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
abstract ProductFormula.synthesize(evolution)
Synthesize an qiskit.circuit.library.PauliEvolutionGate.
Parameters
evolution (PauliEvolutionGate) – The evolution gate to synthesize.
Returns
A circuit implementing the evolution.
Return type
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.