34 lines
1.5 KiB
Plaintext
34 lines
1.5 KiB
Plaintext
---
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title: synth_cnotdihedral_full
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description: API reference for qiskit.synthesis.synth_cnotdihedral_full
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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_full
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---
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<span id="qiskit-synthesis-synth-cnotdihedral-full" />
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# qiskit.synthesis.synth\_cnotdihedral\_full
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<Function id="qiskit.synthesis.synth_cnotdihedral_full" isDedicatedPage={true} github="https://github.com/qiskit/qiskit/tree/stable/0.24/qiskit/synthesis/cnotdihedral/cnotdihedral_decompose_full.py" signature="synth_cnotdihedral_full(elem)">
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Decompose a CNOTDihedral element into a QuantumCircuit. For N \<= 2 qubits this is based on optimal CX cost decomposition from reference \[1]. For N > 2 qubits this is done using the general non-optimal compilation routine from reference \[2].
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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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**References**
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1. Shelly Garion and Andrew W. Cross, *Synthesis of CNOT-Dihedral circuits with optimal number of two qubit gates*, [Quantum 4(369), 2020](https://quantum-journal.org/papers/q-2020-12-07-369/)
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2. Andrew W. Cross, Easwar Magesan, Lev S. Bishop, John A. Smolin and Jay M. Gambetta, *Scalable randomised benchmarking of non-Clifford gates*, npj Quantum Inf 2, 16012 (2016).
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</Function>
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