37 lines
1.3 KiB
Plaintext
37 lines
1.3 KiB
Plaintext
---
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title: synth_cnotdihedral_two_qubits
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description: API reference for qiskit.synthesis.synth_cnotdihedral_two_qubits
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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_cnotdihedral_two_qubits
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---
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<span id="qiskit-synthesis-synth-cnotdihedral-two-qubits" />
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# qiskit.synthesis.synth\_cnotdihedral\_two\_qubits
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<Function id="qiskit.synthesis.synth_cnotdihedral_two_qubits" isDedicatedPage={true} github="https://github.com/qiskit/qiskit/tree/stable/0.24/qiskit/synthesis/cnotdihedral/cnotdihedral_decompose_two_qubits.py" signature="synth_cnotdihedral_two_qubits(elem)">
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Decompose a CNOTDihedral element on a single qubit and two qubits into a QuantumCircuit. This decomposition has an optimal number of CX gates.
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**Parameters**
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**elem** ([*CNOTDihedral*](qiskit.quantum_info.CNOTDihedral "qiskit.quantum_info.CNOTDihedral")) – a CNOTDihedral element.
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**Returns**
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a circuit implementation of the CNOTDihedral element.
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**Return type**
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[QuantumCircuit](qiskit.circuit.QuantumCircuit "qiskit.circuit.QuantumCircuit")
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**Raises**
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**QiskitError** – if the element in not 1-qubit or 2-qubit CNOTDihedral.
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## Reference:
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1. Shelly Garion and Andrew W. Cross, *On the structure of the CNOT-Dihedral group*, [arXiv:2006.12042 \[quant-ph\]](https://arxiv.org/abs/2006.12042)
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</Function>
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