51 lines
3.0 KiB
Plaintext
51 lines
3.0 KiB
Plaintext
---
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title: synth_clifford_layers
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description: API reference for qiskit.synthesis.synth_clifford_layers
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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_clifford_layers
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---
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# qiskit.synthesis.synth\_clifford\_layers
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<Function id="qiskit.synthesis.synth_clifford_layers" isDedicatedPage={true} github="https://github.com/qiskit/qiskit/tree/stable/0.23/qiskit/synthesis/clifford/clifford_decompose_layers.py" signature="synth_clifford_layers(cliff, cx_synth_func=<function _default_cx_synth_func>, cz_synth_func=<function _default_cz_synth_func>, cx_cz_synth_func=None, validate=False)">
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Synthesis of a Clifford into layers, it provides a similar decomposition to the synthesis described in Lemma 8 of \[1].
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For example, a 5-qubit Clifford circuit is decomposed into the following layers:
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```python
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┌─────┐┌─────┐┌────────┐┌─────┐┌─────┐┌─────┐┌─────┐┌────────┐
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q_0: ┤0 ├┤0 ├┤0 ├┤0 ├┤0 ├┤0 ├┤0 ├┤0 ├
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│ ││ ││ ││ ││ ││ ││ ││ │
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q_1: ┤1 ├┤1 ├┤1 ├┤1 ├┤1 ├┤1 ├┤1 ├┤1 ├
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│ ││ ││ ││ ││ ││ ││ ││ │
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q_2: ┤2 S2 ├┤2 CZ ├┤2 CX_dg ├┤2 H2 ├┤2 S1 ├┤2 CZ ├┤2 H1 ├┤2 Pauli ├
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│ ││ ││ ││ ││ ││ ││ ││ │
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q_3: ┤3 ├┤3 ├┤3 ├┤3 ├┤3 ├┤3 ├┤3 ├┤3 ├
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│ ││ ││ ││ ││ ││ ││ ││ │
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q_4: ┤4 ├┤4 ├┤4 ├┤4 ├┤4 ├┤4 ├┤4 ├┤4 ├
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└─────┘└─────┘└────────┘└─────┘└─────┘└─────┘└─────┘└────────┘
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```
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**Parameters**
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* **cliff** ([*Clifford*](qiskit.quantum_info.Clifford "qiskit.quantum_info.Clifford")) – a clifford operator.
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* **cx\_synth\_func** (*Callable*) – a function to decompose the CX sub-circuit.
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* **cz\_synth\_func** (*Callable*) – a function to decompose the CZ sub-circuit.
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* **cx\_cz\_synth\_func** (*Callable*) – optional, a function to decompose both sub-circuits CZ and CX.
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* **validate** (*Boolean*) – if True, validates the synthesis process.
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**Returns**
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a circuit implementation of the Clifford.
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**Return type**
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[QuantumCircuit](qiskit.circuit.QuantumCircuit "qiskit.circuit.QuantumCircuit")
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## Reference:
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1. S. Bravyi, D. Maslov, *Hadamard-free circuits expose the structure of the Clifford group*, [arXiv:2003.09412 \[quant-ph\]](https://arxiv.org/abs/2003.09412)
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</Function>
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