermutation" modifiers="class">
Bases: [`qiskit.transpiler.passes.synthesis.plugin.HighLevelSynthesisPlugin`](qiskit.transpiler.passes.synthesis.plugin.HighLevelSynthesisPlugin "qiskit.transpiler.passes.synthesis.plugin.HighLevelSynthesisPlugin")
The permutation synthesis plugin based on the Alon, Chung, Graham method.
This plugin can be accessed by the `acg` method name in the `HLSConfig` for `permutation`. For example:
```python
from qiskit.circuit import QuantumCircuit
from qiskit.circuit.library import PermutationGate
from qiskit.transpiler import PassManager
from qiskit.transpiler.passes.synthesis.high_level_synthesis import HLSConfig, HighLevelSynthesis
from qiskit.transpiler.passes.synthesis.plugin import HighLevelSynthesisPluginManager
# Create a permutation and add it to a quantum circuit
perm = PermutationGate([4, 6, 3, 7, 1, 2, 0, 5])
qc = QuantumCircuit(8)
qc.append(perm, range(8))
# ACGSynthesisPermutation plugin for permutations
# Returns a quantum circuit with size 6 and depth 2
qct = PassManager(HighLevelSynthesis(HLSConfig(permutation=[("acg", {})]))).run(qc)
print(f"acg: {qct.size() = }, {qct.depth() = }")
```
## Methods
### run
<Function id="qiskit.transpiler.passes.ACGSynthesisPermutation.run" signature="ACGSynthesisPermutation.run(high_level_object, **options)">
Run synthesis for the given Permutation.
</Function>
</Class>