qiskit-documentation/docs/api/qiskit/0.37/synthesis.mdx

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---
title: synthesis
description: API reference for qiskit.synthesis
in_page_toc_min_heading_level: 2
python_api_type: module
python_api_name: qiskit.synthesis
---
<span id="module-qiskit.synthesis" />
<span id="qiskit-synthesis" />
# Circuit Synthesis
<span id="module-qiskit.synthesis" />
`qiskit.synthesis`
## Evolution Synthesis
| | |
| ---------------------------------------------------------------------------------------------------------- | ---------------------------------------------------------------------------------------- |
| [`EvolutionSynthesis`](qiskit.synthesis.EvolutionSynthesis "qiskit.synthesis.EvolutionSynthesis")() | Interface for evolution synthesis algorithms. |
| [`ProductFormula`](qiskit.synthesis.ProductFormula "qiskit.synthesis.ProductFormula")(order\[, reps, ...]) | Product formula base class for the decomposition of non-commuting operator exponentials. |
| [`LieTrotter`](qiskit.synthesis.LieTrotter "qiskit.synthesis.LieTrotter")(\[reps, insert\_barriers, ...]) | The Lie-Trotter product formula. |
| [`SuzukiTrotter`](qiskit.synthesis.SuzukiTrotter "qiskit.synthesis.SuzukiTrotter")(\[order, reps, ...]) | The (higher order) Suzuki-Trotter product formula. |
| [`MatrixExponential`](qiskit.synthesis.MatrixExponential "qiskit.synthesis.MatrixExponential")() | Exact operator evolution via matrix exponentiation and unitary synthesis. |