ProductFormula

class ProductFormula(order, reps=1, insert_barriers=False, cx_structure='chain', atomic_evolution=None)

Bases: qiskit.synthesis.evolution.evolution_synthesis.EvolutionSynthesis

Product formula base class for the decomposition of non-commuting operator exponentials.

LieTrotter and SuzukiTrotter inherit from this class.

Parameters

• order (int) – The order of the product formula.

• reps (int) – The number of time steps.

• insert_barriers (bool) – Whether to insert barriers between the atomic evolutions.

• 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.

• atomic_evolution (Optional[Callable[[Union[Pauli, SparsePauliOp], float], 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.

Methods

synthesize

Synthesize an qiskit.circuit.library.PauliEvolutionGate.

Attributes

settings

Return the settings in a dictionary, which can be used to reconstruct the object.

Return type

Dict[str, Any]

Returns

A dictionary containing the settings of this product formula.

Raises

NotImplementedError – If a custom atomic evolution is set, which cannot be serialized.