67 lines
3.0 KiB
Plaintext
67 lines
3.0 KiB
Plaintext
---
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title: ProductFormula
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description: API reference for qiskit.synthesis.ProductFormula
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in_page_toc_min_heading_level: 1
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python_api_type: class
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python_api_name: qiskit.synthesis.ProductFormula
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---
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# ProductFormula
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<Class id="qiskit.synthesis.ProductFormula" isDedicatedPage={true} github="https://github.com/qiskit/qiskit/tree/stable/0.21/qiskit/synthesis/evolution/product_formula.py" signature="ProductFormula(order, reps=1, insert_barriers=False, cx_structure='chain', atomic_evolution=None)" modifiers="class">
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Bases: [`qiskit.synthesis.evolution.evolution_synthesis.EvolutionSynthesis`](qiskit.synthesis.EvolutionSynthesis "qiskit.synthesis.evolution.evolution_synthesis.EvolutionSynthesis")
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Product formula base class for the decomposition of non-commuting operator exponentials.
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[`LieTrotter`](qiskit.synthesis.LieTrotter "qiskit.synthesis.LieTrotter") and [`SuzukiTrotter`](qiskit.synthesis.SuzukiTrotter "qiskit.synthesis.SuzukiTrotter") inherit from this class.
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**Parameters**
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* **order** (`int`) – The order of the product formula.
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* **reps** (`int`) – The number of time steps.
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* **insert\_barriers** (`bool`) – Whether to insert barriers between the atomic evolutions.
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* **cx\_structure** (`str`) – How to arrange the CX gates for the Pauli evolutions, can be “chain”, where next neighbor connections are used, or “fountain”, where all qubits are connected to one.
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* **atomic\_evolution** (`Optional`\[`Callable`\[\[`Union`\[[`Pauli`](qiskit.quantum_info.Pauli "qiskit.quantum_info.operators.symplectic.pauli.Pauli"), [`SparsePauliOp`](qiskit.quantum_info.SparsePauliOp "qiskit.quantum_info.operators.symplectic.sparse_pauli_op.SparsePauliOp")], `float`], [`QuantumCircuit`](qiskit.circuit.QuantumCircuit "qiskit.circuit.quantumcircuit.QuantumCircuit")]]) – A function to construct the circuit for the evolution of single Pauli string. Per default, a single Pauli evolution is decomopsed in a CX chain and a single qubit Z rotation.
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## Methods
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### synthesize
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<Function id="qiskit.synthesis.ProductFormula.synthesize" signature="ProductFormula.synthesize(evolution)" modifiers="abstract">
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Synthesize an `qiskit.circuit.library.PauliEvolutionGate`.
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**Parameters**
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**evolution** ([*PauliEvolutionGate*](qiskit.circuit.library.PauliEvolutionGate "qiskit.circuit.library.PauliEvolutionGate")) – The evolution gate to synthesize.
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**Returns**
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A circuit implementing the evolution.
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**Return type**
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[QuantumCircuit](qiskit.circuit.QuantumCircuit "qiskit.circuit.QuantumCircuit")
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</Function>
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## Attributes
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### settings
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<Attribute id="qiskit.synthesis.ProductFormula.settings">
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Return the settings in a dictionary, which can be used to reconstruct the object.
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**Return type**
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`Dict`\[`str`, `Any`]
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**Returns**
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A dictionary containing the settings of this product formula.
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**Raises**
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**NotImplementedError** – If a custom atomic evolution is set, which cannot be serialized.
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</Attribute>
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</Class>
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